http://www.mdpi.com/journal/entropy/special_issues/gibbs_paradox/ Submission All papers should be submitted to entropy@mdpi.org with copy to the guest editor. To be published continuously until the deadline and papers will be listed together at the special websites. Both, research articles and review articles are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editors for announcment on this website. Submitted papers should not have been published previously, nor be under consideration for publication elsewhere. All papers are refereed through a peer-review process. A guide for authors, sample copies and other relevant information for submitting papers are available on the Instructions for Authors page. Entropy is an international peer-reviewed quarterly journal published by Molecular Diversity Preservation International. Please visit the Instructions for Authors page before submitting a paper. Open Access publication fees are 800 CHF per paper. English correction fees (250 CHF) will be added in certain cases (1050 CHF per paper for those papers that require extensive additional formatting and/or English corrections.). Literature A collection of journal papers on Gibbs Paradox is available at http://www.mdpi.org/lin/entropy/gibbs-paradox.htm. http://www.mdpi.com/1099-4300/11/3/454/ In this letter, it is argued that the correct counting of microstates is obtained from the very beginning when using Newtonian rather than Laplacian state functions, because the former are intrinsically permutation invariant. http://www.mdpi.com/1099-4300/11/3/454/ Mon, 07 Sep 2009 00:00:00 CEST Entropy 2009-09-07 11 3 Letter 454 456 1099-4300 Gibbs’ Paradox in the Light of Newton’s Notion of State 2009-09-07 doi: 10.3390/e11030454 Peter Enders http://www.mdpi.com/1099-4300/11/3/326/ The issue of the thermodynamics of a system of distinguishable particles is discussed in this paper. In constructing the statistical mechanics of distinguishable particles from the definition of Boltzmann entropy, it is found that the entropy is not extensive. The inextensivity leads to the so-called Gibbs paradox in which the mixing entropy of two identical classical gases increases. Lots of literature from different points of view were created to resolve the paradox. In this paper, starting from the Boltzmann entropy, we present the thermodynamics of the system of distinguishable particles. A straightforward way to get the corrected Boltzmann counting is shown. The corrected Boltzmann counting factor can be justified in classical statistical mechanics. http://www.mdpi.com/1099-4300/11/3/326/ Mon, 29 Jun 2009 00:00:00 CEST Entropy 2009-06-29 11 3 Review 326 333 1099-4300 Thermodynamics of the System of Distinguishable Particles 2009-06-29 doi: 10.3390/e11030326 Chi-Ho Cheng http://www.mdpi.com/1099-4300/10/1/15/ Gibbs’ Paradox is shown to arise from an incorrect traditional definition of the entropy that has unfortunately become entrenched in physics textbooks. Among its flaws, the traditional definition predicts a violation of the second law of thermodynamics when applied to colloids. By adopting Boltzmann’s definition of the entropy, the violation of the second law is eliminated, the properties of colloids are correctly predicted, and Gibbs’ Paradox vanishes. http://www.mdpi.com/1099-4300/10/1/15/ Thu, 20 Mar 2008 00:00:00 CET Entropy 2008-03-20 10 1 Article 15 18 1099-4300 Gibbs’ Paradox and the Definition of Entropy 2008-03-20 doi: 10.3390/entropy-e10010015 Robert H. Swendsen http://www.mdpi.com/1099-4300/10/1/1/ We are publishing volume 10 of Entropy. When I was a chemistry student I was facinated by thermodynamic problems, particularly the Gibbs paradox. It has now been more than 10 years since I actively published on this topic [1-4]. During this decade, the globalized Information Society has been developing very quickly based on the Internet and the term information is widely used, but what is information? What is its relationship with entropy and other concepts like symmetry, distinguishability and stability? What is the situation of entropy research in general? As the Editor-in-Chief of Entropy, I feel it is time to offer some comments, present my own opinions in this matter and point out a major flaw in related studies. [...] http://www.mdpi.com/1099-4300/10/1/1/ Mon, 17 Mar 2008 00:00:00 CET Entropy 2008-03-17 10 1 Commentary 1 5 1099-4300 Gibbs Paradox and the Concepts of Information, Symmetry, Similarity and Their Relationship 2008-03-17 doi: 10.3390/entropy-e10010001 Shu-Kun Lin http://www.mdpi.com/1099-4300/9/3/132/ Two versions of the so-called Gibbs paradox are discussed. Both of these areshown to be non-paradoxes. It is also shown that there is a different real paradox that emergesfrom Gibbs writings. http://www.mdpi.com/1099-4300/9/3/132/ Fri, 21 Sep 2007 00:00:00 CEST Entropy 2007-09-21 9 3 Discussion 132 136 1099-4300 On the So-Called Gibbs Paradox, and on the Real Paradox 2007-09-21 doi: 10.3390/e9030133 Arieh Ben-Naim http://www.mdpi.com/1099-4300/3/1/1/ Certain aspects of the history, derivation, and physical application of the information-theoretic entropy concept are discussed. Pre-dating Shannon, the concept is traced back to Pauli. A derivation from first principles is given, without use of approximations. The concept depends on the underlying degree of randomness. In physical applications, this translates to dependence on the experimental apparatus available. An example illustrates how this dependence affects Prigogine's proposal for the use of the Second Law of Thermodynamics as a selection principle for the breaking of time symmetry. The dependence also serves to yield a resolution of the so-called ``Gibbs Paradox.'' Extension of the concept from the discrete to the continuous case is discussed. The usual extension is shown to be dimensionally incorrect. Correction introduces a reference density, leading to the concept of Kullback entropy. Practical relativistic considerations suggest a possible proper reference density. http://www.mdpi.com/1099-4300/3/1/1/ Thu, 01 Feb 2001 00:00:00 CET Entropy 2001-02-01 3 1 Article 1 11 1099-4300 Some Observations on the Concepts of Information-Theoretic Entropy and Randomness 2001-02-01 doi: 10.3390/e3010001 Jonathan D.H. Smith http://www.mdpi.com/1099-4300/1/2/25/ We consider the work of reversible mixing of ideal gases using a real process. Now assumptions were made concerning infinite shifts, infinite number of cycles and infinite work to provide an accurate calculation of entropy resulting from reversible mixing of ideal gases. We derived an equation showing the dependence of this entropy on the difference in potential of mixed gases, which is evidence for the absence of Gibbs' paradox. http://www.mdpi.com/1099-4300/1/2/25/ Sun, 23 May 1999 00:00:00 CEST Entropy 1999-05-23 1 2 Article 25 36 1099-4300 Entropy Calculation of Reversible Mixing of Ideal Gases Shows Absence of Gibbs Paradox 1999-05-23 doi: 10.3390/e1020025 Vasili Tatarin Oleg Borodiouk http://www.mdpi.com/1099-4300/1/1/1/ n/a http://www.mdpi.com/1099-4300/1/1/1/ Thu, 11 Feb 1999 00:00:00 CET Entropy 1999-02-11 1 1 Editorial 1 3 1099-4300 Diversity and Entropy 1999-02-11 doi: 10.3390/e1010001 Shu-Kun Lin