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DY: Fachverband Dynamik und Statistische Physik
DY 31: Poster: Statistical Physics
DY 31.15: Poster
Wednesday, March 20, 2024, 15:00–18:00, Poster C
Heat exchange fluctuation relation for the transition from a micro-canonical to a canonical ensemble in a classical harmonic oscillator — Leonel F. Ardila1, Nicolás Torres-Domínguez2, José D. Muñoz1, and •Carlos Viviescas2 — 1Simulation of Physical Systems Group and Center of Excellence in Scientific Computing: CoE-SciCo, Department of Physics, Universidad Nacional de Colombia, Bogotá, Colombia. — 2Departamento de Física, Universidad Nacional de Colombia, Bogotá, Colombia.
In this work we present the analytical derivation and the numerical verification of an original heat fluctuation relation for a harmonic oscillator evolving at constant temperature from a micro-canonical to a canonical ensemble. We found that the probabilities P(Q) and P(−Q) of gaining or loosing a heat Q, respectively, are related as
| = e −2Q/kBT , (1) |
with T the temperature. This result is numerically validated through molecular dynamics simulations with an overdamping Langevin equation algorithm [1]. Our results give insight on the probabilistic behavior of a system undergoing thermalization and contributes to extend fluctuation relations to micro-canonical initial states [2].
[1] P. Talkner, M. Morillo2, J. Yi and P. Hänggi, New J. Phys. 15,095001(2013).
[2] N. Goga, A.J. Rzepiela, A.H. de Vries, S.J. Marrink, and H.J.C. Berendsen, J. Chem. Theory Comput., 8 3637-3649 (2012)
Keywords: Fluctuation relations; Heat statistics