Time-dependence of the effective temperatures of a two-dimensional Brownian gyrator with cold and hot components
| Autor: | Lamberto Rondoni, Victor Dotsenko, Sara Cerasoli, Gleb Oshanin |
|---|---|
| Přispěvatelé: | Laboratoire de Physique Théorique de la Matière Condensée (LPTMC), Université Pierre et Marie Curie - Paris 6 (UPMC)-Centre National de la Recherche Scientifique (CNRS), Centre National de la Recherche Scientifique (CNRS)-Sorbonne Université (SU), Politecnico di Torino = Polytechnic of Turin (Polito) |
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Statistics and Probability
effective temperatures media_common.quotation_subject General Physics and Astronomy FOS: Physical sciences molecularmotors 01 natural sciences Asymmetry 010305 fluids & plasmas asymmetry function Brownian gyrator stochastic processes Gyrator 0103 physical sciences Limit (mathematics) [MATH]Mathematics [math] 010306 general physics Brownian motion Condensed Matter - Statistical Mechanics Mathematical Physics ComputingMilieux_MISCELLANEOUS media_common Physics [PHYS]Physics [physics] Statistical Mechanics (cond-mat.stat-mech) Stochastic process Component (thermodynamics) Mathematical analysis Statistical and Nonlinear Physics Function (mathematics) Mathematical Physics (math-ph) Modeling and Simulation Constant (mathematics) |
| Zdroj: | Journal of Physics A: Mathematical and Theoretical Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2021, 54 (10), pp.105002. ⟨10.1088/1751-8121/abe0d6⟩ |
| ISSN: | 1751-8113 1751-8121 |
| DOI: | 10.1088/1751-8121/abe0d6⟩ |
| Popis: | We consider a model of a two-dimensional molecular machine - called Brownian gyrator - that consists of two coordinates coupled to each other and to separate heat baths at temperatures respectively $T_x$ and $T_y$. We consider the limit in which one component is passive, because its bath is "cold", $T_x \to 0$, while the second is in contact with a "hot" bath, $T_y > 0$, hence it entrains the passive component in a stochastic motion. We derive an asymmetry relation as a function of time, from which time dependent effective temperatures can be obtained for both components. We find that the effective temperature of the passive element tends to a constant value, which is a fraction of $T_y$, while the effective temperature of the driving component grows without bounds, in fact exponentially in time, as the steady-state is approached. 10 pages |
| Databáze: | OpenAIRE |
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