119 citations · 256 across the 20 of their papers we have counts for
9 papers · 1 filter
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 in…
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…
Partition function zeros for the Blume-Capel model on a complete graph
Yulian Honchar, Mariana Krasnytska, Bertrand Berche +2
In this paper we study finite-size effects in the Blume-Capel model through the analysis of the zeros of the partition function. We consider a complete graph and make use of the be…
Critical and tricritical singularities from small-scale Monte Carlo simulations: The Blume-Capel model in two dimensions
Leïla Moueddene, Nikolaos G Fytas, Yurij Holovatch +2
We show that the study of critical properties of the Blume-Capel model at two dimensions can be deduced from Monte Carlo simulations with good accuracy even for small system sizes…
Classical phase transitions in a one-dimensional short-range spin model induced by entropy depletion or complex fields
Petro Sarkanych, Yurij Holovatch, Ralph Kenna
Ising's solution of a classical spin model famously demonstrated the absence of a positive-temperature phase transition in one-dimensional equilibrium systems with short-range inte…
Partition function zeros for the Ising model on complete graphs and on annealed scale-free networks
M. Krasnytska, B. Berche, Yu. Holovatch +1
We analyze the partition function of the Ising model on graphs of two different types: complete graphs, wherein all nodes are mutually linked and annealed scale-free networks for w…
Phase transitions in the Potts model on complex networks
M. Krasnytska, B. Berche, Yu. Holovatch
The Potts model is one of the most popular spin models of statistical physics. The prevailing majority of work done so far corresponds to the lattice version of the model. However,…