EXTENSION OF TRANSITION PROBABILITY FORMULAS IN MULTI-SPECIES ASYMMETRIC SIMPLE EXCLUSION PROCESS
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Date
2024-04-29
Authors
Kassymkhanov, Nariman
Journal Title
Journal ISSN
Volume Title
Publisher
Nazarbayev University School of Science and Humanities
Abstract
The Asymmetric Simple Exclusion Process (ASEP) is a mathematical model used
to describe the movement of particles in a one-dimensional system. This work explores
multi-species ASEP dynamics, where, in contrast to the single-species model,
additional rules regulate interactions between various particle kinds. Tracy and Widom
introduced a transition probability formula for single-species ASEP, with subsequent
advancements by Lee. Building upon these foundations, we extend Lee’s work, presenting
transition probability formulas for different initial conditions, thus expanding
our knowledge of ASEP dynamics. By explaining these equations, we improve the
understanding of matrix elements inside the ASEP framework, leading to deeper insights
across various fields of application.
Description
Keywords
Type of access: Open access, Multi-species ASEP
Citation
Kassymkhanov, Nariman. (2024) Extension of Transition Probability Formulas in Multi-Species Asymmetric Simple Exclusion Process. Nazarbayev University School of Science and Humanities