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Local structure of current fluctuations in diffusive systems beyond one dimension
Rodrigo Villavicencio-Sanchez1,2, Rosemary J Harris1
1School of Mathematical Sciences, Queen Mary University of London, London E1 4NS, United Kingdom.
Physical Review. E
|April 15, 2016
Summary
This study investigates particle current fluctuations in a 2D nonequilibrium system using a lattice-based Markov process. Results reveal how lattice geometry and spatial variations impact these fluctuations, offering insights into complex system dynamics.
Area of Science:
- Statistical Mechanics
- Complex Systems
- Nonequilibrium Physics
Background:
- Understanding nonequilibrium steady states is crucial for many physical systems.
- Current fluctuations provide key insights into system dynamics and transport properties.
Purpose of the Study:
- To investigate multidimensional current fluctuations in a lattice-based Markov process.
- To analyze the impact of lattice geometry (square vs. triangular) on these fluctuations.
- To examine the relationship between global and local currents and the role of spatial inhomogeneities.
Main Methods:
- Utilized a two-dimensional zero-range process (ZRP) model.
- Implemented open boundary conditions to drive the system into a nonequilibrium steady state.
- Compared simulation results on square and triangular lattices.
Main Results:
- Demonstrated that lattice geometry significantly influences particle current fluctuations.
- Observed discrepancies in fluctuation symmetries due to spatial inhomogeneities.
- Characterized the structure of local currents in relation to global current fluctuations.
Conclusions:
- Lattice geometry and spatial inhomogeneities are critical factors in determining current fluctuation properties in nonequilibrium systems.
- The study provides a framework for understanding transport phenomena in complex, multidimensional systems.
- Findings contribute to the theoretical understanding of fluctuation relations in driven systems.
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