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 finite time tf, even by reducing its natural relaxation timescale τrelax. Although numerous theoretical and experimental studies have explored these shortcut protocols, few have yielded analytical results for the probability distribution of the work, heat, and produced entropy. In this study, we propose a two-step protocol that captures the essential characteristics of more general protocols and provides an analytical solution for the relevant thermodynamic probability distributions. Additionally, we present evidence that for a very short protocol duration tfτrelax, all protocols exhibit universal behavior for the ratio of probability distribution functions of positive and negative work, heat, and the produced entropy.

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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.

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