29 citations · 367 across the 66 of their papers we have counts for
9 papers · 1 filter
The Entropies
Roumen Tsekov
Entropy is critically examined as a fundamental concept in contemporary science and informatics. Although the typical Shannon entropy provides a proper framework for describing the…
Advanced Thermostats for Molecular Dynamics
Roumen Tsekov
Advanced thermostats for molecular dynamics are proposed on the base of the rigorous Langevin dynamics. Because the latter accounts for the subsystem-bath interactions in details,…
Stochastic equations for thermodynamics
R. Tsekov
The applicability of stochastic differential equations to thermodynamics is considered and a new form, different from the classical Ito and Stratonovich forms, is introduced. It is…
Golden ratio autocorrelation function and the exponential decay
R. Tsekov
An autocorrelation function is obtained on the base of the recurrence relation formalism, whose continued fraction form corresponds to that of golden ratio. It turns out that this…
Resonant diffusion on solid surfaces
Roumen Tsekov
A new approach to Brownian motion of atomic clusters on solid surfaces is developed. The main topic discussed is the dependence of the diffusion coefficient on the fit between the…
On the velocity autocorrelation function of a Brownian particle
Roumen Tsekov, Boryan Radoev
Memory effect of Brownian motion in an incompressible fluid is studied. The reasoning is based on the Mori-Zwanzig formalism and a new formulation of the Langevin force as a result…