Brownian Fluctuations of a non-confining potential

Pedro B. Melo, Pedro V. Paraguassú, Eduardo S. Nascimento and Welles A.M. Morgado

Physica A: Statistical Mechanics and its Applications, 2024, vol. 650, issue C

Abstract: Brownian fluctuations arise for any quantity that depends on the stochastic variables of a Brownian particle. In this study, we explore the Brownian fluctuations of a two-dimensional quadratic potential that exhibits two regimes: A confining regime and a non-confining regime. Our analysis focuses on the statistical properties of the potential energy changes relative to an initial setup. We decompose the total potential into two components and thoroughly examine their mean, variance, skewness, and excess kurtosis, as well as their respective distributions. By analyzing these quantities individually, and with relation to the total potential, we gain insights into the nature of the statistical fluctuations of potential energy.

Keywords: Stochastic thermodynamics; Brownian particle; Non-confining potential. (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:650:y:2024:i:c:s0378437124005053

DOI: 10.1016/j.physa.2024.129996

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