Effective Langevin equations leading to large deviation function of time-averaged velocity for a nonequilibrium Rayleigh piston
| Autor: | Naoko Nakagawa, Yohei Nakayama, Masato Itami, Shin-ichi Sasa |
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| Rok vydání: | 2020 |
| Předmět: |
Physics
Statistical Mechanics (cond-mat.stat-mech) Dynamics (mechanics) Non-equilibrium thermodynamics FOS: Physical sciences Mechanics 01 natural sciences Ideal gas 010305 fluids & plasmas law.invention Cylinder (engine) Piston symbols.namesake law 0103 physical sciences symbols Limit (mathematics) Rayleigh scattering 010306 general physics Deviation function Condensed Matter - Statistical Mechanics |
| DOI: | 10.48550/arxiv.2009.13785 |
| Popis: | We study fluctuating dynamics of a freely movable piston that separates an infinite cylinder into two regions filled with ideal gas particles at the same pressure but different temperatures. To investigate statistical properties of the time-averaged velocity of the piston in the long-time limit, we perturbatively calculate the large deviation function of the time-averaged velocity. Then, we derive an infinite number of effective Langevin equations yielding the same large deviation function as in the original model. Finally, we provide two possibilities for uniquely determining the form of the effective model. Comment: 9 pages |
| Databáze: | OpenAIRE |
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