2-6 October 2023
Universidad de los Andes / Universidad Nacional de Colombia
America/Bogota timezone

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)

Edificio 405

Universidad Nacional de Colombia

Poster Statistical Physics Poster session

Speaker

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

Description

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.

Primary authors

Mr Leonel Fernando Ardila (Departamento de Física, Universidad Nacional de Colombia, Bogotá) Mr Nicolás Torres (Departamento de Física, Universidad Nacional de Colombia, Bogotá) Jose Daniel Muñoz Castaño (Departamento de Física, Universidad Nacional de Colombia, Bogotá) Prof. Carlos Viviescas (Departamento de Física, Universidad Nacional de Colombia, Bogotá)

Presentation Materials

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