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.

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.

Accurate prediction of alkane phase transitions involving solids is needed to prevent catastrophic pipeline blockages, improve lubrication formulations, smart insulation, and energy storage, as well bring fundamental understanding processes such artificial morphogenesis. However, simulation these challenging therefore often omitted in force field development. Here, we perform a series benchmark...

In this study, the radial distribution and gravimetric storage capacities of hydrogen on coronene (C24H12) and its Si substituted forms, C24H12, C24-nSinH12 (n= 4-24), have been investigated at 298 K and 0.1 MPa (standard situation) using (N,V,T) Monte Carlo simulation by Lennard-Jones (LJ) 12-6 potential. The results show that the increase of number of silicon substitution doesn’t have any eff...

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 report the results of calculation of diffusion coefficients for Lennard-Jones liquids, based on the idea of time-scale invariance of relaxation processes in liquids. The results were compared with the molecular dynamics data for the Lennard-Jones system and a good agreement of our theory with these data over a wide range of densities and temperatures was obtained. By calculations of the non-...