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DY: Fachverband Dynamik und Statistische Physik

DY 24: Focus Session: Broken Symmetries in Statistical Physics - Dynamics of Odd Systems

DY 24.2: Vortrag

Mittwoch, 19. März 2025, 15:30–15:45, H43

A route from force to velocity autocorrelation in over-damped odd dynamic and its applications to the study of diffusion — Filippo Faedi and •Abhinav Sharma — University of Augsburg, Augsburg, Germany

In this work we present a derivation of the relation between the velocity and force autocorrelation in over-damped dynamic starting from the underdamped Langevin equation. Time reversal symmetries are used to simplify the noise force autocorrelation and this procedure can be applied both in the presence and in the absence of magnetic field. Thanks to these relation we can prove that off diagonal element of the force autocorrelation matrix contribute to the self diffusion coefficient in the presence of a magnetic field. In addition the result is applied to study the dynamics of two odd dimers with same and opposite charges.

Keywords: time reversal symmetries; dynamics of odd systems; over-damped dynamic; statistical physics; force autocorrelation