Special Issue "Symmetry and Entropy"
A special issue of Entropy (ISSN 1099-4300).
Deadline for manuscript submissions: closed (31 December 2009)
Dr. Shu-Kun Lin
MDPI AG, Klybeckstrasse 64, CH-4057 Basel, Switzerland
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
Dr. Joe Rosen
NMC, 338 New Mark Esplanade, Rockville, MD 20850-2734, USA
Phone: +1 301 610 7666
Fax: +1 301 610 7666
Interests: symmetry; Curie principle; space; time; spacetime; quantum
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.
Related Special Issues in other Journals
Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. Papers will be published continuously (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.
Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are refereed through a peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Entropy is an international peer-reviewed Open Access monthly journal published by MDPI.
- Curie-Rosen symmetry principle (or Curie symmetry principle, or symmetry principle)
- symmetry evolution
- continuous symmetry
Commentary: The Symmetry Principle
Entropy 2005, 7(4), 308-313; doi:10.3390/e7040308
Received: 13 December 2005 / Accepted: 14 December 2005 / Published: 15 December 2005| Download PDF Full-text (47 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| Download PDF Full-text (183 KB)
Book Review: Symmetry Rules: How Science and Nature Are Founded on Symmetry. By Joe Rosen. Springer: Berlin. 2008, XIV, 305 p. 86 illus., Hardcover. CHF 70. ISBN: 978-3-540-75972-0
Entropy 2008, 10(2), 55-57; doi:10.3390/entropy-e10020055
Received: 14 April 2008 / Accepted: / Published: 16 June 2008| Download PDF Full-text (27 KB)
Article: stu Black Holes Unveiled
Entropy 2008, 10(4), 507-555; doi:10.3390/e10040507
Received: 5 October 2008 / Accepted: 13 October 2008 / Published: 17 October 2008| Download PDF Full-text (544 KB)
Entropy 2009, 11(2), 238-248; doi:10.3390/e11020238
Received: 30 December 2008 / Accepted: 20 April 2009 / Published: 21 April 2009| Download PDF Full-text (181 KB)
Last update: 12 January 2011