The d-dimensional complex Ginzburg-Landau (GL) model is solved according to a variational method by separating phase and amplitude. The GL transition becomes first order for high superfluid density because of phase fluctuations. We discuss its origin with various arguments showing that, in particular for d = 3, the validity of our approach lies precisely in the first-order domain.

A semiclassical method is used to study Landau damping of transverse pseudospin waves in harmonically trapped ultracold gases in the collisionless Boltzmann limit. In this approach, the time evolution of a spin is calculated numerically as it travels in a classical orbit through a spatially dependent mean field. This method reproduces the Landau damping results for spin-waves in unbounded syste...

Landau-type theories describe the observed behaviour of phase transitions in ferroelastic and co-elastic minerals and materials with a high degree of accuracy. In this review, the derivation of the Landau potential G=1/2AthetaS [coth(thetaS/T)-coth(thetaS/TC)]Q2 + 1/4BQ4 + ... is derived as a solution of the general phi4 model. The coupling between the order parameter and spontaneous strain of ...

The European Control Association was founded in 1990. Its first initiative was to establish a series of conferences. The European Control Conference (ECC) has been held bi-annually since 1991, the first one in Grenoble under the general chairmanship of Prof. Ioan Landau. He also served as the first Editor-in-Chief of the European Journal of Control (EJCON), which published its premiere issue in...

We present a modified Wang-Landau algorithm for models with continuous degrees of freedom. We demonstrate this algorithm with the calculation of the joint density of states of ferromagnet Heisenberg models and a model polymer chain. The joint density of states contains more information than the density of states of a single variable-energy, but is also much more time consuming to calculate. We ...

In an ordinary (round-robin) tournament there are n people, Pi, , Pn, each of whom plays one game against each of the other n — 1 people. No game is permitted to end in a tie, and the score of Pi is the total number Si of games won by pim By the score sequence of a given tournament is meant the set S = (slf •••,«»), where it may be assumed, with no loss of generality, that sx ^ ^ sn. Landau [3]...

The classical Vlasov-Poisson-Landau system describes dynamics of a collisional plasma interacting with its own electrostatic …eld as well as its grazing collisions. Such grazing collisions are modeled by the famous Landau (Fokker-Planck) collision kernel, proposed by Landau in 1936. We construct global unique solutions to such a system for initial data which have small weighted H norms, but can...

For equations that cannot be solved exactly, the trial function approach to modelling soliton solutions represents a useful approximate technique. It has to be supplemented with the Lagrangian technique or the method of moments to obtain a finite dimensional dynamical system which can be analyzed more easily than the original partial differential equation. We compare these two approaches. Using...