4th Workshop on Statistical Physics

Heat exchange fluctuation relation for the transition from a micro-canonical to a canonical ensemble in a classical harmonic oscillator

5 oct. 2023 16:00

2h

Edificio 405 (Universidad Nacional de Colombia)

Poster Statistical Physics Poster session

Ponente

Jose Daniel Muñoz Castaño (Departamento de Física, Universidad Nacional de Colombia, Bogotá)

Descripción

Hereby we investigate the thermalization of a classical harmonic oscillator starting from a micro-canonical ensemble at energy Eo and finishing in a canonical one at temperature T. We derived analytically that the probabilities $P(Q)$ and $P(−Q)$ of gaining or losing a certain amount of heat $Q$ are related as $P(Q)=\exp(-2Q/kT) P(-Q)$, a result we also verified through molecular dynamics simulations with an overdamping Langevin equation algorithm. Our results give insight into the thermalization process and contributes to extend fluctuation relations to micro-canonical initial states.