메뉴 건너뛰기




Volumn , Issue , 2012, Pages 1-401

Time Reversibility, Computer Simulation, Algorithms, Chaos, 2nd Edition

Author keywords

[No Author keywords available]

Indexed keywords


EID: 85129081535     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1142/8344     Document Type: Book
Times cited : (38)

References (170)
  • 2
  • 4
    • 35949037738 scopus 로고
    • Kolmogorov Entropy and Numerical Experiments
    • G. Benettin, L. Galgani, and J. M. Strelcyn, “Kolmogorov Entropy and Numerical Experiments”, Physical Review A 14, 2338-2345 (1976).
    • (1976) Physical Review A , vol.14 , pp. 2338-2345
    • Benettin, G.1    Galgani, L.2    Strelcyn, J.M.3
  • 5
    • 0018989294 scopus 로고
    • Lyapunov Exponents for Smooth Dynamical Systems and for Hamiltonian Systems; a Method for Computing All of Them
    • G. Benettin, L. Galgani, A. Giorgilli, and J. M. Strelcyn, “Lyapunov Exponents for Smooth Dynamical Systems and for Hamiltonian Systems; a Method for Computing All of Them”, Meccanica 15, 9-30 (1980).
    • (1980) Meccanica , vol.15 , pp. 9-30
    • Benettin, G.1    Galgani, L.2    Giorgilli, A.3    Strelcyn, J.M.4
  • 7
    • 77957755837 scopus 로고    scopus 로고
    • Covariant Lyapunov Vectors for Rigid Disk Systems
    • H. Bosetti and H. A. Posch, “Covariant Lyapunov Vectors for Rigid Disk Systems”, Chemical Physics 375, 296-308 (2010).
    • (2010) Chemical Physics , vol.375 , pp. 296-308
    • Bosetti, H.1    Posch, H.A.2
  • 8
    • 0040085893 scopus 로고
    • A Physicist’s Second Reaction to Mengenlehre
    • P. W. Bridgman, “A Physicist’s Second Reaction to Mengenlehre”, Scripta Mathematica 2, 101-117 and 224-234 (1934).
    • (1934) Scripta Mathematica , vol.2 , pp. 101-117
    • Bridgman, P.W.1
  • 9
    • 0002881494 scopus 로고
    • The Thermodynamics of Plastic Deformation and Generalized Entropy
    • P. W. Bridgman, “The Thermodynamics of Plastic Deformation and Generalized Entropy”, Reviews of Modern Physics 22, 56-63 (1950).
    • (1950) Reviews of Modern Physics , vol.22 , pp. 56-63
    • Bridgman, P.W.1
  • 10
    • 0011105078 scopus 로고
    • Science of Chaos or Chaos in Science?
    • J. Bricmont, “Science of Chaos or Chaos in Science?”, Physicalia 17, 159-212 (1995).
    • (1995) Physicalia , vol.17 , pp. 159-212
    • Bricmont, J.1
  • 11
    • 11744250193 scopus 로고    scopus 로고
    • Heat Flux at the Transition from Harmonic to Chaotic Flow in Thermal Convection
    • V. M. Castillo and Wm. G. Hoover, “Heat Flux at the Transition from Harmonic to Chaotic Flow in Thermal Convection”, Physical Review E 58, 4016-4018 (1997).
    • (1997) Physical Review E , vol.58 , pp. 4016-4018
    • Castillo, V.M.1    Hoover, W.G.2
  • 12
    • 0000382975 scopus 로고    scopus 로고
    • Coexisting Attractors in Compressible Rayleigh-Bénard Flow
    • V. M. Castillo, Wm. G. Hoover, and C. G. Hoover, “Coexisting Attractors in Compressible Rayleigh-Bénard Flow”, Physical Review E 55, 5546-5550 (1997).
    • (1997) Physical Review E , vol.55 , pp. 5546-5550
    • Castillo, V.M.1    Hoover, W.G.2    Hoover, C.G.3
  • 16
    • 6644219668 scopus 로고    scopus 로고
    • Pseudochaos in Statistical Physics
    • E. Infeld, R. Żelazny, and A. Galkowski, Editors Cambridge University Press
    • B. Chirikov, “Pseudochaos in Statistical Physics”, 149-171 in Nonlinear Dynamics, Chaotic and Complex Systems, E. Infeld, R. Żelazny, and A. Galkowski, Editors (Cambridge University Press, 1997).
    • (1997) Nonlinear Dynamics, Chaotic and Complex Systems , pp. 149-171
    • Chirikov, B.1
  • 17
    • 0001786190 scopus 로고    scopus 로고
    • Variational Principles for Thermostated Systems
    • P. Choquard, “Variational Principles for Thermostated Systems”, Chaos 8, 350-356 (1998).
    • (1998) Chaos , vol.8 , pp. 350-356
    • Choquard, P.1
  • 18
    • 33644556512 scopus 로고    scopus 로고
    • Ninth and Tenth Order Virial Coefficients for Hard Spheres in D Dimensions
    • N. Clisby and B. M. McCoy, “Ninth and Tenth Order Virial Coefficients for Hard Spheres in D Dimensions”, Journal of Statistical Physics 122, 15-57 (2006).
    • (2006) Journal of Statistical Physics , vol.122 , pp. 15-57
    • Clisby, N.1    McCoy, B.M.2
  • 21
    • 85129040477 scopus 로고    scopus 로고
    • Popper on Boltzmann’s Theory of the Direction of Time
    • R. Sexl and J. Blackmore, Editors (Akademische Druck, Graz, 1982)
    • M. Curd, “Popper on Boltzmann’s Theory of the Direction of Time”, 263-303 in Ludwig Boltzmann Gesamtausgabe, R. Sexl and J. Blackmore, Editors (Akademische Druck, Graz, 1982).
    • Ludwig Boltzmann Gesamtausgabe , pp. 263-303
    • Curd, M.1
  • 22
    • 0000066276 scopus 로고
    • Lyapunov Spectrum of the Driven Lorentz Gas
    • Ch. Dellago, L. Glatz, and H. A. Posch, “Lyapunov Spectrum of the Driven Lorentz Gas”, Physical Review E 52, 4817-4826 (1995).
    • (1995) Physical Review E , vol.52 , pp. 4817-4826
    • Dellago, C.1    Glatz, L.2    Posch, H.A.3
  • 24
    • 0001663833 scopus 로고    scopus 로고
    • Hamiltonian Formulation of the Gaussian Isokinetic Thermostat
    • C. P. Dettmann and G. P. Morriss, “Hamiltonian Formulation of the Gaussian Isokinetic Thermostat”, Physical Review E 54, 2495-2500 (1996).
    • (1996) Physical Review E , vol.54 , pp. 2495-2500
    • Dettmann, C.P.1    Morriss, G.P.2
  • 25
    • 0343557040 scopus 로고    scopus 로고
    • Hard Bal l Systems and the Lorentz Gas, D. Szasz, Editor. Encyclopædia of Mathematical Sciences
    • C. P. Dettmann, “The Lorentz Gas: A Paradigm for Nonequilibrium Stationary States”, in Hard Bal l Systems and the Lorentz Gas, D. Szasz, Editor. Encyclopædia of Mathematical Sciences 101, 315-365 (2000).
    • (2000) The Lorentz Gas: A Paradigm for Nonequilibrium Stationary States , vol.101 , pp. 315-365
    • Dettmann, C.P.1
  • 27
    • 85129112430 scopus 로고    scopus 로고
    • Foundations of Nonequilibrium Statistical Mechanics
    • E. Infeld, R. Żelazny, and A. Galkowski, Editors (Cambridge University Press, 1997)
    • J. P. Dougherty, “Foundations of Nonequilibrium Statistical Mechanics”, 172-178 in Nonlinear Dynamics, Chaotic and Complex Systems, E. Infeld, R. Żelazny, and A. Galkowski, Editors (Cambridge University Press, 1997).
    • Nonlinear Dynamics, Chaotic and Complex Systems , pp. 172-178
    • Dougherty, J.P.1
  • 28
    • 35949018382 scopus 로고
    • Ergodic Theory of Chaos and Strange At-tractors
    • J. P. Eckmann and D. Ruelle, “Ergodic Theory of Chaos and Strange At-tractors”, Reviews of Modern Physics 57, 617-656 (1985).
    • (1985) Reviews of Modern Physics , vol.57 , pp. 617-656
    • Eckmann, J.P.1    Ruelle, D.2
  • 31
    • 4243360952 scopus 로고
    • Probability of Second Law Violations in Shearing Steady States
    • D. J. Evans, E. G. D. Cohen, and G. P. Morriss, “Probability of Second Law Violations in Shearing Steady States”, Physical Review Letters 71, 2401-2404 (1993).
    • (1993) Physical Review Letters , vol.71 , pp. 2401-2404
    • Evans, D.J.1    Cohen, E.G.D.2    Morriss, G.P.3
  • 32
    • 48749145669 scopus 로고
    • The Dimension of Chaotic Attrac-tors
    • J. D. Farmer, E. Ott, and J. A. Yorke, “The Dimension of Chaotic Attrac-tors”, Physica D 7, 153-180 (1983).
    • (1983) Physica D , vol.7 , pp. 153-180
    • Farmer, J.D.1    Ott, E.2    Yorke, J.A.3
  • 33
    • 0000595654 scopus 로고    scopus 로고
    • originally a 1955 Los Alamos Laboratory Report LA-1940 and also available in the Col lected Works of Enrico Fermi (University of Chicago Press, 1965). The 1972 article by Tuck and Menzel reviews this work and includes some interesting analysis of recurrence in nonlinear chains
    • E. Fermi, J. R. Pasta, and S. M. Ulam, “Studies of Nonlinear Problems”, originally a 1955 Los Alamos Laboratory Report LA-1940 and also available in the Col lected Works of Enrico Fermi (University of Chicago Press, 1965). The 1972 article by Tuck and Menzel reviews this work and includes some interesting analysis of recurrence in nonlinear chains.
    • Studies of Nonlinear Problems
    • Fermi, E.1    Pasta, J.R.2    Ulam, S.M.3
  • 37
    • 50849146624 scopus 로고
    • Systematic Generation of Linear Graphs— Check and Extension of the List of Uhlenbeck and Ford
    • C. Foidl and P. Kasperkowitz, “Systematic Generation of Linear Graphs— Check and Extension of the List of Uhlenbeck and Ford”, Journal of Computational Physics 89, 246-250 (1990).
    • (1990) Journal of Computational Physics , vol.89 , pp. 246-250
    • Foidl, C.1    Kasperkowitz, P.2
  • 38
    • 5844383856 scopus 로고
    • Embedded-Atom-Method Functions for the FCC Metals Cu, Ag, Au, Ni, Pd, Pt, and Their Alloys
    • S. M. Foiles, M. I. Baskes, and M. S. Daw, “Embedded-Atom-Method Functions for the FCC Metals Cu, Ag, Au, Ni, Pd, Pt, and Their Alloys”, Physical Review B 33, 7983-7991 (1986).
    • (1986) Physical Review B , vol.33 , pp. 7983-7991
    • Foiles, S.M.1    Baskes, M.I.2    Daw, M.S.3
  • 39
    • 0001924264 scopus 로고
    • What is Chaos, that We Should be Mindful of It?
    • Cambridge University Press
    • J. Ford, “What is Chaos, that We Should be Mindful of It?”, 348-372 in The New Physics (Cambridge University Press, 1989).
    • (1989) The New Physics , pp. 348-372
    • Ford, J.1
  • 40
    • 0009132051 scopus 로고
    • The Banach-Tarski Theorem
    • R. M. French, “The Banach-Tarski Theorem”, Mathematical Intelligencer 10(4), 21-28(1988).
    • (1988) Mathematical Intelligencer , vol.10 , Issue.4 , pp. 21-28
    • French, R.M.1
  • 42
    • 4244208748 scopus 로고
    • Dynamical Ensembles in Nonequilibrium Statistical Mechanics
    • G. Gallavotti and E. G. D. Cohen, “Dynamical Ensembles in Nonequilibrium Statistical Mechanics”, Physical Review Letters 74, 2694-2697 (1995).
    • (1995) Physical Review Letters , vol.74 , pp. 2694-2697
    • Gallavotti, G.1    Cohen, E.G.D.2
  • 45
    • 33344469555 scopus 로고    scopus 로고
    • Fluctuation Theorem for Constrained Equilibrium Systems
    • T. Gilbert and J. R. Dorfman, “Fluctuation Theorem for Constrained Equilibrium Systems”, Physical Review E 73, 026121 (2006).
    • (2006) Physical Review E , vol.73
    • Gilbert, T.1    Dorfman, J.R.2
  • 46
    • 33644902980 scopus 로고    scopus 로고
    • Fluctuation Theorem Applied to the Nosé-Hoover Thermostat-ted Lorentz Gas
    • T. Gilbert, “Fluctuation Theorem Applied to the Nosé-Hoover Thermostat-ted Lorentz Gas”, Physical Review E 73, 035102(R) (2006).
    • (2006) Physical Review E , vol.73
    • Gilbert, T.1
  • 51
    • 0007091042 scopus 로고
    • Stability and Lyapunov Stability of Dynamical Systems: A Differential Approach and a Numerical Method
    • I. Goldhirsch, P. L. Sulem, and S. A. Orszag, “Stability and Lyapunov Stability of Dynamical Systems: A Differential Approach and a Numerical Method”, Physica D 27, 311-337 (1987).
    • (1987) Physica D , vol.27 , pp. 311-337
    • Goldhirsch, I.1    Sulem, P.L.2    Orszag, S.A.3
  • 53
    • 36749107929 scopus 로고
    • Formulas for Determining Local Properties in Molecular-Dynamics Simulations: Shockwaves
    • R. J. Hardy, “Formulas for Determining Local Properties in Molecular-Dynamics Simulations: Shockwaves”, Journal of Chemical Physics 76, 622-628 (1982).
    • (1982) Journal of Chemical Physics , vol.76 , pp. 622-628
    • Hardy, R.J.1
  • 54
    • 0001776630 scopus 로고
    • Transport Coefficients from Dissipation in a Canonical En-semble
    • E. Helfand, “Transport Coefficients from Dissipation in a Canonical En-semble”, Physical Review 119, 1-9 (1960).
    • (1960) Physical Review , vol.119 , pp. 1-9
    • Helfand, E.1
  • 55
    • 0001122195 scopus 로고
    • Shockwave Structure via Nonequilibrium Molecular Dynamics and Navier-Stokes Continuum Mechanics
    • B. L. Holian, Wm. G. Hoover, B. Moran, and G. K. Straub, “Shockwave Structure via Nonequilibrium Molecular Dynamics and Navier-Stokes Continuum Mechanics”, Physical Review A 22, 2798-2808 (1987).
    • (1987) Physical Review A , vol.22 , pp. 2798-2808
    • Holian, B.L.1    Hoover, W.G.2    Moran, B.3    Straub, G.K.4
  • 56
    • 0002715822 scopus 로고
    • Resolution of Loschmidt’s Paradox: The Origin of Irreversible Behavior in Reversible Atomistic Dy-namics
    • B. L. Holian, Wm. G. Hoover, and H. A. Posch, “Resolution of Loschmidt’s Paradox: the Origin of Irreversible Behavior in Reversible Atomistic Dy-namics”, Physical Review Letters 59, 10-13(1987).
    • (1987) Physical Review Letters , vol.59 , pp. 10-13
    • Holian, B.L.1    Hoover, W.G.2    Posch, H.A.3
  • 57
    • 0010022384 scopus 로고    scopus 로고
    • The Character of the Nonequilibrium Steady State: Beautiful Formalism Meets Ugly Reality
    • K. Binder and G. P. F. Ciccotti, Editors (Italian Physical Society, Bologna, 1996)
    • B. L. Holian, “The Character of the Nonequilibrium Steady State: Beautiful Formalism Meets Ugly Reality”, 791-822 in Monte Carlo and Molecular Dynamics of Condensed Matter Systems, K. Binder and G. P. F. Ciccotti, Editors (Italian Physical Society, Bologna, 1996).
    • Monte Carlo and Molecular Dynamics of Condensed Matter Systems , pp. 791-822
    • Holian, B.L.1
  • 58
    • 36849109424 scopus 로고
    • Melting Transition and Communal Entropy for Hard Spheres
    • Wm. G. Hoover and F. H. Ree, “Melting Transition and Communal Entropy for Hard Spheres”, Journal of Chemical Physics 49, 3609-3617 (1968).
    • (1968) Journal of Chemical Physics , vol.49 , pp. 3609-3617
    • Hoover, W.G.1    Ree, F.H.2
  • 59
    • 36849114363 scopus 로고
    • Number Dependence of Small-Crystal Thermodynamic Properties
    • Wm. G. Hoover, A. C. Hindmarsh, and B. L. Holian, “Number Dependence of Small-Crystal Thermodynamic Properties”, Journal of Chemical Physics 57, 1980-1985 (1972).
    • (1972) Journal of Chemical Physics , vol.57 , pp. 1980-1985
    • Hoover, W.G.1    Hindmarsh, A.C.2    Holian, B.L.3
  • 61
    • 30244509189 scopus 로고
    • Direct Measurement of Equilibrium and Nonequilibrium Lyapunov Spectra
    • Wm. G. Hoover and H. A. Posch, “Direct Measurement of Equilibrium and Nonequilibrium Lyapunov Spectra”, Physics Letters A 123, 227-230 (1987).
    • (1987) Physics Letters A , vol.123 , pp. 227-230
    • Hoover, W.G.1    Posch, H.A.2
  • 63
    • 0000661409 scopus 로고
    • Lyapunov Instability of Pendulums, Chains, and Strings
    • Wm. G. Hoover, C. G. Hoover, and H. A. Posch, “Lyapunov Instability of Pendulums, Chains, and Strings”, Physical Review A 41, 2999-3004 (1990).
    • (1990) Physical Review A , vol.41 , pp. 2999-3004
    • Hoover, W.G.1    Hoover, C.G.2    Posch, H.A.3
  • 64
    • 0004256178 scopus 로고    scopus 로고
    • (Elsevier, New York, 1991). [Keisan Toukei Rikigaku, Japanese translation by Koichiro Shida with the supervision of Susumu Kotake (Morikita Shupan, 1999).]
    • Wm. G. Hoover, Computational Statistical Mechanics (Elsevier, New York, 1991). [Keisan Toukei Rikigaku, Japanese translation by Koichiro Shida with the supervision of Susumu Kotake (Morikita Shupan, 1999).]
    • Computational Statistical Mechanics
    • Hoover, W.G.1
  • 65
    • 0001066284 scopus 로고
    • Viscous Attractor for the Galton Board
    • Wm. G. Hoover and B. Moran, “Viscous Attractor for the Galton Board”, Chaos 2, 599-602 (1992).
    • (1992) Chaos , vol.2 , pp. 599-602
    • Hoover, W.G.1    Moran, B.2
  • 66
    • 0001271818 scopus 로고
    • Comment I on ‘Possi-ble Experiment to Check the Reality of a Nonequilibrium Temperature’
    • Wm. G. Hoover, B. L. Holian, and H. A. Posch, “Comment I on ‘Possi-ble Experiment to Check the Reality of a Nonequilibrium Temperature’ ”, Physical Review E 48, 3196-3198 (1993).
    • (1993) Physical Review E , vol.48 , pp. 3196-3198
    • Hoover, W.G.1    Holian, B.L.2    Posch, H.A.3
  • 68
    • 0039300424 scopus 로고
    • Temperature, Least Action, and Lagrangian Mechanics
    • Wm. G. Hoover, “Temperature, Least Action, and Lagrangian Mechanics”, Physics Letters A 204, 133-135 (1995).
    • (1995) Physics Letters A , vol.204 , pp. 133-135
    • Hoover, W.G.1
  • 69
    • 0006329977 scopus 로고
    • Shear Viscosity via Global Control of Spatiotemporal Chaos in Two-Dimensional Isoenergetic Dense Fluids
    • Wm. G. Hoover and H. A. Posch, “Shear Viscosity via Global Control of Spatiotemporal Chaos in Two-Dimensional Isoenergetic Dense Fluids”, Physical Review E 51, 273-279 (1995).
    • (1995) Physical Review E , vol.51 , pp. 273-279
    • Hoover, W.G.1    Posch, H.A.2
  • 70
    • 0000999517 scopus 로고    scopus 로고
    • Kinetic Moments Method for the Canonical Ensemble
    • Wm. G. Hoover and B. L. Holian, “Kinetic Moments Method for the Canonical Ensemble”, Physics Letters A 211, 253-257 (1996).
    • (1996) Physics Letters A , vol.211 , pp. 253-257
    • Hoover, W.G.1    Holian, B.L.2
  • 71
    • 0030286703 scopus 로고    scopus 로고
    • Numerical Heat Conductivity in Smooth Particle Applied Mechanics
    • Wm. G. Hoover and H. A. Posch, “Numerical Heat Conductivity in Smooth Particle Applied Mechanics”, Physical Review E 54, 5142-5145 (1996).
    • (1996) Physical Review E , vol.54 , pp. 5142-5145
    • Hoover, W.G.1    Posch, H.A.2
  • 72
    • 0346615375 scopus 로고    scopus 로고
    • Mécanique de Nonéquilibre à la Californienne
    • Wm. G. Hoover, “Mécanique de Nonéquilibre à la Californienne”, Physica A 240, 1-11 (1997).
    • (1997) Physica A , vol.240 , pp. 1-11
    • Hoover, W.G.1
  • 73
    • 0032048992 scopus 로고    scopus 로고
    • Large-System Hydrodynamic Limit for Color Conductivity in Two Dimensions
    • Wm. G. Hoover, K. Boercker, and H. A. Posch, “Large-System Hydrodynamic Limit for Color Conductivity in Two Dimensions”, Physical Review E 57, 3911-3916 (1998).
    • (1998) Physical Review E , vol.57 , pp. 3911-3916
    • Hoover, W.G.1    Boercker, K.2    Posch, H.A.3
  • 74
    • 0032208015 scopus 로고    scopus 로고
    • Isomorphism Linking Smooth Particles and Embedded Atoms
    • Wm. G. Hoover, “Isomorphism Linking Smooth Particles and Embedded Atoms”, Physica A 260, 244-254 (1998).
    • (1998) Physica A , vol.260 , pp. 244-254
    • Hoover, W.G.1
  • 75
    • 0347360414 scopus 로고    scopus 로고
    • Time-Reversibility in Nonequilibrium Thermomechan-ics
    • Wm. G. Hoover, “Time-Reversibility in Nonequilibrium Thermomechan-ics”, Physica D 112, 225-240 (1998).
    • (1998) Physica D , vol.112 , pp. 225-240
    • Hoover, W.G.1
  • 76
    • 0001456439 scopus 로고    scopus 로고
    • Liouville’s Theorems, Gibbs’ Entropy, and Multifractal Distributions for Nonequilibrium Steady States
    • Wm. G. Hoover, “Liouville’s Theorems, Gibbs’ Entropy, and Multifractal Distributions for Nonequilibrium Steady States”, Journal of Chemical Physics 109, 4164-4170 (1998).
    • (1998) Journal of Chemical Physics , vol.109 , pp. 4164-4170
    • Hoover, W.G.1
  • 77
    • 0141842473 scopus 로고    scopus 로고
    • The Statistical Thermodynamics of Steady States
    • Wm. G. Hoover, “The Statistical Thermodynamics of Steady States”, Physics Letters A 255, 37-41 (1999).
    • (1999) Physics Letters A , vol.255 , pp. 37-41
    • Hoover, W.G.1
  • 78
    • 0034342456 scopus 로고    scopus 로고
    • Computer Simulation of Irreversible Expansions via Molecular Dynamics, Smooth Particle Applied Mechanics, Eulerian, and Lagrangian Continuum Mechan-ics
    • Wm. G. Hoover, H. A. Posch, V. M. Castillo, and C. G. Hoover, “Computer Simulation of Irreversible Expansions via Molecular Dynamics, Smooth Particle Applied Mechanics, Eulerian, and Lagrangian Continuum Mechan-ics”, Journal of Statistical Physics 100, 313-326 (2000).
    • (2000) Journal of Statistical Physics , vol.100 , pp. 313-326
    • Hoover, W.G.1    Posch, H.A.2    Castillo, V.M.3    Hoover, C.G.4
  • 80
    • 0034342456 scopus 로고    scopus 로고
    • Computer Simulation of Irreversible Expansions via Molecular Dynamics, Smooth Particle Applied Mechanics, Eulerian, and Lagrangian Continuum Mechanics
    • Wm. G. Hoover, H. A. Posch, V. M. Castillo, and C. G. Hoover, “Computer Simulation of Irreversible Expansions via Molecular Dynamics, Smooth Particle Applied Mechanics, Eulerian, and Lagrangian Continuum Mechanics”, Journal of Statistical Physics 100, 313-326 (2000).
    • (2000) Journal of Statistical Physics , vol.100 , pp. 313-326
    • Hoover, W.G.1    Posch, H.A.2    Castillo, V.M.3    Hoover, C.G.4
  • 83
    • 33747801691 scopus 로고    scopus 로고
    • The Second Law of Thermodynamics and Multifractal Distribution Functions: Bin Counting, Pair Correlations, and the Kaplan-Yorke Conjecture
    • Wm. G. Hoover, C. G. Hoover, H. A. Posch, and J. A. Codelli, “The Second Law of Thermodynamics and Multifractal Distribution Functions: Bin Counting, Pair Correlations, and the Kaplan-Yorke Conjecture”, Communications in Nonlinear Science and Numerical Simulation 12, 214-231 (2007).
    • (2007) Communications in Nonlinear Science and Numerical Simulation , vol.12 , pp. 214-231
    • Hoover, W.G.1    Hoover, C.G.2    Posch, H.A.3    Codelli, J.A.4
  • 85
    • 54149106311 scopus 로고    scopus 로고
    • Simulation of Two-and Three-Dimensional Dense-Fluid Shear Flows via Nonequilibrium Molecular Dynamics: Comparison of Time-and-Space-Averaged Stresses from Homogeneous Doll’s and Sllod Shear Algorithms with those from Boundary-Driven Shear
    • Wm. G. Hoover, C. G. Hoover, and J. Petravic, “Simulation of Two-and Three-Dimensional Dense-Fluid Shear Flows via Nonequilibrium Molecular Dynamics: Comparison of Time-and-Space-Averaged Stresses from Homogeneous Doll’s and Sllod Shear Algorithms with those from Boundary-Driven Shear”, Physical Review E 78, 046701 (2008).
    • (2008) Physical Review E , vol.78
    • Hoover, W.G.1    Hoover, C.G.2    Petravic, J.3
  • 87
    • 84880035913 scopus 로고    scopus 로고
    • Flexible Macroscopic Models for Dense-Fluid Shockwaves: Partitioning Heat and Work; Delaying Stress and Heat Flux; Two-Temperature Thermal Relaxation”
    • Saint Petersburg, Russia
    • Wm. G. Hoover, C. G. Hoover, and F. Uribe, “Flexible Macroscopic Models for Dense-Fluid Shockwaves: Partitioning Heat and Work; Delaying Stress and Heat Flux; Two-Temperature Thermal Relaxation”, 261-273, Proceedings of the 38th International Summer School–Conference Advanced Problems in Mechanics (Saint Petersburg, Russia, 2010).
    • (2010) Proceedings of the 38Th International Summer School–Conference Advanced Problems in Mechanics , pp. 261-273
    • Hoover, W.G.1    Hoover, C.G.2    Uribe, F.3
  • 88
    • 85163164085 scopus 로고
    • On Causality, Statistics, and Probability
    • E. Hopf, “On Causality, Statistics, and Probability”, Journal of Mathematics and Physics 13, 51-102 (1934).
    • (1934) Journal of Mathematics and Physics , vol.13 , pp. 51-102
    • Hopf, E.1
  • 89
    • 36849098736 scopus 로고
    • Exact Classical Harmonic Free Energy of the Triangular Lattice
    • D. A. Huckaby, “Exact Classical Harmonic Free Energy of the Triangular Lattice”, Journal of Chemical Physics 54, 2910-2911 (1971).
    • (1971) Journal of Chemical Physics , vol.54 , pp. 2910-2911
    • Huckaby, D.A.1
  • 90
    • 0242277087 scopus 로고    scopus 로고
    • Anosov Parameter Values for the Triple Linkage and a Physical System with a Uniformly Chaotic Attractor
    • T. J. Hunt and R. S. MacKay, “Anosov Parameter Values for the Triple Linkage and a Physical System with a Uniformly Chaotic Attractor”, Non-linearity 16, 1499-1510 (2003).
    • (2003) Non-Linearity , vol.16 , pp. 1499-1510
    • Hunt, T.J.1    Mackay, R.S.2
  • 91
    • 11644315267 scopus 로고
    • Conceptual Developments of Nonequilibrium Statistical Mechanics in the Early Days of Japan
    • M. Ichiyanagi, ”Conceptual Developments of Nonequilibrium Statistical Mechanics in the Early Days of Japan”, Physics Reports 262, 227-310 (1995).
    • (1995) Physics Reports , vol.262 , pp. 227-310
    • Ichiyanagi, M.1
  • 92
    • 0002984892 scopus 로고
    • The Concept of Irreversibility in the Kinetic Theory of Gases
    • R. Illner and H. Neunzert, “The Concept of Irreversibility in the Kinetic Theory of Gases”, Transport Theory and Statistical Physics 16, 89-112 (1987).
    • (1987) Transport Theory and Statistical Physics , vol.16 , pp. 89-112
    • Illner, R.1    Neunzert, H.2
  • 93
    • 79958145046 scopus 로고    scopus 로고
    • Equalities and Inequalities: Irreversibility and the Second Law of Thermodynamics at the Nanoscale
    • C. Jarzynski, “Equalities and Inequalities: Irreversibility and the Second Law of Thermodynamics at the Nanoscale”, Annual Reviews of Condensed Matter Physics 2, 329-351 (2011).
    • (2011) Annual Reviews of Condensed Matter Physics , vol.2 , pp. 329-351
    • Jarzynski, C.1
  • 94
    • 11944266539 scopus 로고
    • Information Theory and Statistical Mechanics
    • E. T. Jaynes, “Information Theory and Statistical Mechanics”, Physical Review 106, 620-630 (1957).
    • (1957) Physical Review , vol.106 , pp. 620-630
    • Jaynes, E.T.1
  • 95
    • 0009447495 scopus 로고
    • Violation of Boltzmann’s H Theorem in Real Gases
    • E. T. Jaynes, “Violation of Boltzmann’s H Theorem in Real Gases”, Physical Review A 4, 747-750 (1971).
    • (1971) Physical Review A , vol.4 , pp. 747-750
    • Jaynes, E.T.1
  • 97
    • 0003451932 scopus 로고
    • Chaotic Behavior of Multidimensional Difference Equations
    • Springer-Verlag, Berlin
    • J. L. Kaplan and J. A. Yorke, “Chaotic Behavior of Multidimensional Difference Equations”, in Lecture Notes in Mathematics 730, 204-227 (Springer-Verlag, Berlin, 1979).
    • (1979) Lecture Notes in Mathematics , vol.730 , pp. 204-227
    • Kaplan, J.L.1    Yorke, J.A.2
  • 98
    • 0001504385 scopus 로고    scopus 로고
    • Thermostating by Deterministic Scattering: Construction of Nonequilibrium Steady States
    • R. Klages, K. Rateitschak, and G. Nicolis, “Thermostating by Deterministic Scattering: Construction of Nonequilibrium Steady States”, Physical Review Letters 84, 4268-4271 (2000).
    • (2000) Physical Review Letters , vol.84 , pp. 4268-4271
    • Klages, R.1    Rateitschak, K.2    Nicolis, G.3
  • 100
    • 33745604734 scopus 로고    scopus 로고
    • The Physics of J. Willard Gibbs in His Time
    • Yale University, May 1989, E. G. Caldi and G. D. Mostow, Editors (American Mathematical Society, 1989)
    • M. J. Klein, “The Physics of J. Willard Gibbs in His Time”, 1-21 in Proceedings of the Gibbs Symposium, Yale University, May 1989, E. G. Caldi and G. D. Mostow, Editors (American Mathematical Society, 1989).
    • Proceedings of the Gibbs Symposium , pp. 1-21
    • Klein, M.J.1
  • 101
    • 0003668393 scopus 로고    scopus 로고
    • A. B. Migdal, Y. G. Sinai, and Y. L. Zeeman, translators (Princeton University Press, 1979)
    • N. S. Krylov, Works on the Foundations of Statistical Physics, A. B. Migdal, Y. G. Sinai, and Y. L. Zeeman, translators (Princeton University Press, 1979).
    • Works on the Foundations of Statistical Physics
    • Krylov, N.S.1
  • 103
    • 21844506378 scopus 로고
    • Time-Reversible Continuum Mechanics
    • O. Kum and Wm. G. Hoover, “Time-Reversible Continuum Mechanics”, Journal of Statistical Physics 76, 1075-1081 (1994).
    • (1994) Journal of Statistical Physics , vol.76 , pp. 1075-1081
    • Kum, O.1    Hoover, W.G.2
  • 105
    • 0000911212 scopus 로고
    • Viscous Conducting Flows with Smooth-Particle Applied Mechanics
    • O. Kum, Wm. G. Hoover, and H. A. Posch, “Viscous Conducting Flows with Smooth-Particle Applied Mechanics”, Physical Review E 52, 4899-4908 (1995).
    • (1995) Physical Review E , vol.52 , pp. 4899-4908
    • Kum, O.1    Hoover, W.G.2    Posch, H.A.3
  • 106
    • 0001213002 scopus 로고    scopus 로고
    • Temperature Maxima in Stable Two-Dimensional Shock Waves
    • O. Kum, Wm. G. Hoover, and C. G. Hoover, “Temperature Maxima in Stable Two-Dimensional Shock Waves”, Physical Review E 56, 462-465 (1997).
    • (1997) Physical Review E , vol.56 , pp. 462-465
    • Kum, O.1    Hoover, W.G.2    Hoover, C.G.3
  • 108
    • 0033446386 scopus 로고    scopus 로고
    • From Chaos to Nonequilibrium Statistical Mechanics
    • D. Kusnezov, “From Chaos to Nonequilibrium Statistical Mechanics”, Czechoslovak Journal of Physics 49, 35-87 (1999).
    • (1999) Czechoslovak Journal of Physics , vol.49 , pp. 35-87
    • Kusnezov, D.1
  • 109
    • 0000378977 scopus 로고    scopus 로고
    • Quantum Lévy Processes and Fractional Kinetics
    • D. Kusnezov, “Quantum Lévy Processes and Fractional Kinetics”, Physical Review Letters 82, 1136-1139 (1999).
    • (1999) Physical Review Letters , vol.82 , pp. 1136-1139
    • Kusnezov, D.1
  • 111
    • 12044250952 scopus 로고    scopus 로고
    • Boltzmann’s Entropy and Time’s Arrow
    • (September, 1993). See also the Letters section in volume 47 (November, 1994)
    • J. Lebowitz, “Boltzmann’s Entropy and Time’s Arrow”, Physics Today 46, 32-38 (September, 1993). See also the Letters section in volume 47 (November, 1994).
    • Physics Today , vol.46 , pp. 32-38
    • Lebowitz, J.1
  • 112
    • 0002542839 scopus 로고    scopus 로고
    • Microscopic Origins of Irreversible Behavior
    • J. Lebowitz, “Microscopic Origins of Irreversible Behavior”, Physica A 263, 516-527 (1999).
    • (1999) Physica A , vol.263 , pp. 516-527
    • Lebowitz, J.1
  • 113
  • 114
    • 0000642958 scopus 로고
    • Investigation of the Homogeneous-Shear Nonequilibrium-Molecular-Dynamics Method
    • S. Y. Liem, D. Brown, and J. H. R. Clarke, “Investigation of the Homogeneous-Shear Nonequilibrium-Molecular-Dynamics Method”, Physical Review A 45, 3706-3713 (1992).
    • (1992) Physical Review A , vol.45 , pp. 3706-3713
    • Liem, S.Y.1    Brown, D.2    Clarke, J.H.R.3
  • 115
    • 0000241853 scopus 로고
    • Deterministic Nonperiodic Flow
    • E. N. Lorenz, “Deterministic Nonperiodic Flow”, Journal of Atmospheric Science 20, 130-141 (1963).
    • (1963) Journal of Atmospheric Science , vol.20 , pp. 130-141
    • Lorenz, E.N.1
  • 116
    • 0004154108 scopus 로고
    • University of Washington Press, Seattle
    • E. N. Lorenz, The Essence of Chaos (University of Washington Press, Seattle, 1993).
    • (1993) The Essence of Chaos
    • Lorenz, E.N.1
  • 117
    • 0001765873 scopus 로고
    • A Numerical Approach to the Testing of the Fission Hypoth-esis
    • L. B. Lucy, “A Numerical Approach to the Testing of the Fission Hypoth-esis”, Astronomical Journal 82, 1013-1024 (1977).
    • (1977) Astronomical Journal , vol.82 , pp. 1013-1024
    • Lucy, L.B.1
  • 119
    • 0031161869 scopus 로고    scopus 로고
    • On the Validity of Hydrodynamics in Plane Poiseuille Flows
    • M. M. Mansour, F. Baras, and A. Garcia, “On the Validity of Hydrodynamics in Plane Poiseuille Flows”, Physica A 240, 255-267 (1997).
    • (1997) Physica A , vol.240 , pp. 255-267
    • Mansour, M.M.1    Baras, F.2    Garcia, A.3
  • 120
    • 0000591920 scopus 로고
    • Experimental Evidence for Convective Rolls in Finite Two-Dimensional Molecular Models
    • M. Mareschal and E. Kestmont, “Experimental Evidence for Convective Rolls in Finite Two-Dimensional Molecular Models”, Nature 329, 427-428 (1987).
    • (1987) Nature , vol.329 , pp. 427-428
    • Mareschal, M.1    Kestmont, E.2
  • 123
    • 0041079470 scopus 로고    scopus 로고
    • Microscopic Simulations of Complex Flows
    • 100, I. Prigogine and S. A. Rice, Editors (John Wiley & Sons, New York, 1997)
    • M. Mareschal, “Microscopic Simulations of Complex Flows”, 317-392, Advances in Chemical Physics 100, I. Prigogine and S. A. Rice, Editors (John Wiley & Sons, New York, 1997).
    • Advances in Chemical Physics , pp. 317-392
    • Mareschal, M.1
  • 128
    • 85057448677 scopus 로고
    • Simon and Schuster, New York
    • R. Morris, Time’s Arrows (Simon and Schuster, New York, 1985).
    • (1985) Time’s Arrows
    • Morris, R.1
  • 129
    • 36149003720 scopus 로고
    • The Solution of the Boltzmann Equation for a Shock-wave
    • H. M. Mott-Smith, “The Solution of the Boltzmann Equation for a Shock-wave”, Physical Review 82, 885-892 (1951).
    • (1951) Physical Review , vol.82 , pp. 885-892
    • Mott-Smith, H.M.1
  • 130
    • 34547809547 scopus 로고
    • A Unified Formulation of the Constant Temperature Molecular Dynamics Methods
    • S. Nosé, “A Unified Formulation of the Constant Temperature Molecular Dynamics Methods”, Journal of Chemical Physics 81, 511-519 (1984).
    • (1984) Journal of Chemical Physics , vol.81 , pp. 511-519
    • Nosé, S.1
  • 131
    • 0003036862 scopus 로고
    • Constant Temperature Molecular Dynamics Methods
    • S. Nosé, “Constant Temperature Molecular Dynamics Methods”, Progress of Theoretical Physics Supplement 103, 1-46 (1991).
    • (1991) Progress of Theoretical Physics Supplement , vol.103 , pp. 1-46
    • Nosé, S.1
  • 135
    • 1842799739 scopus 로고
    • Canonical Dynamics of the Nosé Oscillator; Stability, Order, and Chaos
    • H. A. Posch, Wm. G. Hoover, and F. J. Vesely, “Canonical Dynamics of the Nosé Oscillator; Stability, Order, and Chaos”, Physical Review A 33, 4253-4265 (1986).
    • (1986) Physical Review A , vol.33 , pp. 4253-4265
    • Posch, H.A.1    Hoover, W.G.2    Vesely, F.J.3
  • 136
    • 24244447090 scopus 로고
    • Equilibrium and Nonequilibrium Lyapunov Spectra for Dense Fluids and Solids
    • H. A. Posch and Wm. G. Hoover, “Equilibrium and Nonequilibrium Lyapunov Spectra for Dense Fluids and Solids”, Physical Review A 39, 2175-2188 (1989).
    • (1989) Physical Review A , vol.39 , pp. 2175-2188
    • Posch, H.A.1    Hoover, W.G.2
  • 137
    • 0031169742 scopus 로고    scopus 로고
    • Time-Reversible Dissipative Attractors in Three and Four Phase-Space Dimensions
    • H. A. Posch and Wm. G. Hoover, “Time-Reversible Dissipative Attractors in Three and Four Phase-Space Dimensions”, Physical Review E 55, 6803-6810 (1997).
    • (1997) Physical Review E , vol.55 , pp. 6803-6810
    • Posch, H.A.1    Hoover, W.G.2
  • 140
    • 0042100627 scopus 로고    scopus 로고
    • The Approach to Equilibrium and Molecular Dynamics
    • M. Mareschal, Editor (Plenum, New York, 1990)
    • I. Prigogine, E. Kestemont, and M. Mareschal, “The Approach to Equilibrium and Molecular Dynamics”, 233-240, in Microscopic Simulations of Complex Flows, M. Mareschal, Editor (Plenum, New York, 1990).
    • Microscopic Simulations of Complex Flows , pp. 233-240
    • Prigogine, I.1    Kestemont, E.2    Mareschal, M.3
  • 141
    • 0000152814 scopus 로고
    • Quantitative Comparison of Molecular Dynamics with Hydrodynamics in Rayleigh-Bénard Convec-tion
    • A. Puhl, M. Malek Mansour, and M. Mareschal, “Quantitative Comparison of Molecular Dynamics with Hydrodynamics in Rayleigh-Bénard Convec-tion”, Physical Review A 40, 1999-2012 (1989).
    • (1989) Physical Review A , vol.40 , pp. 1999-2012
    • Puhl, A.1    Mansour, M.M.2    Mareschal, M.3
  • 142
    • 0043102225 scopus 로고
    • Time-Dependent Patterns in Atomistically Simulated Convection
    • D. C. Rapaport, “Time-Dependent Patterns in Atomistically Simulated Convection”, Physical Review A 43, 7046-7048 (1991).
    • (1991) Physical Review A , vol.43 , pp. 7046-7048
    • Rapaport, D.C.1
  • 143
    • 33344469554 scopus 로고    scopus 로고
    • Hexagonal Convection Patterns in Atomistically Simulated Fluids
    • D. C. Rapaport, “Hexagonal Convection Patterns in Atomistically Simulated Fluids”, Physical Review E 73, 025301R (2006).
    • (2006) Physical Review E , vol.73
    • Rapaport, D.C.1
  • 144
    • 0003933104 scopus 로고
    • Princeton University Press, Princeton
    • D. Ruelle, Chance and Chaos (Princeton University Press, Princeton, 1991).
    • (1991) Chance and Chaos
    • Ruelle, D.1
  • 145
    • 0033246861 scopus 로고    scopus 로고
    • Smooth Dynamics and New Theoretical Ideas in Nonequilibrium Statistical Mechanics
    • D. Ruelle, “Smooth Dynamics and New Theoretical Ideas in Nonequilibrium Statistical Mechanics”, Journal of Statistical Physics 95, 393-468 (1999).
    • (1999) Journal of Statistical Physics , vol.95 , pp. 393-468
    • Ruelle, D.1
  • 146
    • 0001533546 scopus 로고    scopus 로고
    • Gaps and New Ideas in our Understanding of Nonequilibrium
    • D. Ruelle, “Gaps and New Ideas in our Understanding of Nonequilibrium”, Physica A 263, 540-544 (1999).
    • (1999) Physica A , vol.263 , pp. 540-544
    • Ruelle, D.1
  • 147
    • 0032188631 scopus 로고    scopus 로고
    • Molecular Dynamics Investigations on a Quantum System in a Thermostat
    • J. Schnack, “Molecular Dynamics Investigations on a Quantum System in a Thermostat”, Physica A 259, 49-58 (1998).
    • (1998) Physica A , vol.259 , pp. 49-58
    • Schnack, J.1
  • 149
    • 85128998522 scopus 로고
    • Science, Theory, and Man, Chapter III
    • Dover, New York
    • E. C. Schrödinger, Science, Theory, and Man, Chapter III, “Indeterminism in Physics” (Dover, New York, 1957).
    • (1957) Indeterminism in Physics
    • Schrödinger, E.C.1
  • 152
    • 84985490542 scopus 로고
    • On the Problem of Reviving the Ergodic Hypothesis of Boltzmann and Birkhoff
    • S. Smale, “On the Problem of Reviving the Ergodic Hypothesis of Boltzmann and Birkhoff”, Proceedings of the New York Academy of Sciences 357, 260-266 (1980).
    • (1980) Proceedings of the New York Academy of Sciences , vol.357 , pp. 260-266
    • Smale, S.1
  • 158
    • 4243720275 scopus 로고
    • Numerical Experiments on the Stochastic Behavior of a Lennard-Jones Gas System
    • S. D. Stoddard and J. Ford, “Numerical Experiments on the Stochastic Behavior of a Lennard-Jones Gas System”, Physical Review A 8, 1504-1512 (1973).
    • (1973) Physical Review A , vol.8 , pp. 1504-1512
    • Stoddard, S.D.1    Ford, J.2
  • 159
    • 0038740368 scopus 로고    scopus 로고
    • Transient Chaos; the Origin of Transport in Driven Systems
    • T. Tél, J. Vollmer, and W. Breymann, “Transient Chaos; the Origin of Transport in Driven Systems”, Europhysics Letters 35, 659-664 (1996).
    • (1996) Europhysics Letters , vol.35 , pp. 659-664
    • Tél, T.1    Vollmer, J.2    Breymann, W.3
  • 161
    • 0009142166 scopus 로고
    • The Superperiod of the Nonlinear Weighted String (Fermi-Pasta-Ulam) Problem
    • J. L. Tuck and M. T. Menzel, “The Superperiod of the Nonlinear Weighted String (Fermi-Pasta-Ulam) Problem”, Advances in Mathematics 9, 399-407 (1972).
    • (1972) Advances in Mathematics , vol.9 , pp. 399-407
    • Tuck, J.L.1    Menzel, M.T.2
  • 162
    • 85129071857 scopus 로고
    • Cover Illustration
    • August, The description on page 1322 credits J. G. Gibson, A. N. Goland, M. Milgram, and G. H. Vineyard with the underlying work
    • G. H. Vineyard, Cover Illustration, Journal of Applied Physics 30, (August, 1959). The description on page 1322 credits J. G. Gibson, A. N. Goland, M. Milgram, and G. H. Vineyard with the underlying work.
    • (1959) Journal of Applied Physics , vol.30
    • Vineyard, G.H.1
  • 163
    • 0001460819 scopus 로고    scopus 로고
    • Equivalence of Irreversible Entropy Production in Driven Systems: An Elementary Chaotic Map Approach
    • J. Vollmer, T. Tél, and W. Breymann, “Equivalence of Irreversible Entropy Production in Driven Systems: An Elementary Chaotic Map Approach”, Physical Review Letters 79, 2759-2762 (1997).
    • (1997) Physical Review Letters , vol.79 , pp. 2759-2762
    • Vollmer, J.1    Tél, T.2    Breymann, W.3
  • 165
    • 36849135353 scopus 로고
    • Preliminary Results from a Recalcu-lation of the Monte Carlo Equation of State of Hard Spheres
    • W. W. Wood and J. D. Jacobson, “Preliminary Results from a Recalcu-lation of the Monte Carlo Equation of State of Hard Spheres”, Journal of Chemical Physics 27, 1207-1208 (1957).
    • (1957) Journal of Chemical Physics , vol.27 , pp. 1207-1208
    • Wood, W.W.1    Jacobson, J.D.2
  • 167
    • 85129046922 scopus 로고    scopus 로고
    • On Some Additional Recollections, and the Absence Thereof, About the Early History of Computer Simulations in Statistical Mechanics
    • K. Binder and C. P. F. Ciccotti, Editors (Italian Physical Society, Bologna, 1996)
    • W. W. Wood, “On Some Additional Recollections, and the Absence Thereof, About the Early History of Computer Simulations in Statistical Mechanics”, 908-911 in Monte Carlo and Molecular Dynamics of Condensed Matter Systems, K. Binder and C. P. F. Ciccotti, Editors (Italian Physical Society, Bologna, 1996).
    • Monte Carlo and Molecular Dynamics of Condensed Matter Systems , pp. 908-911
    • Wood, W.W.1
  • 168
    • 85129064879 scopus 로고    scopus 로고
    • Time’s Quantum Arrow Revisited
    • K. Zetie, “Time’s Quantum Arrow Revisited”, Contemporary Physics 39, 393-395 (1998).
    • (1998) Contemporary Physics , vol.39 , pp. 393-395
    • Zetie, K.1
  • 170
    • 0002477138 scopus 로고
    • Time-Correlation Functions and Transport Coefficients in Statistical Mechanics
    • R. W. Zwanzig, “Time-Correlation Functions and Transport Coefficients in Statistical Mechanics”, Annual Reviews of Physical Chemistry 16, 67-102 (1965).
    • (1965) Annual Reviews of Physical Chemistry , vol.16 , pp. 67-102
    • Zwanzig, R.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.