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 language | English |
|---|---|
| Article number | 042107 |
| Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |
| Volume | 87 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 2013 Apr 11 |
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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 journal › Article
}
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 -