Distribution of a Second-Class Particle’s Position in the Two-Species ASEP with a Special Initial Configuration
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Springer Science and Business Media LLC
Abstract
In this paper, we consider the two-species asymmetric simple exclusion process (ASEP) consisting of N-1 first-class particles and one second-class particle. We assume that all particles are located at arbitrary positions but the second-class particle is the rightmost particle at time t = 0. We find the exact formula of the distribution of the second-class particle’s position at time t by directly using the transition probabilities of the two-species ASEP, which is a different approach from the coupling method Tracy and Widom used in [J Phys A 42:425002, 2009].
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Asymmetric simple exclusion process, Class (philosophy), Position (finance), Particle (ecology), Statistical physics, Simple (philosophy), Distribution (mathematics), Mathematics, Particle system, Physics, Combinatorics, Mathematical physics, Mathematical analysis, Computer science, Philosophy, Oceanography, Finance, Epistemology, Artificial intelligence, Economics, Geology, Operating system, type of access: open access
Citation
Lee Eunghyun, Tokebayev Zhanibek. (2023). Distribution of a Second-Class Particle’s Position in the Two-Species ASEP with a Special Initial Configuration. Journal of Statistical Physics. https://doi.org/10.1007/s10955-023-03085-8