The state of the art on the analysis of axial next-nearest neighbour Ising (or ANNNI) models
in one, two, and three dimensions is reviewed. Configurational entropy is shown to play the …

This paper reviews exact results which we obtained on the discrete Frenkel-Kontorova (FK)
model and its extensions, during the past few years. These models are associated with area …

In this book we will study equations of the following form x= f (x, t; µ),(0.0. 1) and x↦→ g (x;
µ),(0.0. 2) with x∈ U⊂ Rn, t∈ R1, and µ∈ V⊂ Rp where U and V are open sets in Rn and …

When solid bodies contact and slide against each other, the frictional phenomenon occurs.
The origin of the related frictional force is studied by assuming the existence of two clean …

We present a rigorous study of the classical ground-states under boundary conditions of a
class of one-dimensional models generalizing the discrete Frenkel-Kontorova model. The …

Dynamics in friction is studied from an atomistic point of view. Friction is formulated as a
problem of whether or not a given kinetic energy for the translational motion dissipates into …

This monograph describes recent progress in modelling the transport properties of
sedimentary rock. Statistical descriptions are applied to the pore-space geometry and to the …

This book is a monograph on chaos in dissipative systems written for those working in the
physical sciences. Emphasis is on symbolic description of the dynamics and various …

Recent progress has been made in the understanding of the physical properties of
chromatin—the dense complex of DNA and histone proteins that occupies the nuclei of plant …

Because of its open hydrogen-bonded structure, ice shows many structural changes
between different crystalline forms under high pressure. Crystallographic studies of these …