Erratum: Many-body diffusion and path integrals for identical particles [Phys. Rev. E53, 4467 (1996)]

Fast convergence of path integrals for many-body systems

We generalize a recently developed method for accelerated Monte Carlo calculation of path integrals to the physically relevant case of generic many-body systems. This is done by developing an analytic procedure for constructing a hierarchy of effective actions leading to improvements in convergence of N -fold discretized many-body path integral expressions from 1/N to 1/Np for generic p. In thi...

Moduli effects on neutrino oscillations ( published in Phys . Rev . D 54 , 1204 - 1211 , 1996 )

We point out the possibility of detecting low-energy signals of moduli in superstring theory through neutrino oscillations. The idea is based on the characteristics that the couplings of moduli are different from matter to matter. We estimate the oscillation probability both in the base line and solar neutrino oscillations. In both cases, when there is at least one modulus of which the mass is ...

From particles scale to anomalous or classical convection-diffusion models with path integrals

Path Integrals for Stochastic Neurodynamics Path Integrals for Stochastic Neurodynamics

We present here a method for the study of stochastic neurodynamics in the framework of the "Neural Network Master Equation" proposed by Cowan. We consider a model neural network composed of two{state neurons subject to simple stochastic kinetics. We introduce a method based on a spin choerent state path integral to compute the moment generating function of such a network. A formal construction ...

Erratum: Empirical many-body interatomic potential for bcc transition metals

A simple many-body interatomic potential is proposed. This is an empirical extension of the embedded-atom method (EAM). The EAM models the lattice energy and elastic compressibility using a pair interaction plus a many-body term. It does not include any contribution of many-body terms to the crystal elastic shear. This contribution is included in the model developed here. It implies a simplifie...