Meromorphic traveling wave solutions of the complex cubic-quintic Ginzburg-Landau equation

We look for singlevalued solutions of the squared modulus M of the traveling wave reduction of the complex cubic-quintic Ginzburg-Landau equation. Using Clunie's lemma, we first prove that any meromorphic solution M is necessarily elliptic or degenerate elliptic. We then give the two canonical decompositions of the new elliptic solution recently obtained by the subequation method.Comment: 14 pages, no figure, to appear, Acta Applicandae Mathematica

Dependence of the distribution function of systems with respect to the number of particles in a large canonical ensemble on the dimensions of the system

Calculations of the distribution function of systems of finite dimensions with respect to the number of particles in a large canonical ensemble have been carried out under differently assigned boundary conditions for one-dimensional lattice models of adsorption. The nature of the dependence of this function on the dimensions of the system has been discussed

The peculiarities of phase transitions in adsorbed layers

Two-dimensional phase transitions are the most interesting phenomena discovered in the field of physical adsorption. The purpose of the article is to show the main changes that occur in our understanding of the nature of various “two-dimensional” phases recently. The special attention pays here to the results obtained by computer simulation of two classical adsorption systems N2/graphite and C6H6/graphite. Approximation of two-dimensional behaviour, effects of influence of the periodicity of adsorption potential and effects of anisotropy of intermolecular potential on the properties of adsorbed layers are reviewed. © 1993 IUPA

Distribution function of lattice systems of finite dimensions with respect to the number of particles in a large canonical ensemble

One method to identify a phase transition of the first kind is to study the distribution function of a system with respect to the number of particles in a large canonical ensemble, i.e., the probability that the system contains N particles. The presence of multiple extrema in the distribution function attest to the possibility of phase transitions. Recurrence relations which make it possible to calculate the distribution function of systems with respect to the number of particles in a large canonical ensemble have been obtained for one-dimensional lattice systems of finite dimensions

Distribution function of lattice systems of finite dimensions with respect to the number of particles in a large canonical ensemble

One method to identify a phase transition of the first kind is to study the distribution function of a system with respect to the number of particles in a large canonical ensemble, i.e., the probability that the system contains N particles. The presence of multiple extrema in the distribution function attest to the possibility of phase transitions. Recurrence relations which make it possible to calculate the distribution function of systems with respect to the number of particles in a large canonical ensemble have been obtained for one-dimensional lattice systems of finite dimensions

Dependence of the distribution function of systems with respect to the number of particles in a large canonical ensemble on the dimensions of the system

Calculations of the distribution function of systems of finite dimensions with respect to the number of particles in a large canonical ensemble have been carried out under differently assigned boundary conditions for one-dimensional lattice models of adsorption. The nature of the dependence of this function on the dimensions of the system has been discussed

Distribution function of finite-size lattice systems per particle in the grand canonical ensemble

The relationship of the size of finite lattice systems and their distribution functions per particle in the grand canonical ensemble is considered. Connections between the conditional distribution functions of the one-dimensional systems of different sizes are expressed in terms of recursion expressions for different boundary conditions. The application of the proposed method of computation of distribution functions per particle in the grand canonical ensemble shows that for one-dimensional finite-size systems with interactions between nearest-neighbors, phenomena analogous to first-order phase transitions can be observed. © 1991 American Chemical Society