Influence of nonlinear interactions and boundary effects on the propagation of energy in a one-dimensional particle chain

Abstract

A one-dimensional system (chain) of particles interacting with each other and with the substrate has been investigated by the method of computer modeling. Particles at the boundaries of the chain, which are considered separately, represent self-oscillating systems. The influence of the parameters of a system on the transfer of energy by the chain has been studied; the behavior of the system in the transient and steady-state regimes of motion has been investigated. It has been shown that the stationary states of the system are characterized by a nonuniform distribution of the average particle velocities (temperatures) squared over the chain's length. A correlation between the increase in the thermal resistance of a system and the enhancement of its structurization has been established.Introduction. The propagation of energy along one-dimensional structures has been widely investigated [1] both in connection with the problems of substantiation of the Fourier law of heat conduction [2, 3] and in view of the necessity of understanding the processes of transmission of energy in actual quasi-one-dimensional systems (biological and organic molecules, anisotropic crystals, nano-size tubes, etc.) [4][5][6]. The emphasis is on the process of propagation of energy along a one-dimensional system for which, for example, the energy flux is represented as the heat flux and is written in the form of the Fourier law