The motion of the tagged particle in asymmetric exclusion process with long jumps
Linjie Zhao
TL;DR
This paper establishes the law of large numbers and invariance principles for a tagged particle in an asymmetric exclusion process with long jumps, providing theoretical insights into its large-scale behavior.
Contribution
It introduces new results on the asymptotic behavior of tagged particles in exclusion processes with long jumps, extending previous models.
Findings
Proves law of large numbers for the tagged particle.
Establishes invariance principles for the process.
Analyzes the process starting from equilibrium measure.
Abstract
We prove the law of large numbers and invariance principles for the tagged particle in the asymmetric exclusion process with long jumps when the process starts from its equilibrium measure.
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Taxonomy
TopicsStochastic processes and statistical mechanics · Advanced Thermodynamics and Statistical Mechanics · advanced mathematical theories