메뉴 건너뛰기




Volumn 393, Issue 2, 2004, Pages 87-174

Effects of fluctuations on propagating fronts

Author keywords

[No Author keywords available]

Indexed keywords


EID: 1342308281     PISSN: 03701573     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physrep.2003.12.001     Document Type: Review
Times cited : (169)

References (125)
  • 1
    • 0000932293 scopus 로고
    • Vortex-front propagation in rotating Couette-Taylor flow
    • Ahlers G. Cannell D.S. Vortex-front propagation in rotating Couette-Taylor flow Phys. Rev. Lett. 50 1983 1583
    • (1983) Phys. Rev. Lett. , vol.50 , pp. 1583
    • Ahlers, G.1    Cannell, D.S.2
  • 3
    • 0000364015 scopus 로고    scopus 로고
    • Ballistic and diffusive corrections to front propagation in the presence of multiplicative noise
    • Armero J. Casademunt J. Ramírez-Piscina L. Sancho J.M. Ballistic and diffusive corrections to front propagation in the presence of multiplicative noise Phys. Rev. E 58 1998 5494
    • (1998) Phys. Rev. E , vol.58 , pp. 5494
    • Armero, J.1    Casademunt, J.2    Ramírez-Piscina, L.3    Sancho, J.M.4
  • 5
    • 0041595368 scopus 로고    scopus 로고
    • Fisher waves in the diffusion-limited coalescence process A + A ⇋ A
    • ben-Avraham D. Fisher waves in the diffusion-limited coalescence process A+A⇋ A Phys. Lett. A 247 1998 53
    • (1998) Phys. Lett. A , vol.247 , pp. 53
    • ben-Avraham, D.1
  • 6
    • 0043080040 scopus 로고    scopus 로고
    • Inhomogeneous steady states of diffusion-limited coalescence A + A ↔ A
    • ben-Avraham D. Inhomogeneous steady states of diffusion-limited coalescence A + A ↔ A Phys. Lett. A 249 1998 415
    • (1998) Phys. Lett. A , vol.249 , pp. 415
    • ben-Avraham, D.1
  • 7
    • 0000118333 scopus 로고    scopus 로고
    • Diffusion-limited coalescence, A + A ↔ A, with a trap
    • ben-Avraham D. Diffusion-limited coalescence, A + A ↔ A, with a trap Phys. Rev. E 58 1998 4351
    • (1998) Phys. Rev. E , vol.58 , pp. 4351
    • ben-Avraham, D.1
  • 8
    • 3543103550 scopus 로고    scopus 로고
    • Complete exact solution of diffusion-limited coalescence A + A → A
    • ben-Avraham D. Complete exact solution of diffusion-limited coalescence A + A → A Phys. Rev. Lett. 81 1998 4756
    • (1998) Phys. Rev. Lett. , vol.81 , pp. 4756
    • ben-Avraham, D.1
  • 9
    • 0000136524 scopus 로고
    • Statics and dynamics of a diffusion-limited reaction: Anomalous kinetics, non-equilibrium self-ordering and a dynamic transition
    • ben-Avraham D. Burschka M.A. Doering C.R. Statics and dynamics of a diffusion-limited reaction: anomalous kinetics, non-equilibrium self-ordering and a dynamic transition J. Stat. Phys. 60 1990 695
    • (1990) J. Stat. Phys. , vol.60 , pp. 695
    • ben-Avraham, D.1    Burschka, M.A.2    Doering, C.R.3
  • 11
    • 4243154483 scopus 로고
    • Linear stability analysis for bifurcations in spatially extended systems with fluctuating control parameter
    • Becker A. Kramer L. Linear stability analysis for bifurcations in spatially extended systems with fluctuating control parameter Phys. Rev. Lett. 73 1994 955
    • (1994) Phys. Rev. Lett. , vol.73 , pp. 955
    • Becker, A.1    Kramer, L.2
  • 13
    • 0035510114 scopus 로고    scopus 로고
    • Slow crossover to Kardar-Parisi-Zhang scaling
    • Blythe R.A. Evans M.R. Slow crossover to Kardar-Parisi-Zhang scaling Phys. Rev. E 64 2001 051101
    • (2001) Phys. Rev. E , vol.64 , pp. 051101
    • Blythe, R.A.1    Evans, M.R.2
  • 14
    • 0003175686 scopus 로고
    • Convergence of solutions of the Kolmogorov equation to travelling waves
    • Bramson M. Convergence of solutions of the Kolmogorov equation to travelling waves Mem. Am. Math. Soc. 44 285 1983
    • (1983) Mem. Am. Math. Soc. , vol.44 , Issue.285
    • Bramson, M.1
  • 16
    • 0001168274 scopus 로고
    • Mean-field theory for diffusion-limited aggregation in low dimensions
    • Brener E. Levine H. Tu Y. Mean-field theory for diffusion-limited aggregation in low dimensions Phys. Rev. Lett. 66 1991 1978
    • (1991) Phys. Rev. Lett. , vol.66 , pp. 1978
    • Brener, E.1    Levine, H.2    Tu, Y.3
  • 17
    • 43949151160 scopus 로고
    • Fluctuation effects on wave propagation in a reaction-diffusion process
    • Breuer H.P. Huber W. Petruccione F. Fluctuation effects on wave propagation in a reaction-diffusion process Physica D 73 1994 259
    • (1994) Physica D , vol.73 , pp. 259
    • Breuer, H.P.1    Huber, W.2    Petruccione, F.3
  • 18
    • 84956215985 scopus 로고
    • The macroscopic limit in a stochastic reaction-diffusion process
    • Breuer H.P. Huber W. Petruccione F. The macroscopic limit in a stochastic reaction-diffusion process Europhys. Lett. 30 1995 69
    • (1995) Europhys. Lett. , vol.30 , pp. 69
    • Breuer, H.P.1    Huber, W.2    Petruccione, F.3
  • 21
    • 0001425072 scopus 로고    scopus 로고
    • Shift in the velocity of a front due to a cutoff
    • Brunet E. Derrida B. Shift in the velocity of a front due to a cutoff Phys. Rev. E 56 1997 2597
    • (1997) Phys. Rev. E , vol.56 , pp. 2597
    • Brunet, E.1    Derrida, B.2
  • 22
    • 0033184875 scopus 로고    scopus 로고
    • Microscopic models of travelling wave equations
    • Brunet E. Derrida B. Microscopic models of travelling wave equations Comput. Phys. Commun. 122 1999 376
    • (1999) Comput. Phys. Commun. , vol.122 , pp. 376
    • Brunet, E.1    Derrida, B.2
  • 23
    • 0035532616 scopus 로고    scopus 로고
    • Effect of microscopic noise on front propagation
    • Brunet E. Derrida B. Effect of microscopic noise on front propagation J. Stat. Phys. 103 2001 269
    • (2001) J. Stat. Phys. , vol.103 , pp. 269
    • Brunet, E.1    Derrida, B.2
  • 24
    • 0000005970 scopus 로고
    • Renormalization group theory and variational calculations for propagating fronts
    • Chen L.-Y. Goldenfeld N. Oono Y. Renormalization group theory and variational calculations for propagating fronts Phys. Rev. E 49 1994 4502
    • (1994) Phys. Rev. E , vol.49 , pp. 4502
    • Chen, L.-Y.1    Goldenfeld, N.2    Oono, Y.3
  • 26
    • 0000460845 scopus 로고
    • Lyapunov exponents of large, sparse random matrices and the problem of directed polymers with random complex weights
    • Cook J. Derrida B. Lyapunov exponents of large, sparse random matrices and the problem of directed polymers with random complex weights J. Stat. Phys. 61 1990 961
    • (1990) J. Stat. Phys. , vol.61 , pp. 961
    • Cook, J.1    Derrida, B.2
  • 27
    • 0001435082 scopus 로고    scopus 로고
    • Absolute and convective instabilities, front velocities and global modes in nonlinear systems
    • Couairon A. Chomaz J.-M. Absolute and convective instabilities, front velocities and global modes in nonlinear systems Physica D 108 1997 236
    • (1997) Physica D , vol.108 , pp. 236
    • Couairon, A.1    Chomaz, J.-M.2
  • 28
    • 12044252828 scopus 로고
    • Pattern formation outside of equilibrium
    • Cross M.C. Hohenberg P.C. Pattern formation outside of equilibrium Rev. Mod. Phys. 65 1993 851
    • (1993) Rev. Mod. Phys. , vol.65 , pp. 851
    • Cross, M.C.1    Hohenberg, P.C.2
  • 29
    • 84957329085 scopus 로고
    • Mean field theory of directed polymers in a random medium
    • Derrida B. Mean field theory of directed polymers in a random medium Phys. Scr. T 38 1991 6
    • (1991) Phys. Scr. T , vol.38 , pp. 6
    • Derrida, B.1
  • 30
    • 0001044333 scopus 로고
    • Polymers on disordered trees, spin glasses and travelling waves
    • Derrida B. Spohn H. Polymers on disordered trees, spin glasses and travelling waves J. Stat. Phys. 51 1988 817
    • (1988) J. Stat. Phys. , vol.51 , pp. 817
    • Derrida, B.1    Spohn, H.2
  • 31
    • 0000612887 scopus 로고
    • Propagating pattern selection
    • Dee G. Langer J.S. Propagating pattern selection Phys. Rev. Lett. 50 1983 383
    • (1983) Phys. Rev. Lett. , vol.50 , pp. 383
    • Dee, G.1    Langer, J.S.2
  • 32
    • 0030285156 scopus 로고    scopus 로고
    • Velocity selection for propagating fronts in superconductors
    • Di Bartolo S.J. Dorsey A.T. Velocity selection for propagating fronts in superconductors Phys. Rev. Lett. 77 1996 4442
    • (1996) Phys. Rev. Lett. , vol.77 , pp. 4442
    • Di Bartolo, S.J.1    Dorsey, A.T.2
  • 33
    • 0001184257 scopus 로고
    • Microscopic spatial correlations induced by external noise in a reaction-diffusion system
    • Doering C.R. Microscopic spatial correlations induced by external noise in a reaction-diffusion system Physica A 188 1992 386
    • (1992) Physica A , vol.188 , pp. 386
    • Doering, C.R.1
  • 34
    • 0000378801 scopus 로고
    • Interparticle distribution functions and rate equations for diffusion-limited reactions
    • Doering C.R. ben-Avraham D. Interparticle distribution functions and rate equations for diffusion-limited reactions Phys. Rev. A 38 1988 3035
    • (1988) Phys. Rev. A , vol.38 , pp. 3035
    • Doering, C.R.1    ben-Avraham, D.2
  • 35
    • 4043150798 scopus 로고
    • Diffusion-limited coalescence in the presence of particle input: Exact results in one dimensions
    • Doering C.R. ben-Avraham D. Diffusion-limited coalescence in the presence of particle input: exact results in one dimensions Phys. Rev. Lett. 62 1989 2563
    • (1989) Phys. Rev. Lett. , vol.62 , pp. 2563
    • Doering, C.R.1    ben-Avraham, D.2
  • 36
    • 0001603636 scopus 로고
    • Fluctuations and correlations in a diffusion-reaction system: Exact hydrodynamics
    • Doering C.R. Burschka M.A. Horsthemke W. Fluctuations and correlations in a diffusion-reaction system: exact hydrodynamics J. Stat. Phys. 65 1991 953
    • (1991) J. Stat. Phys. , vol.65 , pp. 953
    • Doering, C.R.1    Burschka, M.A.2    Horsthemke, W.3
  • 37
    • 29144445554 scopus 로고    scopus 로고
    • Interacting particles, the stochastic Fisher-Kolmogorov-Petrovsky-Piscunov equation, and duality
    • Proceedings of the Third International Conference Unsolved Problems of Noise (UPoN) and Fluctuations in Physics, Biology and High Technology (2002)
    • C.R. Doering, C. Mueller, P. Smerecka, Interacting particles, the stochastic Fisher-Kolmogorov-Petrovsky-Piscunov equation, and duality, in: Proceedings of the Third International Conference Unsolved Problems of Noise (UPoN) and Fluctuations in Physics, Biology and High Technology (2002); AIP Conf. Proc. 665 (2003) 523.
    • (2003) AIP Conf. Proc. , vol.665 , pp. 523
    • Doering, C.R.1    Mueller, C.2    Smerecka, P.3
  • 38
    • 0037671479 scopus 로고    scopus 로고
    • Interacting particles, the stochastic Fisher-Kolmogorov-Petrovsky-Piscunov equation, and duality
    • Doering C.R. Mueller C. Smerecka P. Interacting particles, the stochastic Fisher-Kolmogorov-Petrovsky-Piscunov equation, and duality Physica A 325 2003 243
    • (2003) Physica A , vol.325 , pp. 243
    • Doering, C.R.1    Mueller, C.2    Smerecka, P.3
  • 39
    • 0000268267 scopus 로고    scopus 로고
    • Breakdown of the standard perturbation theory and moving boundary approximation
    • Ebert U. van Saarloos W. Breakdown of the standard perturbation theory and moving boundary approximation Phys. Rep. 337 2000 139
    • (2000) Phys. Rep. , vol.337 , pp. 139
    • Ebert, U.1    van Saarloos, W.2
  • 40
    • 0039149429 scopus 로고    scopus 로고
    • Front propagation into unstable states: Universal algebraic convergence towards uniformly pulled fronts
    • Ebert U. van Saarloos W. Front propagation into unstable states: universal algebraic convergence towards uniformly pulled fronts Physica D 146 2000 1
    • (2000) Physica D , vol.146 , pp. 1
    • Ebert, U.1    van Saarloos, W.2
  • 41
    • 4143143102 scopus 로고    scopus 로고
    • Propagation and structure of planar streamer fronts
    • Ebert U. van Saarloos W. Caroli C. Propagation and structure of planar streamer fronts Phys. Rev. E 55 1997 1530
    • (1997) Phys. Rev. E , vol.55 , pp. 1530
    • Ebert, U.1    van Saarloos, W.2    Caroli, C.3
  • 42
    • 0001884774 scopus 로고
    • The surface statistics of a granular aggregate
    • Edwards S. Wilkinson D. The surface statistics of a granular aggregate Proc. R. Soc. London A 381 1982 17
    • (1982) Proc. R. Soc. London A , vol.381 , pp. 17
    • Edwards, S.1    Wilkinson, D.2
  • 43
    • 0003299218 scopus 로고
    • Mathematical Aspects of Reacting and Diffusing Systems
    • Berlin: Springer
    • Fife P.C. Mathematical Aspects of Reacting and Diffusing Systems Lecture Notes in Biomathematics Vol. 28 1979 Springer Berlin
    • (1979) Lecture Notes in Biomathematics , vol.28
    • Fife, P.C.1
  • 44
    • 0000430897 scopus 로고
    • Vortex-front propagation in Rayleigh-Bénard convection
    • Fineberg J. Steinberg V. Vortex-front propagation in Rayleigh-Bénard convection Phys. Rev. Lett. 58 1987 1332
    • (1987) Phys. Rev. Lett. , vol.58 , pp. 1332
    • Fineberg, J.1    Steinberg, V.2
  • 45
    • 0000268135 scopus 로고
    • The wave of advance of advantageous genes
    • Fisher R.A. The wave of advance of advantageous genes Ann. Eugenics 7 1937 355
    • (1937) Ann. Eugenics , vol.7 , pp. 355
    • Fisher, R.A.1
  • 49
    • 0012575045 scopus 로고
    • Kinetic roughening, stochastic growth, directed polymers and all that
    • Halpin-Healy T.J. Zhang Y.C. Kinetic roughening, stochastic growth, directed polymers and all that Phys. Rep. 254 1995 215
    • (1995) Phys. Rep. , vol.254 , pp. 215
    • Halpin-Healy, T.J.1    Zhang, Y.C.2
  • 50
    • 0039842455 scopus 로고    scopus 로고
    • Sources, sinks, and wavenumber selection in coupled CGL equations and experimental implications for counter-propagating wave equations
    • van Hecke M. Storm C. van Saarloos W. Sources, sinks, and wavenumber selection in coupled CGL equations and experimental implications for counter-propagating wave equations Physica D 134 1999 1
    • (1999) Physica D , vol.134 , pp. 1
    • van Hecke, M.1    Storm, C.2    van Saarloos, W.3
  • 52
    • 0001513296 scopus 로고    scopus 로고
    • Diffusion-driven front instabilities in the chlorite-tetrathionate reaction
    • Horváth D. Tóth A. Diffusion-driven front instabilities in the chlorite-tetrathionate reaction J. Chem. Phys. 108 1998 1447
    • (1998) J. Chem. Phys. , vol.108 , pp. 1447
    • Horváth, D.1    Tóth, A.2
  • 56
    • 0007078043 scopus 로고
    • Computational study of propagating fronts in a lattice-gas model
    • Kerstein A.R. Computational study of propagating fronts in a lattice-gas model J. Stat. Phys. 45 1986 921
    • (1986) J. Stat. Phys. , vol.45 , pp. 921
    • Kerstein, A.R.1
  • 57
    • 0037862076 scopus 로고
    • A two-particle representation of front propagation in diffusion-reaction systems
    • Kerstein A.R. A two-particle representation of front propagation in diffusion-reaction systems J. Stat. Phys. 53 1988 703
    • (1988) J. Stat. Phys. , vol.53 , pp. 703
    • Kerstein, A.R.1
  • 58
    • 0001371280 scopus 로고    scopus 로고
    • Front propagation: Precursors, cutoffs, and structural stability
    • Kessler D.A. Ner Z. Sander L.M. Front propagation: precursors, cutoffs, and structural stability Phys. Rev. E. 58 1998 107
    • (1998) Phys. Rev. E. , vol.58 , pp. 107
    • Kessler, D.A.1    Ner, Z.2    Sander, L.M.3
  • 59
    • 0000440983 scopus 로고    scopus 로고
    • Universal scaling of wave propagation failure in arrays of coupled nonlinear cells
    • Kladko K. Mitkov I. Bishop A.R. Universal scaling of wave propagation failure in arrays of coupled nonlinear cells Phys. Rev. Lett. 84 2000 4505
    • (2000) Phys. Rev. Lett. , vol.84 , pp. 4505
    • Kladko, K.1    Mitkov, I.2    Bishop, A.R.3
  • 60
    • 12044250363 scopus 로고
    • Biological pattern formation: From basic mechanisms to complex structures
    • Koch A.J. Meinhardt H. Biological pattern formation: from basic mechanisms to complex structures Rev. Mod. Phys. 66 1994 1481
    • (1994) Rev. Mod. Phys. , vol.66 , pp. 1481
    • Koch, A.J.1    Meinhardt, H.2
  • 61
    • 0002722044 scopus 로고
    • Study of the diffusion equation with growth of the quantity of matter and its application to a biology problem
    • Kolmogorov A. Petrovsky I. Piscounov N. Study of the diffusion equation with growth of the quantity of matter and its application to a biology problem Bull. Univ. Moscou, Ser. int., Section A 1 1937 1
    • (1937) Bull. Univ. Moscou, Ser. Int., Section A , vol.1 , pp. 1
    • Kolmogorov, A.1    Petrovsky, I.2    Piscounov, N.3
  • 62
    • 0031097281 scopus 로고    scopus 로고
    • Origin of scale invariance in growth processes
    • Krug J. Origin of scale invariance in growth processes Adv. Phys. 46 1997 139
    • (1997) Adv. Phys. , vol.46 , pp. 139
    • Krug, J.1
  • 63
    • 0003067890 scopus 로고
    • Kinetic roughening of growing surfaces
    • C. Godrèche (Ed.), Cambridge: Cambridge University Press
    • Krug J. Spohn H. Kinetic roughening of growing surfaces In: Godrèche C. (Ed.), Solids Far from Equilibrium 1992 Cambridge University Press Cambridge
    • (1992) Solids Far from Equilibrium
    • Krug, J.1    Spohn, H.2
  • 64
    • 0012245445 scopus 로고
    • Columnar growth in oblique incidence ballistic deposition: Faceting, noise reduction, and mean-field theory
    • Krug J. Meakin P. Columnar growth in oblique incidence ballistic deposition: faceting, noise reduction, and mean-field theory Phys. Rev. A 43 1991 900
    • (1991) Phys. Rev. A , vol.43 , pp. 900
    • Krug, J.1    Meakin, P.2
  • 65
    • 0000375409 scopus 로고
    • Mode selection in a dendritelike nonlinear system
    • Langer J.S. Müller-Krumbhaar H. Mode selection in a dendritelike nonlinear system Phys. Rev. A 27 1983 499
    • (1983) Phys. Rev. A , vol.27 , pp. 499
    • Langer, J.S.1    Müller-Krumbhaar, H.2
  • 66
    • 0001284650 scopus 로고
    • Scaling of reaction zones in the A + B → 0 diffusion-limited reaction
    • Lee B.P. Scaling of reaction zones in the A + B → 0 diffusion-limited reaction Phys. Rev. E 50 1994 R3287
    • (1994) Phys. Rev. E , vol.50
    • Lee, B.P.1
  • 67
    • 36149034024 scopus 로고
    • Renormalization group calculation for the reaction kA → ∅
    • Lee B.P. Renormalization group calculation for the reaction kA → ∅ J. Phys. A 27 1994 2633
    • (1994) J. Phys. A , vol.27 , pp. 2633
    • Lee, B.P.1
  • 68
    • 0034287937 scopus 로고    scopus 로고
    • Selection of an attractor in a continuum of stable solutions: Descriptions of a wave front at different scales
    • Lemarchand A. Selection of an attractor in a continuum of stable solutions: descriptions of a wave front at different scales J. Stat. Phys. 101 2000 579
    • (2000) J. Stat. Phys. , vol.101 , pp. 579
    • Lemarchand, A.1
  • 69
    • 0000372487 scopus 로고
    • Langevin approach to a chemical wave front: Selection of the propagation velocity in the presence of internal noise
    • Lemarchand A. Lesne A. Mareschal M. Langevin approach to a chemical wave front: selection of the propagation velocity in the presence of internal noise Phys. Rev. E 51 1995 4457
    • (1995) Phys. Rev. E , vol.51 , pp. 4457
    • Lemarchand, A.1    Lesne, A.2    Mareschal, M.3
  • 71
    • 0001287096 scopus 로고    scopus 로고
    • Perturbation of a local equilibrium by a chemical wave front
    • Lemarchand A. Nowakowski B. Perturbation of a local equilibrium by a chemical wave front J. Chem. Phys. 109 1998 7028
    • (1998) J. Chem. Phys. , vol.109 , pp. 7028
    • Lemarchand, A.1    Nowakowski, B.2
  • 72
    • 0000531568 scopus 로고    scopus 로고
    • Different description levels of chemical wave front propagation speed selection
    • Lemarchand A. Nowakowski B. Different description levels of chemical wave front propagation speed selection J. Chem. Phys. 111 1999 6190
    • (1999) J. Chem. Phys. , vol.111 , pp. 6190
    • Lemarchand, A.1    Nowakowski, B.2
  • 73
    • 0001577504 scopus 로고    scopus 로고
    • Front propagation and local ordering in one-dimensional irreversible autocatalytic reactions
    • Mai J. Sokolov I.M. Blumen A. Front propagation and local ordering in one-dimensional irreversible autocatalytic reactions Phys. Rev. Lett. 77 1996 4462
    • (1996) Phys. Rev. Lett. , vol.77 , pp. 4462
    • Mai, J.1    Sokolov, I.M.2    Blumen, A.3
  • 74
    • 0032186995 scopus 로고    scopus 로고
    • Discreteness effects on the front propagation in the A + B → 2A reaction in 3 dimensions
    • Mai J. Sokolov I.M. Blumen A. Discreteness effects on the front propagation in the A + B → 2A reaction in 3 dimensions Europhys. Lett. 44 1998 7
    • (1998) Europhys. Lett. , vol.44 , pp. 7
    • Mai, J.1    Sokolov, I.M.2    Blumen, A.3
  • 75
    • 0034227237 scopus 로고    scopus 로고
    • Front propagation in one-dimensional autocatalytic reactions: The breakdown of classical picture at small particle concentrations
    • Mai J. Sokolov I.M. Blumen A. Front propagation in one-dimensional autocatalytic reactions: the breakdown of classical picture at small particle concentrations Phys. Rev. E 62 2000 141
    • (2000) Phys. Rev. E , vol.62 , pp. 141
    • Mai, J.1    Sokolov, I.M.2    Blumen, A.3
  • 76
    • 5544325505 scopus 로고    scopus 로고
    • Front form and velocity in a one-dimensional autocatalytic A + B → 2A reaction
    • Mai J. Sokolov I.M. Kuzovkov V. Blumen A. Front form and velocity in a one-dimensional autocatalytic A+B→ 2A reaction Phys. Rev. E 56 1996 4130
    • (1996) Phys. Rev. E , vol.56 , pp. 4130
    • Mai, J.1    Sokolov, I.M.2    Kuzovkov, V.3    Blumen, A.4
  • 78
    • 0034711192 scopus 로고    scopus 로고
    • Critical exponents of the KPZ equation via multi-surface coding numerical simulations
    • Marinari E. Pagnani A. Parisi G. Critical exponents of the KPZ equation via multi-surface coding numerical simulations J. Phys. A 33 2000 8181
    • (2000) J. Phys. A , vol.33 , pp. 8181
    • Marinari, E.1    Pagnani, A.2    Parisi, G.3
  • 79
    • 0001883519 scopus 로고
    • Pattern formation in excitable media
    • Meron E. Pattern formation in excitable media Phys. Rep. 218 1992 1
    • (1992) Phys. Rep. , vol.218 , pp. 1
    • Meron, E.1
  • 81
    • 0035803323 scopus 로고    scopus 로고
    • Internal fluctuations effects on Fisher waves
    • Moro E. Internal fluctuations effects on Fisher waves Phys. Rev. Lett. 87 2001 238303
    • (2001) Phys. Rev. Lett. , vol.87 , pp. 238303
    • Moro, E.1
  • 82
    • 42749101188 scopus 로고    scopus 로고
    • Emergence of pulled fronts in fermionic microscopic particle models
    • Moro E. Emergence of pulled fronts in fermionic microscopic particle models Phys. Rev. E 68 2003 025102
    • (2003) Phys. Rev. E , vol.68 , pp. 025102
    • Moro, E.1
  • 84
    • 0038101626 scopus 로고
    • Random travelling waves for the KPP equation with noise
    • Mueller C. Sowers R.B. Random travelling waves for the KPP equation with noise J. Funct. Anal. 128 1995 439
    • (1995) J. Funct. Anal. , vol.128 , pp. 439
    • Mueller, C.1    Sowers, R.B.2
  • 86
    • 0000667247 scopus 로고
    • Functionals and the random-force method in turbulence theory
    • Novikov E.A. Functionals and the random-force method in turbulence theory JETP 20 1965 1290
    • (1965) JETP , vol.20 , pp. 1290
    • Novikov, E.A.1
  • 87
    • 1342274186 scopus 로고    scopus 로고
    • Surprising aspects of fluctuating pulled fronts
    • Proceedings of the Third International Conference Unsolved Problems of Noise (UPoN) and Fluctuations in Physics, Biology and High Technology 2002
    • D. Panja, Surprising aspects of fluctuating pulled fronts, in: Proceedings of the Third International Conference Unsolved Problems of Noise (UPoN) and Fluctuations in Physics, Biology and High Technology 2002; AIP Conf. Proc. 661 (2003) 539.
    • (2003) AIP Conf. Proc. , vol.661 , pp. 539
    • Panja, D.1
  • 88
    • 41349097708 scopus 로고    scopus 로고
    • Fluctuating pulled fronts: The origin and the effects of a finite particle cutoff
    • Panja D. van Saarloos W. Fluctuating pulled fronts: the origin and the effects of a finite particle cutoff Phys. Rev. E 66 2002 036206
    • (2002) Phys. Rev. E , vol.66 , pp. 036206
    • Panja, D.1    van Saarloos, W.2
  • 89
    • 41349104041 scopus 로고    scopus 로고
    • Fronts with a growth cutoff but speed higher than the linear spreading speed
    • Panja D. van Saarloos W. Fronts with a growth cutoff but speed higher than the linear spreading speed Phys. Rev. E 66 2002 015206R
    • (2002) Phys. Rev. E , vol.66
    • Panja, D.1    van Saarloos, W.2
  • 90
    • 41349114224 scopus 로고    scopus 로고
    • The weakly pushed nature of "Pulled" fronts with a cutoff
    • Panja D. van Saarloos W. The weakly pushed nature of "Pulled" fronts with a cutoff Phys. Rev. E 65 2002 057202
    • (2002) Phys. Rev. E , vol.65 , pp. 057202
    • Panja, D.1    van Saarloos, W.2
  • 91
    • 0037865840 scopus 로고    scopus 로고
    • Front propagation and diffusion in the A ↔ A + A hard-core reaction on a chain
    • Panja D. Tripathy G. van Saarloos W. Front propagation and diffusion in the A ↔ A + A hard-core reaction on a chain Phys. Rev. E 67 2003 046206
    • (2003) Phys. Rev. E , vol.67 , pp. 046206
    • Panja, D.1    Tripathy, G.2    van Saarloos, W.3
  • 92
    • 1342316411 scopus 로고    scopus 로고
    • Asymptotic scaling of the diffusion coefficient of fluctuating "pulled" fronts
    • D. Panja, Asymptotic scaling of the diffusion coefficient of fluctuating "pulled" fronts, Phys. Rev. E 68 (2003) 065202(R).
    • (2003) Phys. Rev. E , vol.68
    • Panja, D.1
  • 93
  • 95
    • 0004608843 scopus 로고
    • On the stochastic correlations in a randomly perturbed chemical front
    • de Pasquale F. Gorecki J. Popielawski J. On the stochastic correlations in a randomly perturbed chemical front J. Phys. A 25 1992 433
    • (1992) J. Phys. A , vol.25 , pp. 433
    • de Pasquale, F.1    Gorecki, J.2    Popielawski, J.3
  • 96
    • 0001215656 scopus 로고    scopus 로고
    • Interfacial velocity corrections due to multiplicative noise
    • Pechenik L. Levine H. Interfacial velocity corrections due to multiplicative noise Phys. Rev. E 59 1999 3893
    • (1999) Phys. Rev. E , vol.59 , pp. 3893
    • Pechenik, L.1    Levine, H.2
  • 98
    • 45849154803 scopus 로고    scopus 로고
    • Diffusion coefficient of propagating fronts with multiplicative noise
    • Rocco A. Casademunt J. Ebert U. van Saarloos W. Diffusion coefficient of propagating fronts with multiplicative noise Phys. Rev. E 65 2002 012102
    • (2002) Phys. Rev. E , vol.65 , pp. 012102
    • Rocco, A.1    Casademunt, J.2    Ebert, U.3    van Saarloos, W.4
  • 99
    • 0034228944 scopus 로고    scopus 로고
    • Subdiffusive fluctuations of "pulled" fronts with multiplicative noise
    • Rocco A. Ebert U. van Saarloos W. Subdiffusive fluctuations of "pulled" fronts with multiplicative noise Phys. Rev. E 62 2000 R13
    • (2000) Phys. Rev. E , vol.62
    • Rocco, A.1    Ebert, U.2    van Saarloos, W.3
  • 100
    • 45849155388 scopus 로고    scopus 로고
    • Kinematic reduction of reaction-diffusion fronts with multiplicative noise: Derivation of stochastic sharp-interface equations
    • Rocco A. Ramírez-Piscina L. Casademunt J. Kinematic reduction of reaction-diffusion fronts with multiplicative noise: derivation of stochastic sharp-interface equations Phys. Rev. E 65 2002 056116
    • (2002) Phys. Rev. E , vol.65 , pp. 056116
    • Rocco, A.1    Ramírez-Piscina, L.2    Casademunt, J.3
  • 101
    • 6444221633 scopus 로고
    • Front propagation into unstable states. II. Linear versus nonlinear marginal stability and rate of convergence
    • van Saarloos W. Front propagation into unstable states. II. Linear versus nonlinear marginal stability and rate of convergence Phys. Rev. A 39 1989 6367
    • (1989) Phys. Rev. A , vol.39 , pp. 6367
    • van Saarloos, W.1
  • 102
    • 0002664991 scopus 로고    scopus 로고
    • Three basic issues concerning interface dynamics in nonequilibrium pattern formation
    • van Saarloos W. Three basic issues concerning interface dynamics in nonequilibrium pattern formation Phys. Rep. 301 1998 9
    • (1998) Phys. Rep. , vol.301 , pp. 9
    • van Saarloos, W.1
  • 103
    • 0142119503 scopus 로고    scopus 로고
    • Front propagation into unstable states
    • van Saarloos W. Front propagation into unstable states Phys. Rep. 386 2003 29
    • (2003) Phys. Rep. , vol.386 , pp. 29
    • van Saarloos, W.1
  • 104
    • 0000855601 scopus 로고
    • Front propagation into unstable and metastable states in smectic-C* liquid crystals: Linear and nonlinear marginal stability analysis
    • van Saarloos W. van Hecke M. Holyst R. Front propagation into unstable and metastable states in smectic-C* liquid crystals: linear and nonlinear marginal stability analysis Phys. Rev. E 52 1995 1773
    • (1995) Phys. Rev. E , vol.52 , pp. 1773
    • van Saarloos, W.1    van Hecke, M.2    Holyst, R.3
  • 105
    • 0040828744 scopus 로고
    • On the kinetics of partially conserved order parameters: A possible mechanism for pattern formation
    • Salje E.K.H. On the kinetics of partially conserved order parameters: a possible mechanism for pattern formation J. Phys.: Condens. Matter 5 1992 4775
    • (1992) J. Phys.: Condens. Matter , vol.5 , pp. 4775
    • Salje, E.K.H.1
  • 107
    • 84983701983 scopus 로고    scopus 로고
    • Front dynamics in the presence of spatiotemporal structured noise
    • Santos M.-A. Sancho J.M. Front dynamics in the presence of spatiotemporal structured noise Phys. Rev. E 64 2001 016129
    • (2001) Phys. Rev. E , vol.64 , pp. 016129
    • Santos, M.-A.1    Sancho, J.M.2
  • 108
    • 84981886894 scopus 로고
    • Effect of fluctuation on plane front propagation in bistable nonequilibrium systems
    • Schimansky-Geier L. Mikhailov A.S. Ebeling W. Effect of fluctuation on plane front propagation in bistable nonequilibrium systems Ann. Phys. (Leipzig) 40 1983 277
    • (1983) Ann. Phys. (Leipzig) , vol.40 , pp. 277
    • Schimansky-Geier, L.1    Mikhailov, A.S.2    Ebeling, W.3
  • 109
    • 0004601961 scopus 로고
    • Kink propagation induced by multiplicative noise
    • Schimansky-Geier L. Zülicke Ch. Kink propagation induced by multiplicative noise Z. Phys. 82 1991 157
    • (1991) Z. Phys. , vol.82 , pp. 157
    • Schimansky-Geier, L.1    Zülicke, Ch.2
  • 110
    • 17644374944 scopus 로고
    • Small roughness fluctuations in the layer between two phases
    • Schlögl F. Berry R.S. Small roughness fluctuations in the layer between two phases Phys. Rev. A 21 1980 2078
    • (1980) Phys. Rev. A , vol.21 , pp. 2078
    • Schlögl, F.1    Berry, R.S.2
  • 111
    • 0001553372 scopus 로고
    • Fluctuations in the interface between two phases
    • Schlögl F. Escher C. Berry R.S. Fluctuations in the interface between two phases Phys. Rev. A 27 1983 2698
    • (1983) Phys. Rev. A , vol.27 , pp. 2698
    • Schlögl, F.1    Escher, C.2    Berry, R.S.3
  • 112
    • 36149031095 scopus 로고
    • Error propagation in extended chaotic systems
    • Torcini A. Grassberger P. Politi A. J. Phys. A Error propagation in extended chaotic systems 27 1995 4533
    • (1995) J. Phys. A , vol.27 , pp. 4533
    • Torcini, A.1    Grassberger, P.2    Politi, A.3
  • 113
    • 0041032912 scopus 로고
    • Absolute instabilities and self-sustained oscillations in the wake of circular cylinders
    • Triantafyllou G.S. Kupfer K. Bers A. Absolute instabilities and self-sustained oscillations in the wake of circular cylinders Phys. Rev. Lett. 59 1987 1914
    • (1987) Phys. Rev. Lett. , vol.59 , pp. 1914
    • Triantafyllou, G.S.1    Kupfer, K.2    Bers, A.3
  • 115
    • 0034293895 scopus 로고    scopus 로고
    • Fluctuation and relaxation properties of pulled fronts: A scenario for nonstandard Kardar-Parisi-Zhang scaling
    • Tripathy G. van Saarloos W. Fluctuation and relaxation properties of pulled fronts: a scenario for nonstandard Kardar-Parisi-Zhang scaling Phys. Rev. Lett. 85 2000 3556
    • (2000) Phys. Rev. Lett. , vol.85 , pp. 3556
    • Tripathy, G.1    van Saarloos, W.2
  • 116
    • 0001584254 scopus 로고
    • Chaotic domain structure in rotating convection
    • Tu Y. Cross M.C. Chaotic domain structure in rotating convection Phys. Rev. Lett. 69 1992 2515
    • (1992) Phys. Rev. Lett. , vol.69 , pp. 2515
    • Tu, Y.1    Cross, M.C.2
  • 118
    • 0034349273 scopus 로고    scopus 로고
    • Velocity of front propagation in 1-dimensional autocatalytic reactions
    • Warren C.P. Somfai E. Sander L.M. Velocity of front propagation in 1-dimensional autocatalytic reactions Braz. J. Phys. 30 2000 157
    • (2000) Braz. J. Phys. , vol.30 , pp. 157
    • Warren, C.P.1    Somfai, E.2    Sander, L.M.3
  • 121
    • 1342295308 scopus 로고    scopus 로고
    • Ph.D. Thesis, University of Utrecht, The Netherlands
    • R. van Zon, Ph.D. Thesis, University of Utrecht, The Netherlands, 2000.
    • (2000)
    • van Zon, R.1
  • 122
    • 0036393128 scopus 로고    scopus 로고
    • Front propagation techniques to calculate the largest Lyapunov exponent of dilute hard disk gases
    • van Zon R. van Beijeren H. Front propagation techniques to calculate the largest Lyapunov exponent of dilute hard disk gases J. Stat. Phys. 109 2002 641
    • (2002) J. Stat. Phys. , vol.109 , pp. 641
    • van Zon, R.1    van Beijeren, H.2
  • 123
    • 0001685304 scopus 로고    scopus 로고
    • Largest Lyapunov exponent for many particle systems at low densities
    • van Zon R. van Beijeren H. Dellago Ch. Largest Lyapunov exponent for many particle systems at low densities Phys. Rev. Lett. 80 1998 2035
    • (1998) Phys. Rev. Lett. , vol.80 , pp. 2035
    • van Zon, R.1    van Beijeren, H.2    Dellago, Ch.3
  • 125
    • 0141508088 scopus 로고    scopus 로고
    • Kinetic theory estimates for the Kolmogorov-Sinai entropy and the largest Lyapunov exponents for dilute, hard-ball gases and for dilute, random Lorentz gases
    • D. Szasz (Ed.), Berlin: Springer
    • van Zon R. van Beijeren H. Dorfman J.R. Kinetic theory estimates for the Kolmogorov-Sinai entropy and the largest Lyapunov exponents for dilute, hard-ball gases and for dilute, random Lorentz gases In: Szasz D. (Ed.), "Hard Ball Systems" Mathematical Encyclopaedia of Mathematical Sciences Vol. 101 2000 Springer Berlin
    • (2000) "Hard Ball Systems" , vol.101
    • van Zon, R.1    van Beijeren, H.2    Dorfman, J.R.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.