Sep 17 – 21, 2022
Faculty of Physics, Astronomy and Applied Computer Science; Jagiellonian University
Europe/Warsaw timezone
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Temperature and friction fluctuations inside a harmonic potential

Sep 20, 2022, 3:55 PM
25m
Faculty of Physics, Astronomy and Applied Computer Science; Jagiellonian University

Faculty of Physics, Astronomy and Applied Computer Science; Jagiellonian University

Łojasiewicza 11, 30-348 Kraków, Poland
Regular talk Tuesday session

Speaker

Dr Yann Lanoiselée (University of Birmingham)

Description

In this talk we present the study of the trapped motion of a molecule undergoing diffusivity fluctuations inside a harmonic potential. For the same diffusing-diffusivity process, we investigate two possible interpretations. Depending on whether diffusivity fluctuations are interpreted as temperature or friction fluctuations, we show that they display drastically different statistical properties inside the harmonic potential. We compute the characteristic function of the process under both types of interpretations and analyse their limit behavior. Based on the integral representations of the processes we compute the mean-squared displacement and the normalized excess kurtosis. In the long-time limit, we show for friction fluctuations that the probability density function (PDF) always converges to a Gaussian whereas in the case of temperature fluctuations the stationary PDF can display either Gaussian distribution or generalized Laplace (Bessel) distribution depending on the ratio between diffusivity and positional correlation times.

Temperature and friction fluctuations inside a harmonic potential
Yann Lanoiselée, Aleksander Stanislavsky, Davide Calebiro, Aleksander Weron (submitted)
https://arxiv.org/abs/2207.14068

Primary authors

Dr Yann Lanoiselée (University of Birmingham) Dr Aleksander Stanislavsky (Institute of Radio Astronomy, Karkhiv) Prof. Davide Calebiro (University of Birmingham) Prof. Aleksander Weron (Faculty of Pure and Applied Mathematics, Hugo Steinhaus Center, Wroclaw)

Presentation materials

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