We review what is known, unknown, and expected about the mathematical properties of
Coulomb and Riesz gases. Those describe infinite configurations of points in R d interacting …

Nobel Lecture: Topological defects and phase transitions Page 1 Nobel Lecture: Topological
defects and phase transitions * John Michael Kosterlitz Brown University, Providence, Rhode …

The phase diagram of two-dimensional continuous particle systems is studied using the
event-chain Monte Carlo algorithm. For soft disks with repulsive power-law interactions∝ rn …

We study the melting of quasi-two-dimensional colloidal hard spheres by considering a tilted
monolayer of particles in sedimentation-diffusion equilibrium. In particular, we measure the …

We have studied the crystallization behavior of colloidal cubes by means of tunable
depletion interactions. The colloidal system consists of novel micron-sized cubic particles …

This article reviews, from a very personal point of view, the origins and the early work on
transitions driven by topological defects such as vortices in the two dimensional planar rotor …

We present an approach to the melting of graphene based on nucleation theory for a first
order phase transition from the two-dimensional (2D) solid to the 3D liquid via an …

Recent investigations of the phase diagram of spherical, purely repulsive, active particles
established the existence of a transition from a liquidlike to a solidlike phase analogous to …

Soft matter covers a wide range of materials based on linear or branched polymers, gels and
rubbers, amphiphilic (macro) molecules, colloids, and self-assembled structures. These …

In a recent commentary, JM Kosterlitz described how D. Thouless and he got motivated to
investigate melting and suprafluidity in two dimensions [Kosterlitz JM (2016) J Phys …