Cluster properties of the one-dimensional lattice gas: The microscopic meaning of grand potential

Agata Fronczak

Abstract

Using a concrete example, we demonstrate how the combinatorial approach to a general system of particles, which was introduced in detail in an earlier paper, works and where this approach provides a genuine extension of results obtained through more traditional methods of statistical mechanics. We study the cluster properties of a one-dimensional lattice gas with nearest-neighbor interactions. Three cases (the infinite temperature limit, the range of finite temperatures, and the zero temperature limit) are discussed separately, yielding interesting results and providing alternative proof of known results. In particular, the closed-form expression for the grand partition function in the zero temperature limit is obtained, which results in the nonanalytic behavior of the grand potential, in accordance with the Yang-Lee theory. © 2013 American Physical Society.
Author Agata Fronczak (FP / PCSD)
Agata Fronczak,,
- Physics of Complex Systems Divison
Journal seriesPhysical Review E, ISSN 1539-3755
Issue year2013
Vol87
No2
Pages022131-022131
Publication size in sheets0.3
Keywords in EnglishClosed-form expression; Cluster property; Combinatorial approach; Finite temperatures; General systems; Grand potential; Nearest-neighbor interactions; One-dimensional lattice; Partition functions; Temperature limits; Yang-Lee theory; Zero temperatures, Crystal lattices; Statistical mechanics, Temperature
ASJC Classification3104 Condensed Matter Physics; 2613 Statistics and Probability; 3109 Statistical and Nonlinear Physics
DOIDOI:10.1103/PhysRevE.87.022131
URL http://www.scopus.com/inward/record.url?eid=2-s2.0-84874551827&partnerID=40&md5=09f94f3e4fa6586a9daad6ee1a8c247b
Languageen angielski
Score (nominal)35
Score sourcejournalList
ScoreMinisterial score = 35.0, 01-02-2020, ArticleFromJournal
Ministerial score (2013-2016) = 35.0, 01-02-2020, ArticleFromJournal
Publication indicators Scopus Citations = 5; WoS Citations = 5; Scopus SNIP (Source Normalised Impact per Paper): 2014 = 1.123; WoS Impact Factor: 2013 = 2.326 (2) - 2013=2.302 (5)
Citation count*5 (2015-07-21)
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* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.
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