6 papers
The Lee-Yang property of isotropic vector ferromagnets and lattice fields
Yuri Kozitsky
The Lee-Yang property of a given spin model means that its partition function has purely imaginary zeros as a function of an external magnetic field. A similar property is also use…
50 years of Yukhnovskii's critical point theory: its place in the constant flow of theoretical physics
Yu. Kozitsky
Half a century ago, Ihor Yukhnovskii elaborated a method of studying the critical point of the three-dimensional Ising model based on a layer-by-layer integration in the space of c…
The stochastic evolution of an infinite population with logistic-type interaction
Yuri Kozitsky, Michael Röckner, Michael Röckner
An infinite population of point entities dwelling in the habitat $X=\mathds{R}^d$ is studied. Its members arrive in and depart from at random. The departure rate has a term cor…
Breakdown of hydrodynamics in a one-dimensional cold gas
Taras Holovatch, Yuri Kozitsky, Krzysztof Pilorz +1
The following model is studied analytically and numerically: point particles with masses () are distributed over the positive half-axis. Their dynamics is…
Effective and asymptotic scaling in a one-dimensional billiard problem
T. Holovatch, Yu. Kozitsky, K. Pilorz +1
The emergence of power laws that govern the large-time dynamics of a one-dimensional billiard of point particles is analysed. In the initial state, the resting particles are pl…
On the Lee-Yang property of some ferromagnets
Yuri Kozitsky
According to the Lieb-Sokal theorem, the partition function, , of a ferromagnetic spin model has the Lee-Yang property if the single-spin partition function has it. In this note…