Comptes Rendus
no. 5-6
Lyapunov modes for a nonequilibrium system with a heat flux
[Modes de Lyapounov pour un système de non-équilibre avec un flux de chaleur]
Tooru Taniguchi1  ; Gary P. Morriss2
1 The Rockefeller University, 1230 York Avenue, New York, NY 10021, USA
2 School of Physics, University of New South Wales, Sydney, New South Wales 2052, Australia
Comptes Rendus. Physique, Work, dissipation, and fluctuations in nonequilibrium physics, Volume 8 (2007) no. 5-6, pp. 625-632.

Nous présentons les premières observations numériques de modes de Lyapounov (structure en mode des vecteurs de Lyapounov) dans un système maintenu dans un état stationnaire de non-équilibre. Les modes présentent des similitudes et des différences quand ils sont comparés avec les résultats pour les systèmes d'équilibre. La non conservation de l'énergie enlève un exposant nul et introduit un nouveau mode. Les modes transverses sont seulement faiblement altérés mais il y a des changements systématiques dans les modes longitudinaux et dépendant de l'impulsion.

We present the first numerical observation of Lyapunov modes (mode structure of Lyapunov vectors) in a system maintained in a nonequilibrium steady state. The modes show some similarities and some differences when compared with the results for equilibrium systems. The breaking of energy conservation removes a zero exponent and introduces a new mode. The transverse modes are only weakly altered but there are systematic changes to the longitudinal and momentum dependent modes.

Reçu le :
Publié le :
DOI : 10.1016/j.crhy.2007.05.006
Keywords: Lyapunov modes, Nonequilibrium system
Mots-clés : Modes de Lyapounov, Système de non-équilibre

Tooru Taniguchi 1 ; Gary P. Morriss 2

1 The Rockefeller University, 1230 York Avenue, New York, NY 10021, USA
2 School of Physics, University of New South Wales, Sydney, New South Wales 2052, Australia 
@article{CRPHYS_2007__8_5-6_625_0,
     author = {Tooru Taniguchi and Gary P. Morriss},
     title = {Lyapunov modes for a nonequilibrium system with a heat flux},
     journal = {Comptes Rendus. Physique},
     pages = {625--632},
     publisher = {Elsevier},
     volume = {8},
     number = {5-6},
     year = {2007},
     doi = {10.1016/j.crhy.2007.05.006},
     language = {en},
}
TY  - JOUR
AU  - Tooru Taniguchi
AU  - Gary P. Morriss
TI  - Lyapunov modes for a nonequilibrium system with a heat flux
JO  - Comptes Rendus. Physique
PY  - 2007
SP  - 625
EP  - 632
VL  - 8
IS  - 5-6
PB  - Elsevier
DO  - 10.1016/j.crhy.2007.05.006
LA  - en
ID  - CRPHYS_2007__8_5-6_625_0
ER  - 
%0 Journal Article
%A Tooru Taniguchi
%A Gary P. Morriss
%T Lyapunov modes for a nonequilibrium system with a heat flux
%J Comptes Rendus. Physique
%D 2007
%P 625-632
%V 8
%N 5-6
%I Elsevier
%R 10.1016/j.crhy.2007.05.006
%G en
%F CRPHYS_2007__8_5-6_625_0
Tooru Taniguchi; Gary P. Morriss. Lyapunov modes for a nonequilibrium system with a heat flux. Comptes Rendus. Physique, Work, dissipation, and fluctuations in nonequilibrium physics, Volume 8 (2007) no. 5-6, pp. 625-632. doi : 10.1016/j.crhy.2007.05.006. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2007.05.006/

[1] G. Benettin; L. Galgani; J.-M. Strelcyn Phys. Rev. A, 14 (1976), p. 2338

[2] G. Benettin; L. Galgani; A. Giorgilli; J.-M. Strelcyn Meccanica, 15 (1980), p. 9

[3] G. Benettin; L. Galgani; A. Giorgilli; J.-M. Strelcyn Meccanica, 15 (1980), p. 21

[4] I. Shimada; T. Nagashima Prog. Theor. Phys., 61 (1979), p. 1605

[5] U. Dressler Phys. Rev. A, 38 (1988), p. 2103

[6] D.J. Evans; E.G.D. Cohen; G.P. Morriss Phys. Rev. A, 42 (1990), p. 5990

[7] C.P. Dettmann; G.P. Morriss Phys. Rev. E, 53 (1996), p. R5545

[8] T. Taniguchi; G.P. Morriss Phys. Rev. E, 66 (2002), p. 066203

[9] P. Manneville, Lecture Note in Physics, vol. 230, Springer-Verlag, Berlin/New York, 1985, p. 319

[10] K. Kaneko Physica D, 23 (1986), p. 436

[11] R. Livi; S. Ruffo Nonlinear Dynamics (G. Turchetti, ed.), World Scientific, Singapore, 1989, p. 220

[12] M. Falcioni; U.M.B. Marconi; A. Vulpiani Phys. Rev. A, 44 (1991), p. 2263

[13] G. Giacomelli; A. Politi Europhys. Lett., 15 (1991), p. 387

[14] Lj. Milanović; H.A. Posch J. Mol. Liquids, 96–97 (2002), p. 221

[15] T. Taniguchi; G.P. Morriss Phys. Rev. E, 68 (2003), p. 046203

[16] T. Taniguchi; G.P. Morriss Phys. Rev. E, 73 (2006), p. 036208

[17] Ch. Dellago; H.A. Posch; W.G. Hoover Phys. Rev. E, 53 (1996), p. 1485

[18] H.A. Posch; R. Hirschl Hard Ball Systems and the Lorentz Gas (D. Szász, ed.), Springer-Verlag, Berlin, 2000, p. 279

[19] J.-P. Eckmann; O. Gat J. Stat. Phys., 98 (2000), p. 775

[20] T. Taniguchi; G.P. Morriss Phys. Rev. E, 65 (2002), p. 056202

[21] S. McNamara; M. Mareschal Phys. Rev. E, 64 (2001), p. 051103

[22] A.S. de Wijn; H. van Beijeren Phys. Rev. E, 70 (2004), p. 016207

[23] T. Taniguchi; C.P. Dettmann; G.P. Morriss J. Stat. Phys., 109 (2002), p. 747

[24] H.L. Yang; G. Radons Phys. Rev. E, 71 (2005), p. 036211

[25] T. Taniguchi; G.P. Morriss Phys. Rev. E, 68 (2003), p. 026218

[26] T. Taniguchi; G.P. Morriss Phys. Rev. E, 71 (2005), p. 016218

[27] J.-P. Eckmann; C. Forster; H.A. Posch; E. Zabey J. Stat. Phys., 118 (2005), p. 813

[28] T. Taniguchi; G.P. Morriss Phys. Rev. Lett., 94 (2005), p. 154101

[29] V.I. Arnold Mathematical Methods of Classical Mechanics, Springer-Verlag, Berlin, 1989

  • Gary P. Morriss Calculating the local nonequilibrium configurational entropy in quasi-one-dimensional heat conduction, Molecular Simulation, Volume 42 (2016) no. 6-7, p. 474 | DOI:10.1080/08927022.2015.1066502
  • Daniel P. Truant; Gary P. Morriss Backward and covariant Lyapunov vectors and exponents for hard-disk systems with a steady heat current, Physical Review E, Volume 90 (2014) no. 5 | DOI:10.1103/physreve.90.052907
  • Gary P Morriss; Daniel P Truant A review of the hydrodynamic Lyapunov modes of hard disk systems, Journal of Physics A: Mathematical and Theoretical, Volume 46 (2013) no. 25, p. 254010 | DOI:10.1088/1751-8113/46/25/254010
  • Gary Froyland; Thorsten Hüls; Gary P. Morriss; Thomas M. Watson Computing covariant Lyapunov vectors, Oseledets vectors, and dichotomy projectors: A comparative numerical study, Physica D: Nonlinear Phenomena, Volume 247 (2013) no. 1, p. 18 | DOI:10.1016/j.physd.2012.12.005
  • Gary P. Morriss; Daniel P. Truant Dissipation and entropy production in deterministic heat conduction of quasi-one-dimensional systems, Physical Review E, Volume 87 (2013) no. 6 | DOI:10.1103/physreve.87.062144
  • Gary P. Morriss; Daniel Truant Deterministic Thermal Reservoirs, Entropy, Volume 14 (2012) no. 6, p. 1011 | DOI:10.3390/e14061011
  • P V KUNHIKRISHNAN; A RAJAN NAMBIAR; K P SANTHOSH Sensitivity in the trajectory of long-range α-particle, Pramana, Volume 79 (2012) no. 3, p. 427 | DOI:10.1007/s12043-012-0332-3
  • Gary P Morriss; Daniel Truant Characterization of the Lyapunov modes for an equilibrium quasi-one-dimensional system, Journal of Statistical Mechanics: Theory and Experiment, Volume 2009 (2009) no. 02, p. P02029 | DOI:10.1088/1742-5468/2009/02/p02029
  • Chang Sub Kim; Gary P. Morriss Local entropy in quasi-one-dimensional heat transport, Physical Review E, Volume 80 (2009) no. 6 | DOI:10.1103/physreve.80.061137
  • Gary P. Morriss; Tony Chung; Christopher Angstmann Thermal Contact, Entropy, Volume 10 (2008) no. 4, p. 786 | DOI:10.3390/e10040786

Cité par 10 documents. Sources : Crossref

Commentaires - Politique

Ces articles pourraient vous intéresser

Fluctuation relation, fluctuation theorem, thermostats and entropy creation in nonequilibrium statistical physics

Giovanni Gallavotti

C. R. Phys (2007)