Coarse-grained entropy balance of the Szilard engine

Fuente: arXiv
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Autores principales: Schmidt, Heinz-Jürgen, Bröcker, Thomas
Formato: Preprint
Publicado: 2025
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author Schmidt, Heinz-Jürgen
Bröcker, Thomas
author_facet Schmidt, Heinz-Jürgen
Bröcker, Thomas
contents In order to reconcile the entropy reduction of a system through external interventions that are linked to a measurement with the second law of thermodynamics, there are two main proposals: (i) The entropy reduction is compensated by the entropy increase as a result of the measurement on the system (``Szilard principle"). (ii) The entropy reduction is compensated by the entropy increase as a result of the erasure of the measurement results (``Landauer/Bennett principle"). It seems that the LB principle is widely accepted in the scientific debate. In contrast, in this paper we argue for a modified S principle and criticize the LB principle with regard to various points. Our approach is based on the concept of ``conditional action", which is developed in detail. To illustrate our theses, we consider the entropy balance of a variant of the well-known Szilard engine, understood as a classical mechanical system.
format Preprint
id arxiv_https___arxiv_org_abs_2503_22999
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Coarse-grained entropy balance of the Szilard engine
Schmidt, Heinz-Jürgen
Bröcker, Thomas
Classical Physics
History and Philosophy of Physics
In order to reconcile the entropy reduction of a system through external interventions that are linked to a measurement with the second law of thermodynamics, there are two main proposals: (i) The entropy reduction is compensated by the entropy increase as a result of the measurement on the system (``Szilard principle"). (ii) The entropy reduction is compensated by the entropy increase as a result of the erasure of the measurement results (``Landauer/Bennett principle"). It seems that the LB principle is widely accepted in the scientific debate. In contrast, in this paper we argue for a modified S principle and criticize the LB principle with regard to various points. Our approach is based on the concept of ``conditional action", which is developed in detail. To illustrate our theses, we consider the entropy balance of a variant of the well-known Szilard engine, understood as a classical mechanical system.
title Coarse-grained entropy balance of the Szilard engine
topic Classical Physics
History and Philosophy of Physics
url https://arxiv.org/abs/2503.22999