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Condensed Matter > Statistical Mechanics
Title: Exact expressions for the partition function of the one-dimensional Ising model in the fixed-$M$ ensemble
(Submitted on 3 Jul 2022 (v1), last revised 29 Nov 2022 (this version, v3))
Abstract: 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.
Submission history
From: Joseph Rudnick [view email][v1] Sun, 3 Jul 2022 22:21:26 GMT (315kb,D)
[v2] Tue, 5 Jul 2022 18:04:06 GMT (316kb,D)
[v3] Tue, 29 Nov 2022 18:39:13 GMT (326kb,D)
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