Active matter encompasses systems whose individual constituents dissipate energy to exert
propelling forces on their environment. These systems exhibit dynamical phenomena with …

The Ornstein-Zernike equation is a powerful tool in liquid state theory for predicting structural
and thermodynamic properties of fluids. Combined with a suitable closure, it has been …

We provide a comprehensive quantitative analysis of localized and extended topological
defects in the steady state of 2D passive and active repulsive Brownian disk systems. We …

Modern theories of melting of two-dimensional systems are discussed that are mainly based
on the concepts of the Berezinskii–Kosterlitz–Thouless (BKT) theory of phase transitions in …

Phase behaviours of two-dimensional (2D) systems constitute a fundamental topic in
condensed matter and statistical physics. Although hard polygons and interactive point-like …

Monolayer and two-dimensional (2D) systems exhibit rich phase behavior, compared with
3D systems, in particular, due to the hexatic phase playing a central role in melting …

The determination of the pair potential v (r) that accurately yields an equilibrium state at
positive temperature T with a prescribed pair correlation function g 2 (r) or corresponding …

The solid–liquid transition of biological tissues is numerically investigated in the presence of
Ornstein–Uhlenbeck noise. We demonstrate that the melting scenario of the system is …

Two-dimensional melting is an important phase behavior, but the impact of deformability on
the solid–liquid transition remains an open question. To address this, we conducted a …

Generative models are a promising tool to address the sampling problem in multi-body and
condensed-matter systems in the framework of statistical mechanics. In this work, we show …