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The exact phase diagram for a semipermeable TASEP with nonlocal boundary jumps
KTH, Skolan för teknikvetenskap (SCI), Matematik (Inst.), Matematik (Avd.).ORCID-id: 0000-0001-6339-2230
KTH, Skolan för teknikvetenskap (SCI), Matematik (Inst.), Matematik (Avd.).ORCID-id: 0000-0002-4489-1920
2019 (Engelska)Ingår i: Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, E-ISSN 1751-8121, Vol. 52, nr 35, artikel-id 355001Artikel i tidskrift (Refereegranskat) Published
Abstract [en]

We consider a finite one-dimensional totally asymmetric simple exclusion process with four types of particles, {1, 0, 1, }, in contact with reservoirs. Particles of species 0 can neither enter nor exit the lattice, and those of species are constrained to lie at the first and last site. Particles of species 1 enter from the left reservoir into either the first or second site, move rightwards, and leave from either the last or penultimate site. Conversely, particles of species 1 enter from the right reservoir into either the last or penultimate site, move leftwards, and leave from either the first or last site. This dynamics is motivated by a natural random walk on the Weyl group of type D. We compute the exact nonequilibrium steady state distribution using a matrix ansatz building on earlier work of Arita. We then give explicit formulas for the nonequilibrium partition function as well as densities and currents of all species in the steady state, and derive the phase diagram.

Ort, förlag, år, upplaga, sidor
Institute of Physics Publishing (IOPP), 2019. Vol. 52, nr 35, artikel-id 355001
Nyckelord [en]
current, exclusion process, fat shock, nonlocal boundary jumps, phase diagram, two-species
Nationell ämneskategori
Fysik Matematik
Identifikatorer
URN: urn:nbn:se:kth:diva-262535DOI: 10.1088/1751-8121/ab2e96ISI: 000478680400001Scopus ID: 2-s2.0-85072382591OAI: oai:DiVA.org:kth-262535DiVA, id: diva2:1361497
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QC 20191016

Tillgänglig från: 2019-10-16 Skapad: 2019-10-16 Senast uppdaterad: 2019-10-16Bibliografiskt granskad

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