3 papers
cond-mat.stat-mech2026
Casimir versus Helmholtz forces in the Gaussian model: exact results for Dirichlet--Dirichlet, Neumann--Dirichlet, Neumann--Neumann, and periodic boundary conditions
Daniel Dantchev, Joseph Rudnick
We present results and compare the behavior of two fluctuation-induced forces pertinent for their corresponding ensembles: the critical Casimir force in the grand canonical (fixed…
cond-mat.stat-mech2025
Casimir versus Helmholtz fluctuation induced force in { the Nagle}-Kardar model: Exact results
Daniel Dantchev, Nicholay S. Tonchev, Joseph Rudnick
When used to describe \textit{finite} systems the {conjugate} statistical-mechanical ensembles are \textit{not} equivalent. This has physical implications for the behavior of the f…
cond-mat.stat-mech2024
Finite-size Nagle-Kardar model: Casimir force
Daniel Dantchev, Nicholay Tonchev, Joseph Rudnick
We derive exact results for the critical Casimir force (CCF) within the Nagle-Kardar model with periodic boundary conditions (PBC's). The model represents one-dimensional Ising cha…