An overview of the dynamics of one of the fundamental models of low-dimensional nonlinear
physics, the Frenkel–Kontorova (FK) model, is presented. In its simplest form, the FK model …

Theoretical physics deals with physical models. The main requirements for a good physical
model are simplicity and universality. Universal models which can be applied to describe a …

Phenomenological theory of dissipation-limited motion of ferroelectric domain walls under
external bias field is applied to the case of 90-degree domain wall in a defect-free BaTiO3 …

We find new behaviour in a lattice with second-neighbour interactions. First we find solitary
waves with oscillatory spatial decay, this is something that cannot occur in lattices with …

Aperiodic crystals may have additional low frequency modes related to the possibility to
describe them in a higher-dimensional space. Dynamics associated with these degrees of …

В книге на основе оригинальной физической концепции представлены различные
аспекты природы слабоустойчивых длиннопериодических состояний …

The two-dimensional elastically hinged molecule model of a crystal which contains two
anharmonic terms was studied numerically. The results show that the 1 q or 2 q …

For a one-dimensional discrete model of a crystal the form of a moving domain wall in the
structure with period multiple of four was derived in the constant amplitude approximation …

Utilizing a one-dimensional atomic chain model, commensurate structures have been
discussed. It has turned out that the structure with the odd period N must have the …

A model with a ferroelectric and an antiferromagnetic phase transition is studied for the case
that symmetry breaking allows for a coupling between the electric and magnetic dipole …