메뉴 건너뛰기




Volumn 138, Issue 6, 2010, Pages 1067-1083

Nonequilibrium Thermodynamics of the First and Second Kind: Averages and Fluctuations

Author keywords

Fluctuation dissipation relations; GENERIC; Macroscopic fluctuation theory; Nonequilibrium entropy; Nonequilibrium steady state thermodynamics; Two generator bracket formalism

Indexed keywords


EID: 77949568400     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10955-010-9919-6     Document Type: Article
Times cited : (4)

References (56)
  • 1
    • 0034745515 scopus 로고    scopus 로고
    • Bracket formulation as a source for the development of dynamic equations in continuum mechanics
    • Beris, A. N.: Bracket formulation as a source for the development of dynamic equations in continuum mechanics. J. Non-Newtonian Fluid Mech. 96, 119-136 (2001).
    • (2001) J. Non-Newtonian Fluid Mech. , vol.96 , pp. 119-136
    • Beris, A.N.1
  • 3
    • 43649101551 scopus 로고    scopus 로고
    • Bracket formulation of nonequilibrium thermodynamics for systems interacting with the environment
    • Beris, A. N., Öttinger, H. C.: Bracket formulation of nonequilibrium thermodynamics for systems interacting with the environment. J. Non-Newtonian Fluid Mech. 152, 2-11 (2008).
    • (2008) J. Non-Newtonian Fluid Mech. , vol.152 , pp. 2-11
    • Beris, A.N.1    Öttinger, H.C.2
  • 7
    • 67650720543 scopus 로고    scopus 로고
    • Towards a nonequilibrium thermodynamics: A self-contained macroscopic description of driven diffusive systems
    • Bertini, L., De Sole, A., Gabrielli, D., Jona-Lasinio, G., Landim, C.: Towards a nonequilibrium thermodynamics: A self-contained macroscopic description of driven diffusive systems. J. Stat. Phys. 135, 857-872 (2009).
    • (2009) J. Stat. Phys. , vol.135 , pp. 857-872
    • Bertini, L.1    de sole, A.2    Gabrielli, D.3    Jona-Lasinio, G.4    Landim, C.5
  • 9
    • 0013501719 scopus 로고
    • The ergodic theory of axiom A flows
    • Bowen, R., Ruelle, D.: The ergodic theory of axiom A flows. Invent. Math. 29, 181-202 (1975).
    • (1975) Invent. Math. , vol.29 , pp. 181-202
    • Bowen, R.1    Ruelle, D.2
  • 12
    • 42749107675 scopus 로고    scopus 로고
    • Free energy functional for nonequilibrium systems: An exactly solvable case
    • 150601
    • Derrida, B., Lebowitz, J. L., Speer, E. R.: Free energy functional for nonequilibrium systems: An exactly solvable case. Phys. Rev. Lett. 87, 150601 (2001).
    • (2001) Phys. Rev. Lett. , vol.87
    • Derrida, B.1    Lebowitz, J.L.2    Speer, E.R.3
  • 13
    • 0037101006 scopus 로고    scopus 로고
    • Exact free energy functional for a driven open stationary nonequilibrium system
    • 030601
    • Derrida, B., Lebowitz, J. L., Speer, E. R.: Exact free energy functional for a driven open stationary nonequilibrium system. Phys. Rev. Lett. 89, 030601 (2002).
    • (2002) Phys. Rev. Lett. , vol.89
    • Derrida, B.1    Lebowitz, J.L.2    Speer, E.R.3
  • 14
    • 35949018382 scopus 로고
    • Ergodic theory of chaos and strange attractors
    • Eckmann, J. P., Ruelle, D.: Ergodic theory of chaos and strange attractors. Rev. Mod. Phys. 57, 617-656 (1985).
    • (1985) Rev. Mod. Phys. , vol.57 , pp. 617-656
    • Eckmann, J.P.1    Ruelle, D.2
  • 15
    • 0032261132 scopus 로고    scopus 로고
    • An analysis of single and double generator thermodynamic formalisms for the macroscopic description of complex fluids
    • Edwards, B. J.: An analysis of single and double generator thermodynamic formalisms for the macroscopic description of complex fluids. J. Non-Equilib. Thermodyn. 23, 301-333 (1998).
    • (1998) J. Non-Equilib. Thermodyn. , vol.23 , pp. 301-333
    • Edwards, B.J.1
  • 16
    • 0032285177 scopus 로고    scopus 로고
    • An analysis of single and double generator thermodynamic formalisms for complex fluids. II. The microscopic description
    • Edwards, B. J., Beris, A. N., Öttinger, H. C.: An analysis of single and double generator thermodynamic formalisms for complex fluids. II. The microscopic description. J. Non-Equilib. Thermodyn. 23, 334-350 (1998).
    • (1998) J. Non-Equilib. Thermodyn. , vol.23 , pp. 334-350
    • Edwards, B.J.1    Beris, A.N.2    Öttinger, H.C.3
  • 17
    • 4243360952 scopus 로고
    • Probability of second law violations in shearing steady states
    • Evans, D. J., Cohen, E. G. D., Morriss, G. P.: Probability of second law violations in shearing steady states. Phys. Rev. Lett. 71, 2401-2404 (1993).
    • (1993) Phys. Rev. Lett. , vol.71 , pp. 2401-2404
    • Evans, D.J.1    Cohen, E.G.D.2    Morriss, G.P.3
  • 18
    • 0001369553 scopus 로고    scopus 로고
    • Chaotic dynamics, fluctuations, nonequilibrium ensembles
    • Gallavotti, G.: Chaotic dynamics, fluctuations, nonequilibrium ensembles. Chaos 8, 384-392 (1998).
    • (1998) Chaos , vol.8 , pp. 384-392
    • Gallavotti, G.1
  • 19
    • 4244208748 scopus 로고
    • Dynamical ensembles in nonequilibrium statistical mechanics
    • Gallavotti, G., Cohen, E. G. D.: Dynamical ensembles in nonequilibrium statistical mechanics. Phys. Rev. Lett. 74, 2694-2697 (1995).
    • (1995) Phys. Rev. Lett. , vol.74 , pp. 2694-2697
    • Gallavotti, G.1    Cohen, E.G.D.2
  • 22
    • 0001582819 scopus 로고
    • Bracket formulation of dissipative fluid mechanics equations
    • Grmela, M.: Bracket formulation of dissipative fluid mechanics equations. Phys. Lett. A 102, 355-358 (1984).
    • (1984) Phys. Lett. A , vol.102 , pp. 355-358
    • Grmela, M.1
  • 23
    • 0000313595 scopus 로고    scopus 로고
    • Dynamics and thermodynamics of complex fluids. I. Development of a general formalism
    • Grmela, M., Öttinger, H. C.: Dynamics and thermodynamics of complex fluids. I. Development of a general formalism. Phys. Rev. E 56, 6620-6632 (1997).
    • (1997) Phys. Rev. E , vol.56 , pp. 6620-6632
    • Grmela, M.1    Öttinger, H.C.2
  • 25
    • 0000956053 scopus 로고
    • Dissipative Hamiltonian systems: A unifying principle
    • Kaufman, A. N.: Dissipative Hamiltonian systems: A unifying principle. Phys. Lett. A 100, 419-422 (1984).
    • (1984) Phys. Lett. A , vol.100 , pp. 419-422
    • Kaufman, A.N.1
  • 28
    • 0004056428 scopus 로고
    • 3Course of Theoretical Physics, Oxford: Butterworth-Heinemann
    • Landau, L. D., Lifshitz, E. M.: Statistical Physics, Part 1, 3rd edn. Course of Theoretical Physics, vol. 5. Butterworth-Heinemann, Oxford (1980).
    • (1980) Statistical Physics, Part 1 , vol.5
    • Landau, L.D.1    Lifshitz, E.M.2
  • 29
    • 0000447507 scopus 로고
    • A continued-fraction representation of the time-correlation functions
    • Mori, H.: A continued-fraction representation of the time-correlation functions. Prog. Theor. Phys. 34, 399-416 (1965).
    • (1965) Prog. Theor. Phys. , vol.34 , pp. 399-416
    • Mori, H.1
  • 30
    • 0000514837 scopus 로고
    • Transport, collective motion, and Brownian motion
    • Mori, H.: Transport, collective motion, and Brownian motion. Prog. Theor. Phys. 33, 423-455 (1965).
    • (1965) Prog. Theor. Phys. , vol.33 , pp. 423-455
    • Mori, H.1
  • 31
    • 0001644158 scopus 로고
    • Bracket formulation for irreversible classical fields
    • Morrison, P. J.: Bracket formulation for irreversible classical fields. Phys. Lett. A 100, 423-427 (1984).
    • (1984) Phys. Lett. A , vol.100 , pp. 423-427
    • Morrison, P.J.1
  • 34
    • 3543145522 scopus 로고    scopus 로고
    • On the physical origin of long-ranged fluctuations in fluids in thermal nonequilibrium states
    • Ortiz de Zárate, J. M., Sengers, J. V.: On the physical origin of long-ranged fluctuations in fluids in thermal nonequilibrium states. J. Stat. Phys. 115, 1341-1359 (2004).
    • (2004) J. Stat. Phys. , vol.115 , pp. 1341-1359
    • Ortiz de Zárate, J.M.1    Sengers, J.V.2
  • 37
    • 0001637562 scopus 로고    scopus 로고
    • General projection operator formalism for the dynamics and thermodynamics of complex fluids
    • Öttinger, H. C.: General projection operator formalism for the dynamics and thermodynamics of complex fluids. Phys. Rev. E 57, 1416-1420 (1998).
    • (1998) Phys. Rev. E , vol.57 , pp. 1416-1420
    • Öttinger, H.C.1
  • 38
    • 0034295953 scopus 로고    scopus 로고
    • Derivation of two-generator framework of nonequilibrium thermodynamics for quantum systems
    • Öttinger, H. C.: Derivation of two-generator framework of nonequilibrium thermodynamics for quantum systems. Phys. Rev. E 62, 4720-4724 (2000).
    • (2000) Phys. Rev. E , vol.62 , pp. 4720-4724
    • Öttinger, H.C.1
  • 40
    • 33645241440 scopus 로고    scopus 로고
    • Nonequilibrium thermodynamics for open systems
    • 036126
    • Öttinger, H. C.: Nonequilibrium thermodynamics for open systems. Phys. Rev. E 73, 036126 (2006).
    • (2006) Phys. Rev. E , vol.73
    • Öttinger, H.C.1
  • 41
    • 36649011973 scopus 로고    scopus 로고
    • Systematic coarse graining: 'Four lessons and a caveat' from nonequilibrium statistical mechanics
    • Öttinger, H. C.: Systematic coarse graining: 'Four lessons and a caveat' from nonequilibrium statistical mechanics. MRS Bull. 32, 936-940 (2007).
    • (2007) MRS Bull. , vol.32 , pp. 936-940
    • Öttinger, H.C.1
  • 42
    • 44149101408 scopus 로고    scopus 로고
    • Role of nonequilibrium entropy in Einstein's theory of gravitation
    • Öttinger, H. C.: Role of nonequilibrium entropy in Einstein's theory of gravitation. Physica A 387, 4560-4564 (2008).
    • (2008) Physica A , vol.387 , pp. 4560-4564
    • Öttinger, H.C.1
  • 43
    • 43649103970 scopus 로고    scopus 로고
    • Thermodynamic formulation of wall slip
    • Öttinger, H. C.: Thermodynamic formulation of wall slip. J. Non-Newtonian Fluid Mech. 152, 66-75 (2008).
    • (2008) J. Non-Newtonian Fluid Mech. , vol.152 , pp. 66-75
    • Öttinger, H.C.1
  • 44
    • 70249111825 scopus 로고    scopus 로고
    • Nonequilibrium thermodynamics of transport through moving interfaces with application to bubble growth and collapse
    • 021606
    • Öttinger, H. C., Bedeaux, D., Venerus, D. C.: Nonequilibrium thermodynamics of transport through moving interfaces with application to bubble growth and collapse. Phys. Rev. E 80, 021606 (2009).
    • (2009) Phys. Rev. E , vol.80
    • Öttinger, H.C.1    Bedeaux, D.2    Venerus, D.C.3
  • 45
    • 5344263088 scopus 로고    scopus 로고
    • Dynamics and thermodynamics of complex fluids. II. Illustrations of a general formalism
    • Öttinger, H. C., Grmela, M.: Dynamics and thermodynamics of complex fluids. II. Illustrations of a general formalism. Phys. Rev. E 56, 6633-6655 (1997).
    • (1997) Phys. Rev. E , vol.56 , pp. 6633-6655
    • Öttinger, H.C.1    Grmela, M.2
  • 46
    • 67349171698 scopus 로고    scopus 로고
    • Inconsistency of a dissipative contribution to the mass flux in hydrodynamics
    • 056303
    • Öttinger, H. C., Struchtrup, H., Liu, M.: Inconsistency of a dissipative contribution to the mass flux in hydrodynamics. Phys. Rev. E 80, 056303 (2009).
    • (2009) Phys. Rev. E , vol.80
    • Öttinger, H.C.1    Struchtrup, H.2    Liu, M.3
  • 49
    • 36049056143 scopus 로고
    • Equations of motion in nonequilibrium statistical mechanics
    • Robertson, B.: Equations of motion in nonequilibrium statistical mechanics. Phys. Rev. 144, 151-161 (1966).
    • (1966) Phys. Rev. , vol.144 , pp. 151-161
    • Robertson, B.1
  • 50
    • 0000809231 scopus 로고
    • A measure associated with axiom A attractors
    • Ruelle, D.: A measure associated with axiom A attractors. Am. J. Math. 98, 619-654 (1976).
    • (1976) Am. J. Math. , vol.98 , pp. 619-654
    • Ruelle, D.1
  • 51
    • 0033246861 scopus 로고    scopus 로고
    • Smooth dynamics and new theoretical ideas in nonequilibrium statistical mechanics
    • Ruelle, D.: Smooth dynamics and new theoretical ideas in nonequilibrium statistical mechanics. J. Stat. Phys. 95, 393-468 (1999).
    • (1999) J. Stat. Phys. , vol.95 , pp. 393-468
    • Ruelle, D.1
  • 52
    • 33750883870 scopus 로고    scopus 로고
    • Steady state thermodynamics
    • Sasa, S., Tasaki, H.: Steady state thermodynamics. J. Stat. Phys. 125, 125-227 (2006).
    • (2006) J. Stat. Phys. , vol.125 , pp. 125-227
    • Sasa, S.1    Tasaki, H.2
  • 53
    • 84956071330 scopus 로고
    • Gibbs measures in ergodic theory
    • Sinai, Y. G.: Gibbs measures in ergodic theory. Russ. Math. Surv. 27, 21-69 (1972).
    • (1972) Russ. Math. Surv. , vol.27 , pp. 21-69
    • Sinai, Y.G.1
  • 54
    • 33846477986 scopus 로고    scopus 로고
    • Onsager-Machlup theory for nonequilibrium steady states and fluctuation theorems
    • Taniguchi, T., Cohen, E. G. D.: Onsager-Machlup theory for nonequilibrium steady states and fluctuation theorems. J. Stat. Phys. 126, 1-41 (2007).
    • (2007) J. Stat. Phys. , vol.126 , pp. 1-41
    • Taniguchi, T.1    Cohen, E.G.D.2
  • 55
    • 0141450378 scopus 로고    scopus 로고
    • What are SRB measures, and which dynamical systems have them?
    • Young, L. S.: What are SRB measures, and which dynamical systems have them? J. Stat. Phys. 108, 733-754 (2002).
    • (2002) J. Stat. Phys. , vol.108 , pp. 733-754
    • Young, L.S.1
  • 56
    • 36149013316 scopus 로고
    • Memory effects in irreversible thermodynamics
    • Zwanzig, R.: Memory effects in irreversible thermodynamics. Phys. Rev. 124, 983-992 (1961).
    • (1961) Phys. Rev. , vol.124 , pp. 983-992
    • Zwanzig, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.