Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume 53, Issue 35, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/1751-8121/ab9e2c
Keywords
duality; annihilating random walks; current distribution; large deviations
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Funding
- Coordenacao de Aperfeicoamento de Pessoal de Nivel Superior-Brazil (CAPES) [001]
- Fundacao de Amparo a Pesquisa do Estado de Sao Paulo Research (FAPESP) [2017/20696-0, 2017/10555-0]
- Conselho Nacional de Desenvolvimento Cientifico e Tecnologico (CNPq) [309239/2017-6]
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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.
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