We study homogeneous nucleation in the two-dimensional $q-$state Potts model for $q=3,5,10,20$ and ferromagnetic couplings $J_{ij} \propto \Theta (R - |i-j|)$, by means of Monte Carlo simulations employing heat bath dynamics. Metastability is induced low temperature phase through an instantaneous quench magnetic field coupled to one $q$ spin states. The depth adjusted, depending on value $T$, i...

The initial stage of isotropic-nematic spinodal demixing kinetics of suspensions of very long and thin, stiff, repulsive rods is analyzed on the basis of the N-particle Smoluchowski equation. Equations of motion for the reduced probability density function of the position and orientation of a rod are expanded up to second order in spatial gradients and leading order in orientational order param...

In this paper, we present new data on non-stationary heating of a platinum wire probe, immersed in binary partially-miscible liquid. A pressure value and mass fraction the polymer mixture were experimental parameters. The characteristic time was from 5 to 15 ms. object research water/polypropylene glycol-425 (PPG-425) having lower critical solution temperature (LCST). position diffusion spinoda...

This paper gives theoretical results on spinodal decomposition for the CahnHillard equation. We prove a mechanism which explains why most solutions for the Cahn-Hilliard equation which start near a homogeneous equilibrium within the spinodal interval exhibit phase separation with a characteristic wavelength when exiting a ball of radius R. Namely, most solutions are driven into a region of phas...

We study kinetics of a step propagating along a twin boundary in a cubic lattice undergoing an antiplane shear deformation. To model twinning, we consider a piecewise quadratic double-well interaction potential with respect to one component of the shear strain and harmonic interaction with respect to another. We construct semi-analytical traveling wave solutions that correspond to a steady step...

We present Monte Carlo simulations of a binary mixture simultaneously undergoing spinodal decomposition and the chemical reaction A — B. The competing processes give rise to novel, steady-state pattern formation with domain size scaling with reaction rate to a power, s, which equals the domain growth exponent, a, in the absence of chemical reactions. Our findings support recent numerical simula...