output
20182026
most citedEquation of state for all regimes of a fluid: from gas to liquid

15 citations

5 papers

cond-mat.other2026

Enhanced approach to calculation of cluster integrals for lattice models of matter

M. V. Ushcats, S. Yu. Ushcats

The study is devoted to enhancing the existing techniques of calculating Mayer's expansion cluster integrals for lattice models of matter. Two important optimizations are proposed:…

cond-mat.stat-mech2025★ 2 cited

Advances of Mayer's cluster approach in quantitative theoretical description of phase transitions for various lattice models of matter

M. V. Ushcats, L. A. Bulavin, S. Yu. Ushcats +4

Resent achievements in statistical theory, namely, a possibility to reproduce almost unlimited Mayer's activity series based on the information about their convergence radius, on t…

cond-mat.dis-nn2020★ 6 cited

"Paris car parking problem" for partially ordered discorectangles on a line

Nikolai I. Lebovka, Mykhailo O. Tatochenko, Nikolai V. Vygornitskii +1

The random sequential adsorption (RSA) of identical elongated particles (discorectangles) on a line ("Paris car parking problem") was studied numerically. An off-lattice model with…

cond-mat.stat-mech2018★ 14 cited

Evidence for the first-order phase transition at the divergence region of activity expansions

Michael V. Ushcats, Leonid A. Bulavin

On the example of a lattice-gas model, a convincing confirmation is obtained for the direct relationship between the condensation phenomenon and divergent behavior of the virial ex…

cond-mat.stat-mech2018★ 15 cited

Equation of state for all regimes of a fluid: from gas to liquid

M. V. Ushcats, S. Yu. Ushcats, L. A. Bulavin +1

The study of Mayer's cluster expansion (CE) for the partition function demonstrates a possible way to resolve the problem of the CE non-physical behavior at condensed states of flu…