Duality from integrability: annihilating random walks with pair deposition

Autor(es)

Schuetz, G. M. ^[1]

Afiliação do(s) autor(es)

^[1] Forschungszentrum Julich, Inst Biol Informat Prozesse 5, Theoret Phys Lebenden Mat, D-52425 Julich - Germany

• Tipo de documento: Artigo Científico
• Fonte: Journal of Physics A-Mathematical and Theoretical; v. 53, n. 35 SEP 4 2020.
• Citações Web of Science: 0

Resumo

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)

• Processo FAPESP: 17/20696-0 - De sistemas de partículas interagentes a análise topológica de dados
• Beneficiário: Vladimir Belitsky
• Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Internacional
• Processo FAPESP: 17/10555-0 - Modelagem estocástica de sistemas interagentes
• Beneficiário: Fabio Prates Machado
• Modalidade de apoio: Auxílio à Pesquisa - Temático