Nonequilibrium thermodynamic formalism is proposed to derive the flux of grainy (bubbles-containing) matter, emerging in a nucleation and growth process. Some power- and nonpower limits, due to the applied potential as well as owing to basic correlations in such systems, have been discussed....

On the basis of a Hamiltonian and canonical formalism of simple parabolic transport processes the action for short time intervals can be calculated. In the knowledge of action, we can examine the stochastic behavior of these processes and we conclude that these are Markovian in the space of...

We obtain new exact classes of solutions for the nonlinear fractional Fokker–Planck-like equation ∂tρ=∂x{D(x)∂μ−1xρν−F(x)ρ} by considering a diffusion coefficient D=D|x|−θ(θ∈R and D0) and a drift force F=−k1x+k̄γx|x|γ−1(k1,k̄γ,γ∈R). Connection with nonextensive...

Usually the distribution function of grains is defined on a semi-axis of all possible sizes of grains. It leads to some inconsistency, because volume of the individual grain can be arbitrary large and can be larger than the total volume of the system as a whole. Therefore in this paper we want...

Self-consistent analytical approach describes temporary steady-state nucleation of precipitates in a supersaturated solid solution under continuous generation of a solvent component. This kinetic stage appears due to dynamic balance between generation of monomers in the system and their...