Density and current profiles in U_q(A^{(1)}_2) zero range process
Density and current profiles in U_q(A^{(1)}_2) zero range process
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U_q(A^{(1)}_2) 零范围过程中的密度和电流分布
DOI：
10.1016/j.nuclphysb.2017.07.001
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发表时间：
2017
期刊：
影响因子：
--
通讯作者：
V. V. Mangazeev
中科院分区：
文献类型：
--
作者：
A. Kuniba;V. V. Mangazeev
最近引入的Uq（An（1））的随机R矩阵，给出了一维n类粒子的零程可积过程.当n= 2时，我们研究了有多少个第一类粒子被固定为缺陷对第二类粒子的巨正则系综的影响。利用q玻色子无穷乘积的矩阵乘积定态概率，导出了大体积极限下第二类粒子的局域密度和流的精确公式.
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.