Duality from integrability: annihilating random walks with pair deposition

Schuetz, G. M.

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Duality from integrability: annihilating random walks with pair deposition

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Author(s):	Schuetz, G. M. ^[1] Total Authors: 1
Affiliation:	^[1] Forschungszentrum Julich, Inst Biol Informat Prozesse 5, Theoret Phys Lebenden Mat, D-52425 Julich - Germany Total Affiliations: 1
Document type:	Journal article
Source:	Journal of Physics A-Mathematical and Theoretical; v. 53, n. 35 SEP 4 2020.
Web of Science Citations:	0
Abstract
We study a system of interacting random walks in one dimension that annihilate immediately when two particles meet on the same site. In addition, pairs of particles are created on neighbouring sites. A duality with independent two-level systems which arises from the integrability of the model is proved. The duality function is determinantal and has the form of a matrix product. We use this duality to compute the exact current distribution. (AU)

FAPESP's process:	17/20696-0 - From interacting particle systems to topological data analysis
Grantee:	Vladimir Belitsky
Support Opportunities:	Research Grants - Visiting Researcher Grant - International


FAPESP's process:	17/10555-0 - Stochastic modeling of interacting systems
Grantee:	Fabio Prates Machado
Support Opportunities:	Research Projects - Thematic Grants

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