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Effects of the kinetic energy in heat for overdamped systems

Pedro V. Paraguassú*

Rui Aquino

Lucianno Defaveri

Welles A. M. Morgado†

  • Departamento de Física, Pontifícia Universidade Católica, 22452-970, Rio de Janeiro, Brazil

  • Departamento de Física Teórica, Universidade do Estado do Rio de Janeiro, 20550-013, Rio de Janeiro, Brazil

  • Department of Physics, Bar Ilan University, Ramat-Gan 52900, Israel

  • Departamento de Física, Pontifícia Universidade Católica, 22452-970, Rio de Janeiro, Brazil and National Institute of Science and Technology for Complex Systems

  • *paraguassu@aluno.puc-rio.br
  • †welles@puc-rio.br
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Phys. Rev. E 106, 044106 – Published 6 October, 2022

DOI: https://doi.org/10.1103/PhysRevE.106.044106

Abstract

In the derivation of the thermodynamics of overdamped systems, one ignores the kinetic energy contribution since the velocity is a fast variable. In this paper, we show that the kinetic energy needs to be present in the calculation of the heat distribution to have a correct correspondence between the underdamped and overdamped cases, meaning that the velocity can not be fully ignored in the thermodynamics of these systems. We do this by investigating in detail the effect of the kinetic energy for three different systems: the harmonic potential, the logarithm potential, and an arbitrary non-isothermal process.

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Phys. Rev. E 106, 044106– Published 6 October, 2022
  • Received 13 January 2022
  • Revised 2 June 2022
  • Accepted 9 September 2022
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