49 citations · 79 across the 9 of their papers we have counts for
9 papers
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…
Renormalization of the vacuum angle in quantum mechanics, Berry phase and continuous measurements
S. M. Apenko
The vacuum angle renormalization is studied for a toy model of a quantum particle moving around a ring, threaded by a magnetic flux . Different renormalization group (RG) pr…
Renormalization of the vacuum angle for a particle on a ring
S. M. Apenko
We analyze the vacuum (topological) angle renormalization for the quantum mechanical model of a particle moving around a ring, where is the magnetic flux through the ring.…