We study a class of interacting particle systems in which n signed particles move on the real
line. This class includes the overdamped dynamics (ie 'velocity= force') of charged particles …

The starting point of our analysis is a class of one-dimensional interacting particle systems
with two species. The particles are confined to an interval and exert a nonlocal, repulsive …

We consider a large class of interacting particle systems in one dimension described by an
energy whose interaction potential is singular and nonlocal. This class covers Riesz gases …

This paper considers the equilibrium positions of n particles in one dimension. Two forces
act on the particles; a nonlocal repulsive particle-interaction force and an external force …

We contribute to a recent series of papers on discrete-to-continuum limits of one-
dimensional particle systems governed by nonlocal and unbounded interactions. While …

In mechanical systems, it is of interest to know the onset of fracture in dependence of the
boundary conditions. Here we study a one-dimensional model which allows for an …

In this paper we derive the continuum limit of a multiple-species, interacting particle system
by proving a Γ-convergence result on the interaction energy as the number of particles tends …