9 citations · 13 across the 4 of their papers we have counts for
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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…
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…
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…
Casimir and Helmholtz forces in one-dimensional Ising model with Dirichlet (free) boundary conditions
D. M. Dantchev, N. S. Tonchev, J. Rudnick
Attention in the literature has increasingly turned to the issue of the dependence on ensemble and boundary conditions of fluctuation-induced forces. We have recently investigated…