Microreversibility and nonequilibrium response theory in magnetic fields
| Autor: | Pierre Gaspard, Maximilien Barbier |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Statistics and Probability
Physics Class (set theory) Statistical Mechanics (cond-mat.stat-mech) FOS: Physical sciences General Physics and Astronomy Non-equilibrium thermodynamics Statistical and Nonlinear Physics Extension (predicate logic) Expression (computer science) 01 natural sciences 010305 fluids & plasmas Magnetic field symbols.namesake T-symmetry Modeling and Simulation 0103 physical sciences Euler's formula symbols Statistical physics 010306 general physics Cumulant Condensed Matter - Statistical Mechanics Mathematical Physics |
| Zdroj: | Journal of Physics A: Mathematical and Theoretical. 52:025003 |
| ISSN: | 1751-8121 1751-8113 |
| DOI: | 10.1088/1751-8121/aaf218 |
| Popis: | For open systems subjected to external magnetic fields, relations between the statistical cumulants of their fluctuating currents and their response coefficients are established at arbitrary orders in the deviations from equilibrium, as a consequence of microreversibility. These relations are systematically deduced from the extension of the fluctuation relation for this class of systems, and analyzed by using methods developed in [M. Barbier and P. Gaspard, J. Phys. A: Math. Theor. 51 (2018) 355001]. We unambiguously identify, among the statistical cumulants and their nonequilibrium responses, which of these quantities are independent and thus left unspecified by the fluctuation relation, i.e. by microreversibility. We also find the explicit expression of the dependent quantities in terms of the independent ones by means of coefficients of Euler polynomials. Comment: 30 pages |
| Databáze: | OpenAIRE |
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