Heat Conduction in One-Dimensional chain of Hard Discs with Substrate Potential

Abstract

Heat conduction of one-dimensional chain of equivalent rigid particles in the field of external on-site potential is considered. Zero diameters of the particles correspond to exactly integrable case with divergent heat conduction coefficient. By means of simple analytical model it is demonstrated that for any nonzero particle size the integrability is violated and the heat conduction coefficient converges. The result of the analytical computation is verified by means of numerical simulation in a plausible diapason of parameters and good agreement is observed

arXiv comment14 pages, 7 figures

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• Kapitza resistance in basic chain models with isolated defects
• Heat conduction in a chain of dissociating particles: effect of dimensionality
• Thermal Conduction in one dimensional ${\Phi }^4$ chains with colliding particles
• Heat conduction in a chain of colliding particles with stiff repulsive potential
• Heat conductivity in the presence of a quantized degree of freedom
• Thermal conductivity of the chain with an asymmetric pair interaction
• Mechanical control of heat conductivity in microscopic models of dielectrics