37 citations · 83 across the 6 of their papers we have counts for
6 papers
Phase space reduction of the one-dimensional Fokker-Planck (Kramers) equation
Pavol Kalinay, Jerome K. Percus
A pointlike particle of finite mass m, moving in a one-dimensional viscous environment and biased by a spatially dependent force, is considered. We present a rigorous mapping of th…
Survival probability (heat content) and the lowest eigenvalue of Dirichlet Laplacian
P. Kalinay, L. Samaj, I. Travenec
We study the survival probability of a particle diffusing in a two-dimensional domain, bounded by a smooth absorbing boundary. The short-time expansion of this quantity depends on…
Effective one-dimensional description of confined diffusion biased by a transverse gravitational force
Pavol Kalinay
Diffusion of point-like non interacting particles in a two-dimensional (2D) channel of varying cross section is considered. The particles are biased by a constant force in the tran…
Translation Symmetry Breaking in the One-Component Plasma on the Cylinder
L. Samaj, J. Wagner, P. Kalinay
The two-dimensional one-component plasma, i.e. the system of point-like charged particles embedded in a homogeneous neutralizing background, is studied on the surface of a cylinder…
Thermodynamic Properties of the Two-Dimensional Coulomb Gas in the Low-Density Limit
P. Kalinay, L. Samaj
The model under consideration is the two-dimensional Coulomb gas of charged hard disks with diameter . For the case of pointlike charges , the system is stable agai…
Another Derivation of a Sum Rule for the Two-Dimensional Two-Component Plasma
B. Jancovici, P. Kalinay, L. Samaj
In a two-dimensional two-component plasma, the second moment of the number density correlation function has the simple value , where is the dimensionl…