4 citations · 7 across the 4 of their papers we have counts for
4 papers
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…
Statistical mechanics of thermal fluctuations of nearly spherical membranes: the influence of bending and stretching elasticities
Nicholay S. Tonchev
Theoretical studies of nearly spherical vesicles and microemulsion droplets, that present typical examples for thermally-excited systems that are subject to constraints, are review…