9 citations · 43 across the 26 of their papers we have counts for
4 papers · 1 filter
Dynamical phase transition in the simplest molecular chain model
V. A. Malyshev, S. A. Muzychka
We consider the dynamics of the simplest chain of large number of particles. We find, in the double scaling limit, the partition of the parameter space onto two domains, where…
Linear Hamiltonian Systems under Microscopic Random Influence
A. A. Lykov, V. A. Malyshev
It is known that a linear hamiltonian system has too many invariant measures, thus the problem of convergence to Gibbs measure has no sense. We consider linear hamiltonian systems…
Harmonic Chain with Weak Dissipation
A. A. Lykov, V. A. Malyshev
We consider finite harmonic chain (consisting of N classical particles) plus dissipative force acting on one particle (called dissipating particle) only. We want to prove that "in…
Mathematics for some classes of networks
V. A. Malyshev, A. A. Zamyatin
Network (as a general notion) is not a mathematical object - there is no even any definition. However, there is a lot of good rigorous mathematics for well-defined classes of netwo…