UCL Discovery
UCL home » Library Services » Electronic resources » UCL Discovery

Finite-bath corrections to the second law of thermodynamics

Richens, JG; Alhambra, AM; Masanes, L; (2018) Finite-bath corrections to the second law of thermodynamics. Physical Review E , 97 (6) , Article 062132. 10.1103/PhysRevE.97.062132. Green open access

[thumbnail of PhysRevE.97.pdf]
Preview
Text
PhysRevE.97.pdf - Published Version

Download (546kB) | Preview

Abstract

The second law of thermodynamics states that a system in contact with a heat bath can undergo a transformation if and only if its free energy decreases. However, the “if” part of this statement is only true when the effective heat bath is infinite. In this article we remove this idealization and derive corrections to the second law in the case where the bath has a finite size, or equivalently finite heat capacity. This can also be translated to processes lasting a finite time, and we show that thermodynamical reversibility is lost in this regime. We do so in full generality, without assuming any particular model for the bath; the only parameters defining the bath are its temperature and heat capacity. We find connections with second order Shannon information theory, in particular, in the case of Landauer erasure. We also consider the case of nonfluctuating work and derive finite-bath corrections to the min and max free energies employed in single-shot thermodynamics.

Type: Article
Title: Finite-bath corrections to the second law of thermodynamics
Open access status: An open access version is available from UCL Discovery
DOI: 10.1103/PhysRevE.97.062132
Publisher version: https://doi.org/10.1103/PhysRevE.97.062132
Language: English
Additional information: This is the published version of record. For information on re-use, please refer to the publisher’s terms and conditions.
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > London Centre for Nanotechnology
URI: https://discovery.ucl.ac.uk/id/eprint/10056071
Downloads since deposit
113Downloads
Download activity - last month
Download activity - last 12 months
Downloads by country - last 12 months

Archive Staff Only

View Item View Item