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Related Experiment Videos

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.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 11, 2001
PubMed
Summary

This study reveals that heat flow in 1D lattices can exhibit multiple steady states, leading to either stable solitons or chaotic motion depending on initial conditions and heat field strength.

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Area of Science:

  • Physics
  • Condensed Matter Physics
  • Nonlinear Dynamics

Background:

  • Understanding heat transport in low-dimensional systems is crucial for materials science.
  • Nonequilibrium systems often display complex emergent behaviors not seen in equilibrium.

Purpose of the Study:

  • To investigate the steady states of heat flow in one-dimensional lattices using nonequilibrium molecular dynamics.
  • To determine the influence of heat field strength and initial conditions on system evolution.

Main Methods:

  • Development and application of a nonequilibrium molecular dynamics model.
  • Simulation of heat flow in one-dimensional lattices under varying heat field strengths.
  • Analysis of system trajectories to identify distinct steady states (soliton formation vs. chaotic motion).

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Main Results:

  • Multiple steady states were observed for a range of heat field strengths.
  • System evolution bifurcates into either stable traveling wave (soliton) formation or chaotic motion.
  • The probability of soliton formation increases sharply from zero to one over a critical heat field strength.

Conclusions:

  • Initial conditions and heat field strength critically determine heat flow behavior in 1D lattices.
  • The transition to soliton formation is sharp and occurs within a specific parameter regime.
  • This model provides insights into nonlinear transport phenomena in disordered systems.