Moreno, Camilo and Urbina, Juan-Diego (2019) Strong coupling and non-Markovian effects in the statistical notion of temperature. PHYSICAL REVIEW E, 99 (6): 062135. ISSN 2470-0045, 2470-0053
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We investigate the emergence of temperature T in the system-plus-reservoir paradigm starting from the fundamental microcanonical scenario at total fixed energy E where, contrary to the canonical approach, T = T (E) is not a control parameter but a derived auxiliary concept. As shown by Schwinger for the regime of weak coupling gamma between subsystems, T (E) emerges from the saddle-point analysis leading to the ensemble equivalence up to corrections O(1/root N) in the number of particles N that defines the thermodynamic limit. By extending these ideas for finite gamma, while keeping N -> infinity, we provide a consistent generalization of temperature T (E, gamma) in strongly coupled systems, and we illustrate its main features for the specific model of quantum Brownian motion where it leads to consistent microcanonical thermodynamics. Interestingly, while this T (E, gamma) is a monotonically increasing function of the total energy E, its dependence with gamma is a purely quantum effect notably visible near the ground-state energy and for large energies differs for Markovian and non-Markovian regimes.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | QUANTUM BROWNIAN-MOTION; ENTROPY; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics Physics > Institute of Theroretical Physics > Chair Professor Richter > Group Klaus Richter Physics > Institute of Theroretical Physics > Chair Professor Richter > Group Jaroslav Fabian |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 06 Apr 2020 07:41 |
| Last Modified: | 06 Apr 2020 07:41 |
| URI: | https://pred.uni-regensburg.de/id/eprint/26802 |
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