In this work, we prove the existence and uniqueness of a quasi-stationary distribution for hypoelliptic Hamiltonian dynamics system N particles in $${\mathbb {R}}^d$$ interacting with Lennard-Jones type potentials or repulsive Coulomb potentials.

Smit and Frenkel’ have shown that the phase diagram of the two-dimensional Lennard-Jones fluid depends largely on the details of the truncation of the potential. In this Note, Gibbs-ensemble calculations are reported for the three-dimensional Lennard-Jones fluid. As expected, the phase diagram for this system also depends significantly on the details of the truncation. The Lennard-Jones potenti...

The pressure-induced frequency shift of the CH4 and N2 bands is interpreted by quantitatively attributing to attractive repulsive solvation mean-force variation using Lennard–Jones 6-12 potential perturbed hard-sphere fluid model.

In a recent paper [S. Khrapak, Molecules 25, 3498 (2020)], the longitudinal and transverse sound velocities of conventional Lennard–Jones system at liquid–solid coexistence were calculated. It was shown that remain almost invariant along boundary lines their magnitudes are comparable with those repulsive soft-sphere hard-sphere models fluid–solid phase transition. This implies attraction does n...

We investigate numerically the structure, thermodynamics, and relaxation behavior of a family of (n, 6) Lennard-Jones-like glass-forming binary mixtures interacting via pair potentials with variable softness, fixed well depth, and fixed well depth location. These constraints give rise to progressively more negative attractive tails upon softening, for separations greater than the potential ener...

This series of papers is devoted to identifying and explaining the properties of strongly correlating liquids, i.e., liquids with more than 90% correlation between their virial W and potential energy U fluctuations in the NV T ensemble. Paper IV [N. Gnan et al., J. Chem. Phys. 131, 234504 (2009)] showed that strongly correlating liquids have “isomorphs”, which are curves in the phase diagram al...

This series of papers is devoted to identifying and explaining the properties of strongly correlating liquids, i.e., liquids with more than 90% correlation between their virial W and potential energy U fluctuations in the NVT ensemble. Paper IV [N. Gnan et al., J. Chem. Phys. 131, 234504 (2009)] showed that strongly correlating liquids have "isomorphs," which are curves in the phase diagram alo...

We explain the findings by Di Leonardo et al. [Phys. Rev. Lett. 84, 6054 (2000)10.1103/PhysRevLett.84.6054] that the effective temperature of a Lennard-Jones glass depends only on the final density in the volume and/or temperature jump that produces the glass. This is not only a property of the Lennard-Jones liquid, but a feature of all strongly correlating liquids. For such liquids data from a...