The metallization of melted iodine observed above the temperature of 900K and pressure of 3GPa (V.V. Brazhkin et al., High Press. Res. 6 (1992) 363) has been interpreted using a percolation model of overlapping electron shells (classically accessible spheres) of virtual atoms in molecules. The...

The theory, elaborated in previous works is applid to the calculation of liquid water wideband (0 ν/cm−1 1000) dielectric spectra. These comprise the Debye relaxation region at the centimeter/millimeter wavelengths and the two-humped absorption coefficient frequency dependence in the far...

The static dielectric constant ε0 was calculated for structures of liquid water obtained from Reverse Monte Carlo (RMC) simulations driven by partial radial pair correlation functions on one hand and by neutron- and X-ray structure factors on the other. For this purpose, RMC simulations with...

Molecular transport in phase space is crucial for chemical reactions because it defines how pre-reactive molecular configurations are found during the time evolution of the system. Using Molecular Dynamics (MD) simulated atomistic trajectories we test the assumption of the normal diffusion in...

We consider a vector lattice model for mixtures of water, oil and amphiphile, and it extends to the (unbalanced) case of different water and oil volume fractions, an approach previously developed for the balanced case. After an exact summation of the orientational degrees of freedom we get an...

We show, analytically and numerically, that wealth distribution in the Bouchaud–Mézard network model of the economy is described by a three-parameter generalized inverse gamma distribution. In the mean-field limit of a network with any two agents linked, it reduces to the inverse gamma...

We study the Markov property of processes described by generalized Fokker–Planck equations that are nonlinear with respect to probability densities such as mean field Fokker–Planck equations and Fokker–Planck equations related to generalized thermostatistics. We show that their transient...

We study a novel five-species system on two-dimensional lattices when each species have two superior and two inferior partners. Here we simplify the huge parameter space of predation probability to only two parameters. Both of Monte Carlo simulation and Mean Field Theory reveal that two of...

A dynamical mean field theory is used to predict the end-monomer mean square displacement of single-stranded DNA and finally estimate two important parameters—the persistence length lp and the length per base ld. Both parameters are set free, and finally reach optimum values by fitting the...

In the context of inference with expectation constraints, we propose an approach based on the “loopy belief propagation” algorithm (lpb), as a surrogate to an exact Markov Random Field (mrf) modelling. A prior information composed of correlations among a large set of N variables, is encoded...