Compatibility of linear-response theory with the second law of thermodynamics and the emergence of negative entropy production rates

Autor(es)

Naze, Pierre ^[1] ; Bonanca, Marcus V. S. ^[1]

Afiliação do(s) autor(es)

^[1] Univ Estadual Campinas, Inst Fis Gleb Wataghin, BR-13083859 Campinas, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT; v. 2020, n. 1 JAN 2020.
• Citações Web of Science: 0

Resumo

The reliability of physical theories depends on whether they agree with well-established physical laws. In this work, we address the compatibility of the Hamiltonian formulation of linear-response theory with the second law of thermodynamics. In order to do so, we verify three complementary aspects often understood as statements of the second law: (1) no dissipation for quasistatic process; (2) dissipation for finite-time processes; and (3) positive entropy production rate. Our analysis focuses on two classes of nonequilibrium isothermal processes: slowly-varying and finite-time but weak ones. For the former, we show that these aspects are easily verified. For the later, we present conditions for the achievement of the first two aspects. We also show that the third one is not always verified, presenting an example based on Brownian motion in which we observe negative values in the entropy production rate. In particular, we compare linear-response and exact results for this example. (AU)

• Processo FAPESP: 18/06365-4 - Otimização do trabalho termodinâmico em sistemas fora do equilíbrio
• Beneficiário: Pierre Marie Antoine Leite Nazé
• Modalidade de apoio: Bolsas no Brasil - Doutorado
• Processo FAPESP: 18/21285-7 - Otimização do trabalho termodinâmico com machine learning control
• Beneficiário: Pierre Marie Antoine Leite Nazé
• Modalidade de apoio: Bolsas no Exterior - Estágio de Pesquisa - Doutorado