We analyze the characteristic features of traffic breakdown. To describe this phenomenon we apply the probabilistic model regarding the jam emergence as the formation of a large car cluster on a… (More)

A parallel [open multiprocessing (OpenMP)] implementation of the Wolff single-cluster algorithm has been developed and tested for the three-dimensional (3D) Ising model. The developed procedure is… (More)

A multicluster model of traffic flow is studied, in which the motion of cars is described by a stochastic master equation. Assuming that the escape rate from a cluster depends only on the cluster… (More)

An analogy of the Fokker-Planck equation (FPE) with the Schrödinger equation allows us to use quantum mechanics technique to find the analytical solution of the FPE in a number of cases. However,… (More)

Application of thermodynamics to driven systems is discussed. As particular examples, simple traffic flow models are considered. On a microscopic level, traffic flow is described by Bando’s optimal… (More)

The recently published experimental data for specific heat C p of liquid helium in zero gravity conditions very close to the λ–transition have been discussed. We have shown that these data allow… (More)

The corrections to finite-size scaling in the critical two-point correlation function G(r) of 2D Ising model on a square lattice have been studied numerically by means of exact transfer–matrix… (More)

A renormalization group (RG) theory of Goldstone mode singularities in the O(n > 1)–symmetric ϕ 4 model is discussed. This perturbative RG theory is claimed to be asymptotically exact, as regards the… (More)

We analyze the characteristic features of jam formation on a circular one–lane road. We have applied an optimal velocity model including stochastic noise, where cars are treated as moving and… (More)