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The heat distribution of the underdamped Langevin equation

Pedro V. Paraguassú, Rui Aquino and Welles A.M. Morgado

Physica A: Statistical Mechanics and its Applications, 2023, vol. 615, issue C

Abstract: In Stochastic Thermodynamics, heat is a random variable with a probability distribution associated. Studies of the distribution of heat are mostly in the overdamped regime and in one dimension. Here we solve the heat distribution in the underdamped regime for three different cases: the free particle, the linear potential, and the harmonic potential. All of them in arbitrary dimensions. The results are exact and generalize known results in the literature.

Keywords: Heat distributions; stochastic thermodynamics; Exact models; Path integrals (search for similar items in EconPapers)
Date: 2023
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:615:y:2023:i:c:s0378437123001231

DOI: 10.1016/j.physa.2023.128568

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