Abstract Systems with long-range interactions quenched into a metastable state near the
pseudospinodal exhibit nucleation that is qualitatively different from classical nucleation …

Our aim in this paper is to investigate the time distribution of the monomer intact fiber of a
bundle model of fibers subject to a constant external load. Breaking process is created by …

A variational formulation and numerical implementation of the phase-field models for shape
memory alloys using distributed computing are reported in the paper. The numerical …

We consider ferroelastic first-order phase transitions with N OP order-parameter strains
entering Landau free energies as invariant polynomials that have NV structural-variant …

It is demonstrated how the formation of macroscopic martensite variant combinations in a
two-dimensional shape memory alloy structure can be modified by mechanical loadings …

We present a new procedure for the systematic reduction of a continuum theory of
martensitic transformations to a spin system whose dynamics can be described by an …

The physical properties that make “functional” materials worthy of their moniker frequently
arise because of a phase transition that establishes a new kind of order as the material is …

We review a perspective of doped transition metal oxides as correlated electron materials
governed by functional multiscale complexity. We emphasize several themes: the …

In this paper, we build the mathematical framework to describe the physical phenomenon
behind the equilibrium configuration joining two orthogonal antiferromagnetic domains that …

Self-organization of charged particles on a two-dimensional lattice, subject to an anisotropic
Jahn-Teller-type interaction and three-dimensional Coulomb repulsion, is investigated. In …