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Updated: Aug 15, 2026

Characterization of Thermal Transport in One-dimensional Solid Materials
Published on: January 26, 2014
Multiple nonequilibrium steady states for one-dimensional heat flow
F Zhang1, D J Isbister, D J Evans
1School of Physics, University of New South Wales, University College, ADFA, Canberra, ACT 2612, Australia.
Abstract:
A nonequilibrium molecular dynamics model of heat flow in one-dimensional lattices is shown to have multiple steady states for any fixed heat field strength f(e) ranging from zero to a certain positive value. We demonstrate that, depending on the initial conditions, there are at least two possibilities for the system's evolution: (i) formation of a stable traveling wave (soliton), and (ii) chaotic motion throughout the entire simulation. The percentage of the soliton-generating trajectories is zero for small field strength f(e), but increases sharply to unity over a critical region of the parameter f(e).
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