Fourier Law in the Alternate-Mass Hard-Core Potential Chain

Fourier law in the alternate-mass hard-core potential chain.

We study energy transport in a one-dimensional model of elastically colliding particles with alternate masses m and M. In order to prevent total momentum conservation, we confine particles with mass M inside a cell of finite size. We provide convincing numerical evidence for the validity of Fourier law of heat conduction in spite of the lack of exponential dynamical instability. Comparison with...

Fourier law in a momentum-conserving chain

We introduce a family of models for heat conduction with and without momentum conservation. They are analytically solvable in the high temperature limit and can also be efficiently simulated. In all cases Fourier Law is verified in one dimension.

A Hard Convex Core Yukawa Equation of State for Nonassociated Chain Molecules

The compressibility factor of nonassociated chain molecules composed of hard convex core Yukawa segments was derived with SAFT-VR and an extension of the Barker-Henderson perturbation theory for convex bodies. The temperature-dependent chain and dispersion compressibility factors were derived using the Yukawa potential. The effects of temperature, packing fraction, and segment number on the com...

A Stimulation-Dependent Alternate Core

An Inverse Problem for Gibbs Fields with Hard Core Potential

It is well known that for a regular stable potential of pair interaction and a small value of activity one can define the corresponding Gibbs field (a measure on the space of configurations of points in R). In this paper we consider a converse problem. Namely, we show that for a sufficiently small constant ρ1 and a sufficiently small function ρ2(x), x ∈ R , that is equal to zero in a neighborho...