75 citations · 528 across the 35 of their papers we have counts for
36 papers
Casimir Force, Magnetization, and Susceptibility for \\ Ising Chain with an Impurity Atom in the Presence of an External Field
Daniel Dantchev
The article contains exact results for the behavior of the Casimir force of Ising chain of atoms containing an impurity atom. The force is considered as a function of and o…
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…
A Brief Survey of Fluctuation-induced Interactions in Micro- and Nano-systems and One Exactly Solvable Model as Example
Daniel Dantchev, Nicholay Tonchev
Fluctuations exist in any material object . If has non-zero temperature , one speaks about thermal fluctuations. If is at very low , the fluctuations are of quantu…
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…