Amorphous materials as diverse as foams, emulsions, colloidal suspensions and granular media can jam into a rigid, disordered state where they withstand finite shear stresses before yielding. Here we give a simple introduction to the surprising physics displayed by a very simple model system for...

In the present work we match the biased hierarchical continuous-time random flight (HCTRF) on a regular lattice (based on hierarchical waiting-time distribution) and the extreme event theory (EVT). This approach extends the understanding of the anomalous transport and diffusion (for example,...

A non-linear model for time-dependent occupation of lattice gas sites is studied. A self-consistent approximation for the diffusion operator is proposed and studied in discrete and continual forms. It is shown that self-organization effects in the spinodal region lead to a spontaneous...

In the realm of Ehrenfest’s theorem, classical trajectories obeying Newton’s laws have been proven useful to construct explicit solutions to the time-dependent Wigner–Liouville equation. Whereas previous works have particularly focused on the initial distribution function as a vehicle...

An auto-adaptive multicanonical Monte Carlo (MMC) simulation method is suggested and tested on a single-vortex model of magnetic nanoelement. Simulation process consisting of nonequilibrium and equilibrium stages that circumvents ergodicity sampling problems which stem from a potential barrier...

Surface diffusion is the key process responsible for mass transport on surfaces. Experiments can be carried out to measure surface diffusion either under equilibrium or non-equilibrium conditions. Equilibrium experiments can be used to measure the coverage and temperature dependence of the...

Using a one parameter free energy model for surfactants, we numerically study the effects of hydrodynamics in the microemulsion and lamellar phases. Our results show that the dynamical correlation function has temporal oscillations for a range of hydrodynamical coupling strengths in the...

We consider an initial stage of the origination of droplike aggregates in a ferrocolloid made metastable by a strengthening of an external magnetic field, when emerging nuclei are still not large enough to affect ferrocolloid properties appreciably. Expressions for the growth rate of a...