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

Author(s)

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

Affiliation

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

• Document type: Journal article
• Source: JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT; v. 2020, n. 1 JAN 2020.
• Web of Science Citations: 0

Abstract

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)

• FAPESP's process: 18/06365-4 - Optimization of thermodynamical work in far from equilibrium systems
• Grantee: Pierre Marie Antoine Leite Nazé
• Support Opportunities: Scholarships in Brazil - Doctorate
• FAPESP's process: 18/21285-7 - Optimization of thermodynamic work with machine learning control
• Grantee: Pierre Marie Antoine Leite Nazé
• Support Opportunities: Scholarships abroad - Research Internship - Doctorate