Exact expressions for the partition function of the one-dimensional Ising model in the fixed-M ensemble.
basic_science · Level V
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- Also identified by DOI 10.1103/PhysRevE.106.L042103.
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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.