The Second Law of Thermodynamics as a Force Law

The second law of thermodynamics states the increase of entropy, Δ S > 0 , for real processes from state A to state B at constant energy from chemistry over biological life and engines to cosmic events. The connection of entropy to information, phase-space, and heat is helpful but does...

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Main Author: Jürgen Schlitter
Format: Article
Language:English
Published: MDPI AG 2018-03-01
Series:Entropy
Subjects:
Online Access:http://www.mdpi.com/1099-4300/20/4/234
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author Jürgen Schlitter
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author_sort Jürgen Schlitter
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description The second law of thermodynamics states the increase of entropy, Δ S > 0 , for real processes from state A to state B at constant energy from chemistry over biological life and engines to cosmic events. The connection of entropy to information, phase-space, and heat is helpful but does not immediately convince observers of the validity and basis of the second law. This gave grounds for finding a rigorous, but more easily acceptable reformulation. Here, we show using statistical mechanics that this principle is equivalent to a force law ⟨ ⟨ f ⟩ ⟩ > 0 in systems where mass centers and forces can be identified. The sign of this net force--the average mean force along a path from A to B--determines the direction of the process. The force law applies to a wide range of processes from machines to chemical reactions. The explanation of irreversibility by a driving force appears more plausible than the traditional formulation as it emphasizes the cause instead of the effect of motions.
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spelling doaj.art-e9c5c0a0e93144bab3f813cd2bce082a2022-12-22T02:06:50ZengMDPI AGEntropy1099-43002018-03-0120423410.3390/e20040234e20040234The Second Law of Thermodynamics as a Force LawJürgen Schlitter0Biophysics, Ruhr-University Bochum, 44780 Bochum, GermanyThe second law of thermodynamics states the increase of entropy, Δ S > 0 , for real processes from state A to state B at constant energy from chemistry over biological life and engines to cosmic events. The connection of entropy to information, phase-space, and heat is helpful but does not immediately convince observers of the validity and basis of the second law. This gave grounds for finding a rigorous, but more easily acceptable reformulation. Here, we show using statistical mechanics that this principle is equivalent to a force law ⟨ ⟨ f ⟩ ⟩ > 0 in systems where mass centers and forces can be identified. The sign of this net force--the average mean force along a path from A to B--determines the direction of the process. The force law applies to a wide range of processes from machines to chemical reactions. The explanation of irreversibility by a driving force appears more plausible than the traditional formulation as it emphasizes the cause instead of the effect of motions.http://www.mdpi.com/1099-4300/20/4/234statistical mechanicsirreversibilityarrow of timechemical dynamics
spellingShingle Jürgen Schlitter
The Second Law of Thermodynamics as a Force Law
Entropy
statistical mechanics
irreversibility
arrow of time
chemical dynamics
title The Second Law of Thermodynamics as a Force Law
title_full The Second Law of Thermodynamics as a Force Law
title_fullStr The Second Law of Thermodynamics as a Force Law
title_full_unstemmed The Second Law of Thermodynamics as a Force Law
title_short The Second Law of Thermodynamics as a Force Law
title_sort second law of thermodynamics as a force law
topic statistical mechanics
irreversibility
arrow of time
chemical dynamics
url http://www.mdpi.com/1099-4300/20/4/234
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