8 papers
The Lee-Yang property of the Blume-Capel model
Yuri Kozitsky, Yurij Holovatch
The Lee-Yang theory is based on the theorem concerning a property of the ferromagnetic Ising model partition function proved by T. D. Lee and C. N. Yang in 1952. It provides powerf…
Staggering domino-like blast front motion in a one-dimensional cold gas
Taras Holovatch, Yuri Kozitsky, Krzysztof Pilorz +1
One-dimensional alternating particle systems are widely used to study interconnections between the hydrodynamics of blast waves in a gas-like medium and the Newtonian dynamics of i…
100 Glorious Years of the Ising Model
Muktish Acharyya, Yurij Holovatch, Ferenc Igloi
This is an editorial article based on the reseaches on the Ising model over the last 100 years.
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 shape of Gaussian scale-free polymer networks
V. Blavatska, Yu. Holovatch
We consider the model of complex hyperbranched polymer structures formed on the basis of scale-free graphs, where functionalities (degrees) of nodes obey a power law decaying p…