74 citations · 403 across the 33 of their papers we have counts for
33 papers
A symplectic integrator for molecular dynamics on a hypersphere
J. -M. Caillol
We present a reversible and symplectic algorithm called ROLL, for integrating the equations of motion in molecular dynamics simulations of simple fluids on a hypersphere $\mathcal{…
Maxwell field in a two-dimensional polar fluid in the presence of an external field : a Monte-Carlo study
Jean-Michel Caillol, Dominique Levesque, Jean-Jacques Weis
We study a two-dimensional system of dipolar hard disks in the presence of a uniform external electric field by Monte Carlo simulations in a square with…
Monte Carlo Simulations of the two-dimensional dipolar fluid
Jean-Michel Caillol, Jean-Jacques Weis
We study a two-dimensional fluid of dipolar hard disks by Monte Carlo simulations in a square with periodic boundary conditions and on the surface of a sphere. The theory of the di…
Electrostatics on the sphere with applications to Monte Carlo simulations of two dimensional polar fluids
Jean-Michel Caillol
We present two methods for solving the electrostatics of point charges and multipoles on the surface of a sphere, \textit{i.e.} in the space , with applications to…
A new dipolar potential for numerical simulations of polar fluids on the hypersphere
Jean-Michel Caillol, Martin Trulsson
We present a new method for Monte Carlo or Molecular Dynamics numerical simulations of three dimensional polar fluids. The simulation cell is defined to be the surface of the north…
Critical line of the scalar field theory on a 4D cubic lattice in the local potential approximation
Jean-Michel Caillol
We establish the critical line of the one-component (or Landau-Ginzburg) model on a simple four dimensional cubic lattice. Our study is performed in the framework of the non-…