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Updated: Aug 10, 2026

Characterization of Thermal Transport in One-dimensional Solid Materials
Published on: January 26, 2014
Heat conduction in a one-dimensional chain of hard disks with substrate potential
1Faculty of Mechanical Engineering, Technion-Israel Institute of Technology, Haifa 32000, Israel.
Abstract:
Heat conduction in a one-dimensional chain of equivalent rigid particles in the field of the external on-site potential is considered. The zero diameters of the particles correspond to the integrable case with the divergent heat conduction coefficient. By means of a 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.
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Conduction, accounting for approximately 3% of body heat loss at rest, is the process of exchanging heat between molecules of two materials in direct contact. This can result in both heat loss and gain. For instance, when the body is submerged in water, which conducts heat 20 times more effectively than air, it can either lose or gain significant heat.

