49 citations · 79 across the 9 of their papers we have counts for
6 papers · 1 filter
Clausius inequality and H-theorems for some models of random wealth exchange
S. M. Apenko
We discuss a possibility of deriving an H-theorem for nonlinear discrete time evolution equation that describes random wealth exchanges. In such kinetic models economical agents ex…
In Search of H-theorem for Ulam's Redistribution Problem
S. M. Apenko
We discuss the possibility of deriving an H-theorem for the nonlinear discrete time evolution known as Ulam's redistribution of energy problem. In this model particles are paired a…
Monotonic entropy growth for a nonlinear model of random exchanges
S. M. Apenko
We present a proof of the monotonic entropy growth for a nonlinear discrete-time model of a random market. This model, based on binary collisions, also may be viewed as a particula…
Information theory and renormalization group flows
S. M. Apenko
We present a possible approach to the study of the renormalization group (RG) flow based entirely on the information theory. The average information loss under a single step of Wil…
Superfluid transition temperature from the Lindemann-like criterion
S. M. Apenko
We further analyze the recently proposed criterion, according to which a superfluid transition occurs whenever the r.m.s. displacement of a particle from its initial position in im…
Critical temperature of the superfluid transition in bose liquids
Sergey M. Apenko
A phenomenological criterion for the superfluid transition is proposed, which is similar to the Lindemann criterion for the crystal melting. Then we derive a new formula for the cr…