Effect of pressure on thermalization of one-dimensional nonlinear chains

Abstract

Pressure plays a vital role in changing the transport properties of matter. To understand this phenomenon at a microscopic level, we here focus on a more fundamental problem, i.e., how pressure affects the thermalization properties of solids. As illustrating examples, we study the thermalization behavior of the monatomic chain and the mass-disordered chain of Fermi-Pasta-Ulam-Tsingou-$\beta$ under different strains in the thermodynamic limit. It is found that the pressure-induced change in nonintegrability results in qualitatively different thermalization processes for the two kinds of chains. However, for both cases, the thermalization time follows the same law -- it is inversely proportional to the square of the nonintegrability strength. This result suggests that pressure can significantly change the integrability of a system, which provides a new perspective for understanding the pressure-dependent thermal transport behavior.

6 pages, 4 figures

References in corpus (6)

• Uniaxial Strain in Graphene by Raman Spectroscopy: G peak splitting, Gruneisen Parameters and Sample Orientation
• Superconducting hydrides under pressure
• Fermi, Pasta, Ulam and a mysterious lady
• Non-integrability and the Fourier heat conduction law
• Universal law of thermalization for one-dimensional perturbed Toda lattices
• Thermalization of oscillator chains with onsite anharmonicity and comparison with kinetic theory

Cited by in corpus (4)

• The anti-Fermi-Pasta-Ulam-Tsingou problem in one-dimensional diatomic lattices
• From Near-Integrable to Far-from-Integrable: A Unified Picture of Thermalization and Heat Transport
• Recent progress on thermal transport in one-dimensional long-range interacting Fermi-Pasta-Ulam-Tsingou lattice systems
• Thermalization in asymmetric harmonic chains