As a result of nonequilibrium forces, purely repulsive self-propelled particles undergo
macrophase separation between a dense and a dilute phase. We present a thorough study …

ABSTRACT A tutorial introduction to the statistical mechanics of phase transitions and phase
coexistence is presented, starting out from equilibrium systems and nonequilibrium steady …

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 …

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 …

We elucidate the interplay between diverse two-dimensional melting pathways and
establish solid-hexatic and hexatic-liquid transition criteria via the numerical simulations of …

The phase diagram of the prototypical two-dimensional Lennard-Jones (LJ) system, while
extensively investigated, is still debated. In particular, there are controversial results in the …

For performing regression tasks involved in various physics problems, enhancing the
precision or equivalently reducing the uncertainty of regression results is undoubtedly one of …

We experimentally investigate the nature of 2D phase transitions in a quasi-2D granular
fluid. Using a surface decorated with periodically spaced dimples we observe interfacial …

The effect of out-of-plane positional freedom is examined on the stability of two-dimensional
(2D) nematic order of hard non-spherical particles using the second virial density-functional …