The microscopic effective pairing interaction in the S0-channel is investigated for two different values of the chemical potential μ starting from the separable form of the Paris NN-potential. It is shown that, within a high accuracy, this effective interaction can be approximated by the off-shell free T -matrix taken at the negative energy E = 2μ.

Cover page: The fth frequency breakdown (2562 particles) of a spherical icosahedron projected onto a hyperbolic surface. The shown Voronoi polygons of the particles are coloured according to the Lennard-Jones potential energy: bright is high energy, dark is low energy.

We prove that the scattering matrix at a fixed quasi–energy determines uniquely a time–periodic potential that belongs to L and that decays exponentially at infinity. Our result is new even in the time–independent case, where it was only proven for bounded exponentially decreasing potentials.

In Bartels–Lück [1] we introduced the concept of transfer reducible groups with respect to a family of subgroups. This definition is somewhat technical and recalled as Definition 0.4 below. We showed that groups that are transfer reducible over the family of virtually cyclic subgroups satisfy the Farrell–Jones Conjecture with coefficients in an additive category. For further explanations about ...

the virial coefficients can be obtained from statistical mechanics in connection with the intermolecular potentials. the intermolecular potential of polyatomic molecules is usually assumed to consist of a spherically symmetric component plus a contribution due to asphericaity of the molecular charge distribution. in this study, the second virial coefficients have been calculated for n2, co and ...

We present a systematic study of the thermodynamics of two and three-dimensional generalized Lennard-Jones (LJ) systems focusing on the relationship between the range of the potential, the system density and its dimension. We found that the existence of negative specific heats depends on these three factors and not only on the potential range and the density of the system as stated in recent co...

Holly E Holmes, Frances Wiseman, James M O'Callaghan, Jack A Wells, Victor LJ Tybulewicz, Elizabeth MC Fisher, and Mark F Lythgoe Centre for Advanced Biomedical Imaging, University College London, London, Greater London, United Kingdom, Department of Neurodegenerative Disease, Institute of Neurology, London, Greater London, United Kingdom, MRC National Institute for Medical Research, London, Gr...

We have designed several schemes to reduce the number of parameters in the problem of minimizing the total energy of Lennard Jones clusters We will discuss our schemes development in three dimensions The value of our work lies in the simplicity with which it provides a new approach to problems involving huge Lennard Jones clusters

Model calculations of Langmuir monolayers: Pressure effects on tilting behavior of idealized amphiphiles" (1996). Model amphiphiles consisting of lines of Lennard-Jones ͑LJ͒ centers are investigated to determine the effect of pressure and molecular geometry on ground-state tilting behavior. Both the amphiphile length and the intramolecular distance between LJ centers is varied. The results give g...

Physically motivated expressions for the transport cross sections describing classical scattering in the Lennard-Jones potential are proposed. These expressions, which agree with the numerical results better than to within ±1%, can be easy implemented in practical situations. Some relevant examples are provided.