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1The Abdus Salam International Centre for Theoretical Physics, Condensed Matter Group, Strada Costieru 11, P.O. Box 586, I-34100 Trieste, Italy. sellitto@ictp.trieste.it
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 28, 2002
Summary
Boundary-induced transport in particle systems shows unique behaviors like rectification and negative resistance. A solvable 1D model with anomalous diffusion reveals a microscopic realization in a 3D driven lattice gas.
Area of Science:
- Statistical physics
- Condensed matter physics
- Non-equilibrium systems
Background:
- Anomalous diffusion in particle systems can lead to complex transport phenomena.
- Boundary driving forces significantly influence system behavior, causing effects like rectification and hysteresis.
Purpose of the Study:
- To investigate boundary-induced transport phenomena in systems exhibiting anomalous diffusion.
- To analyze a solvable one-dimensional (1D) model with a power-law diffusion coefficient coupled to reservoirs with differing chemical potentials.
Main Methods:
- Examination of a solvable 1D system with anomalous diffusion.
- Development of a microscopic model using a 3D driven lattice gas with kinetic constraints.
Main Results:
- Demonstration of rectification, negative resistance, and hysteresis in boundary-driven transport.
- Identification of a 3D driven lattice gas model as a microscopic realization for the 1D anomalous diffusion system.
- Absence of energy barriers and preservation of local microscopic reversibility in the lattice gas model.
Conclusions:
- The study provides a solvable framework for understanding complex transport in anomalous diffusion systems.
- A specific lattice gas model offers a microscopic basis for observed macroscopic transport phenomena.
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