Density and current profiles in Uq(A2                             (1)) zero range process

A. Kuniba; V. V. Mangazeev

doi:10.1016/j.nuclphysb.2017.07.001

Density and current profiles in U_q(A₂ ⁽¹⁾) zero range process

A. Kuniba^*, V. V. Mangazeev

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

The stochastic R matrix for U_q(A_n ⁽¹⁾) introduced recently gives rise to an integrable zero range process of n classes of particles in one dimension. For n=2 we investigate how finitely many first class particles fixed as defects influence the grand canonical ensemble of the second class particles. By using the matrix product stationary probabilities involving infinite products of q-bosons, exact formulas are derived for the local density and current of the second class particles in the large volume limit.

Original language	English
Pages (from-to)	148-185
Number of pages	38
Journal	Nuclear Physics B
Volume	922
DOIs	https://doi.org/10.1016/j.nuclphysb.2017.07.001
Publication status	Published - Sept 2017

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10.1016/j.nuclphysb.2017.07.001

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title = "Density and current profiles in Uq(A2 (1)) zero range process",

abstract = "The stochastic R matrix for Uq(An (1)) introduced recently gives rise to an integrable zero range process of n classes of particles in one dimension. For n=2 we investigate how finitely many first class particles fixed as defects influence the grand canonical ensemble of the second class particles. By using the matrix product stationary probabilities involving infinite products of q-bosons, exact formulas are derived for the local density and current of the second class particles in the large volume limit.",

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AU - Kuniba, A.

AU - Mangazeev, V. V.

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N2 - The stochastic R matrix for Uq(An (1)) introduced recently gives rise to an integrable zero range process of n classes of particles in one dimension. For n=2 we investigate how finitely many first class particles fixed as defects influence the grand canonical ensemble of the second class particles. By using the matrix product stationary probabilities involving infinite products of q-bosons, exact formulas are derived for the local density and current of the second class particles in the large volume limit.

AB - The stochastic R matrix for Uq(An (1)) introduced recently gives rise to an integrable zero range process of n classes of particles in one dimension. For n=2 we investigate how finitely many first class particles fixed as defects influence the grand canonical ensemble of the second class particles. By using the matrix product stationary probabilities involving infinite products of q-bosons, exact formulas are derived for the local density and current of the second class particles in the large volume limit.

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DO - 10.1016/j.nuclphysb.2017.07.001

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VL - 922

SP - 148

EP - 185

JO - Nuclear Physics B

JF - Nuclear Physics B

ER -

Density and current profiles in U_q(A₂ ⁽¹⁾) zero range process

Abstract

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