Analytical Insights and Universal Behavior in Fast Thermal Equilibration Protocols

Phys. Rev. E 109, 014145 (2024)

When a system deviates from equilibrium, it is possible to manipulate and control it to drive it towards equilibrium within a finite time tf, even reducing its natural relaxation time scale τrelax. Although numerous theoretical and experimental studies have explored these shortcut protocols, few have yielded analytical results for the probability distribution of work, heat and entropy production. In this paper, we propose a two-step protocol that captures the essential characteristics of more general protocols and has analytical solution for the relevant thermodynamic probability distributions. Additionally, we demonstrate that for very short protocol duration, all protocols exhibit universal behavior in their shape and for the ratio of probability distribution functions of positive and negative work, heat and the entropy production.

Grupo de Física Estadística

Departamento de Física

Edificio Ip

Carrera 1E # 18A-10

Bogotá, Colombia

Universidad de los Andes | Vigilada Mineducación
Reconocimiento como Universidad: Decreto 1297 del 30 de mayo de 1964.
Reconocimiento personería jurídica: Resolución 28 del 23 de febrero de 1949 Minjusticia.

Web design and programming © Gabriel Téllez