In this paper we embark once more on the current discussion concerning the appropriate expression for the Lagrangian occurring in the action in the functional integral representation of continuous Markov processes. The equivalent differential equation representation of diffusion processes, that...

In this paper a low-energy-electron diffraction theory for molecular crystals is presented. The influence of the surface Frenkel excitons on the intensity of the (00) beam is studied.

We present a comparison of the Fokker-Planck equations obtained by the Itô prescription and by the Stratonovich prescription for physical systems described by a Langevin equation with non-additive fluctuations. Our main conclusion is that the Stratonovich prescription is the one that should...

It is shown that the thermodynamic properties and the distribution functions of the Ising systems on the Cayley tree are generally obtained in terms of the solution of a recurrence formula, when the interaction is of finite range. For the Bethe lattice where the boundary effects are ignored, the...

Fluctuation-dissipation theorems for the random force and the random torque on a Brownian particle of arbitrary shape immersed in a fluid close to its critical point are derived from fluctuating hydrodynamics, taking also into account the temperature fluctuations in the fluid. It is assumed that...

A rigid lattice gas model of solid-liquid, liquid-gas, and solid-gas transformations is proposed. The total free energy is separated into a lattice part and a vibrational correction part. It is reported that the vibrational part plays an important role in obtaining the gas, liquid and solid...

It is shown that the construction of N-soliton periodic solutions of the Benjamin-Ono equation can be reduced to solving an Nth order algebraic equation. If the period is infinite the solution is explicit and it is unnecessary to solve any algebraic equation.

A fluid mixture consisting of molecules with permanent electric dipole moment and scalar polarizability is described by means of correlation functions. To analyse the two-particle correlation functions we extend the graph-theoretical conception developed by Wertheim in the case of multicomponent...

For a polyatomic gas simple expressions have been derived for the thermal conductivity as well as for the variation of the thermal conductivity as a function of an external field. This has been achieved by using the total heat transport as a trial function in the kinetic theory instead of the...

We study the critical behaviour of the hyperfine field hH which is observed to depend on the probing atom and to differ from the bulk. A classical Ising-type model is used where the probing atom is assumed to change locally the pair interaction. The quantities determining hH are expressed in...