Bernardo N. B. de Lima

The Mayer Series of the Lennard–Jones Gas: Improved Bounds for the Convergence Radius

We provide a lower bound for the convergence radius of the Mayer series of the Lennard–Jones gas which strongly improves on the classical bound obtained by Penrose and Ruelle 1963. To obtain this result we use an alternative estimate recently proposed by Morais et al. (J Stat Phys 2014) for a restricted class of stable and tempered pair potentials (namely those which can be written as the sum of a non-negative potential plus an absolutely integrable and stable potential) combined with a method developed by Locatelli and Schoen (J Glob Optim 22, 175–190 2002) for establishing a lower bound for the minimal interatomic distance between particles interacting via a Morse potential in a cluster of minimum-energy configurations.

A Remark on Monotonicity in Bernoulli Bond Percolation

Consider an independent bond percolation model on the

On Stable Pair Potentials with an Attractive Tail, Remarks on Two Papers by A. G. Basuev

d

On the Compatibility of Binary Sequences

d-dimensional hypercubic lattice,

On long range percolation with heavy tails.

d\geqslant 2

Critical point and percolation probability in a long range site percolation model on

d⩾2, with parameter