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One-Dimensional Self-Organization and Nonequilibrium Phase Transition in a Hamiltonian System
1Department of Physics and Institute of Theoretical Physics and Astrophysics, Xiamen University, Xiamen 361005, Fujian, China.
Physical Review Letters
|February 11, 2017
Summary
This study reveals that self-organization and nonequilibrium phase transitions occur in one-dimensional Hamiltonian systems, challenging previous understanding of these phenomena in transport problems.
Area of Science:
- Statistical Mechanics
- Condensed Matter Physics
- Nonlinear Dynamics
Background:
- Self-organization and nonequilibrium phase transitions are typically observed in dissipative systems across 2D and 3D.
- The behavior of one-dimensional (1D) Hamiltonian systems regarding these phenomena is less understood.
- Investigating transport properties in 1D systems can reveal unique physical behaviors.
Purpose of the Study:
- To provide numerical evidence for self-organization and nonequilibrium phase transitions in a 1D Hamiltonian system.
- To investigate the heat conductivity and its dependence on system size and temperature difference.
- To explore the emergence of ordered structures in 1D transport phenomena.
Main Methods:
- Numerical simulations of a 1D Hamiltonian system.
- Calculation of heat conductivity by coupling system ends to heat baths at different temperatures.
- Analysis of heat conductivity scaling with system size under varying temperature differences.
Main Results:
- Below a critical temperature difference, heat conductivity scales with system size via a power law (exponent < 1).
- Above the critical temperature difference, a phase transition occurs, leading to linearly diverging heat conductivity.
- An ordered structure emerges in the system as the temperature difference exceeds the critical value.
Conclusions:
- One-dimensional Hamiltonian systems can exhibit self-organization and nonequilibrium phase transitions.
- A critical temperature difference governs the transition in heat transport behavior and structure formation.
- These findings open new avenues for studying transport phenomena in one dimension.
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