Special Issue "Symmetry and Entropy"


A special issue of Entropy (ISSN 1099-4300).

Deadline for manuscript submissions: closed (31 December 2009)

Special Issue Editor

Managing Editor
Dr. Shu-Kun Lin
MDPI AG, Klybeckstrasse 64, CH-4057 Basel, Switzerland
Website: http://www.mdpi.org/lin/
E-Mail: lin@mdpi.com
Phone: +41 79 322 33 79
Interests: Gibbs paradox; entropy; symmetry; similarity; diversity; information theory; thermodynamics; process irreversibility or spontaneity; stability; nature of the chemical processes; molecular recognition; open access journals

Special Issue Information

Dear Colleagues,

The relation between symmetry and entropy is a deep one. For isolated systems that are meaningfully describable in terms of microstates and macrostates, entropy S obeys the second law of thermodynamics and never decreases as the system evolves. A macrostate of such a system possesses a natural symmetry, its invariance under permutations of the set of microstates corresponding to it. Macroevolution is generally convergent, with the same final macrostate resulting from (usually many) different initial macrostates. But microevolution is nonconvergent, where different microstates always evolve into different microstates. (Nonconvergence is related to time reversal symmetry.) With the degree of symmetry of a macrostate represented by the number of its corresponding microstates W (monotonically related to the order of the symmetry group W!), it follows from the Curie principle (or symmetry principle) that the degree of symmetry of a macrostate never decreases as the system evolves. This is the special symmetry evolution principle and it is isomorphic with the second law under interchange of S and W. These two quantities are indeed monotonically increasing functions of each other through the famous relation S = k log W. This special issue celebrates that relation.

Dr. Shu-Kun Lin
Managing Editor


  • Curie-Rosen symmetry principle (or Curie symmetry principle, or symmetry principle)
  • causality
  • symmetry evolution
  • continuous symmetry
  • similarity
  • indistinguishanbility
  • chirality
  • asymmetry

Related Special Issue

Published Papers (5 papers)

by  and
Entropy 2009, 11(2), 238-248; doi:10.3390/e11020238
Received: 30 December 2008; Accepted: 20 April 2009 / Published: 21 April 2009
Show/Hide Abstract | PDF Full-text (181 KB)

by , ,  and
Entropy 2008, 10(4), 507-555; doi:10.3390/e10040507
Received: 5 October 2008; Accepted: 13 October 2008 / Published: 17 October 2008
Show/Hide Abstract | Cited by 37 | PDF Full-text (544 KB)

Entropy 2008, 10(2), 55-57; doi:10.3390/entropy-e10020055
Received: 14 April 2008; Published: 16 June 2008
Show/Hide Abstract | PDF Full-text (27 KB)

Entropy 2008, 10(1), 6-14; doi:10.3390/entropy-e10010006
Received: 28 February 2008; in revised form: 16 March 2008 / Accepted: 19 March 2008 / Published: 20 March 2008
Show/Hide Abstract | Cited by 4 | PDF Full-text (183 KB)

Entropy 2005, 7(4), 308-313; doi:10.3390/e7040308
Received: 13 December 2005; Accepted: 14 December 2005 / Published: 15 December 2005
Show/Hide Abstract | Cited by 2 | PDF Full-text (47 KB)

Last update: 7 August 2014

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