Exact expressions for the partition function of the one-dimensional Ising model in the fixed-M ensemble

Autor:	Daniel Dantchev, Joseph Rudnick
Rok vydání:	2022
Předmět:	Statistical Mechanics (cond-mat.stat-mech) FOS: Physical sciences Condensed Matter - Statistical Mechanics
Zdroj:	Physical Review E
ISSN:	2470-0053
Popis:	We obtain exact closed-form expressions for the partition function of the one-dimensional Ising model in the fixed-$M$ ensemble, for three commonly-used boundary conditions: periodic, antiperiodic and Dirichlet. These expressions allow for the determination of fluctuation-induced forces in the canonical ensemble, which we term Helmholtz forces. The thermodynamic expressions and the calculations flowing from them should provide insights into the nature and behavior of fluctuation induced forces in interesting and as-yet unexplored regimes. Comment: 7 pages, 6 figures. This is the version that was accepted for publication in Physical Review E Letters
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f80708153fbd32269fb19c6feb5753c4 https://pubmed.ncbi.nlm.nih.gov/36397552 Zobrazit plný text záznamu