Microscopic reversibility and heat for thermostatted systems

Takaaki Monnai

Research output: Contribution to journalArticle

Abstract

In order to test the universality of a symmetry for the trajectory obtained for Hamiltonian dynamics, we investigate the case of Nose-Hoover thermostatted dynamics with the use of a clear separation between the system and reservoir. Remarkably, the same symmetry as the Hamiltonian dynamics holds despite the presence of the dissipation, which causes the phase volume contraction. As a nontrivial application of the symmetry, we further show that the microscopic reversibility for open systems holds just as in the Hamiltonian dynamics. This bridges the first and second laws of thermodynamics under the proper definition of the work and heat.

Original languageEnglish
Article number042107
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume87
Issue number4
DOIs
Publication statusPublished - 2013 Apr 11

Fingerprint

Hamiltonian Dynamics
Reversibility
Heat
Symmetry
heat
Second Law of Thermodynamics
symmetry
Open Systems
Universality
Dissipation
Contraction
Trajectory
contraction
dissipation
trajectories
thermodynamics
causes

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Statistics and Probability

Cite this

Microscopic reversibility and heat for thermostatted systems. / Monnai, Takaaki.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 87, No. 4, 042107, 11.04.2013.

Research output: Contribution to journalArticle

@article{78ede6e1e08e47e7aa5ce19dc4cfe42c,
title = "Microscopic reversibility and heat for thermostatted systems",
abstract = "In order to test the universality of a symmetry for the trajectory obtained for Hamiltonian dynamics, we investigate the case of Nose-Hoover thermostatted dynamics with the use of a clear separation between the system and reservoir. Remarkably, the same symmetry as the Hamiltonian dynamics holds despite the presence of the dissipation, which causes the phase volume contraction. As a nontrivial application of the symmetry, we further show that the microscopic reversibility for open systems holds just as in the Hamiltonian dynamics. This bridges the first and second laws of thermodynamics under the proper definition of the work and heat.",
author = "Takaaki Monnai",
year = "2013",
month = "4",
day = "11",
doi = "10.1103/PhysRevE.87.042107",
language = "English",
volume = "87",
journal = "Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics",
issn = "1063-651X",
publisher = "American Physical Society",
number = "4",

}

TY - JOUR

T1 - Microscopic reversibility and heat for thermostatted systems

AU - Monnai, Takaaki

PY - 2013/4/11

Y1 - 2013/4/11

N2 - In order to test the universality of a symmetry for the trajectory obtained for Hamiltonian dynamics, we investigate the case of Nose-Hoover thermostatted dynamics with the use of a clear separation between the system and reservoir. Remarkably, the same symmetry as the Hamiltonian dynamics holds despite the presence of the dissipation, which causes the phase volume contraction. As a nontrivial application of the symmetry, we further show that the microscopic reversibility for open systems holds just as in the Hamiltonian dynamics. This bridges the first and second laws of thermodynamics under the proper definition of the work and heat.

AB - In order to test the universality of a symmetry for the trajectory obtained for Hamiltonian dynamics, we investigate the case of Nose-Hoover thermostatted dynamics with the use of a clear separation between the system and reservoir. Remarkably, the same symmetry as the Hamiltonian dynamics holds despite the presence of the dissipation, which causes the phase volume contraction. As a nontrivial application of the symmetry, we further show that the microscopic reversibility for open systems holds just as in the Hamiltonian dynamics. This bridges the first and second laws of thermodynamics under the proper definition of the work and heat.

UR - http://www.scopus.com/inward/record.url?scp=84876926720&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84876926720&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.87.042107

DO - 10.1103/PhysRevE.87.042107

M3 - Article

AN - SCOPUS:84876926720

VL - 87

JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

SN - 1063-651X

IS - 4

M1 - 042107

ER -