Dynamic Matrix Product Ansatz and Bethe Ansatz Equation for Asymmetric Exclusion Process with Periodic Boundary

Journal of the Physical Society of Japan ◽

10.1143/jpsj.66.279 ◽

1997 ◽

Vol 66 (2) ◽

pp. 279-282 ◽

Author(s):

Tomohiro Sasamoto ◽

Miki Wadati

Keyword(s):

Bethe Ansatz ◽

Periodic Boundary ◽

Exclusion Process ◽

Asymmetric Exclusion Process ◽

Matrix Product ◽

Matrix Product Ansatz ◽

Dynamic Matrix ◽

Asymmetric Exclusion

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INTEGRABILITY CONDITION ON THE BOUNDARY PARAMETERS OF THE ASYMMETRIC EXCLUSION PROCESS AND MATRIX PRODUCT ANSATZ

Trends in Differential Geometry, Complex Analysis and Mathematical Physics ◽

10.1142/9789814277723_0002 ◽

2009 ◽

Author(s):

BOYKA ANEVA

Keyword(s):

Integrability Condition ◽

Exclusion Process ◽

Asymmetric Exclusion Process ◽

Matrix Product ◽

Matrix Product Ansatz ◽

Asymmetric Exclusion

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Derivation of a matrix product representation for the asymmetric exclusion process from the algebraic Bethe ansatz

Journal of Physics A General Physics ◽

10.1088/0305-4470/39/34/004 ◽

2006 ◽

Vol 39 (34) ◽

pp. 10647-10658 ◽

Author(s):

O Golinelli ◽

K Mallick

Keyword(s):

Bethe Ansatz ◽

Exclusion Process ◽

Asymmetric Exclusion Process ◽

Matrix Product ◽

Product Representation ◽

Algebraic Bethe Ansatz ◽

Asymmetric Exclusion

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The matrix product solution of the multispecies partially asymmetric exclusion process

Journal of Physics A Mathematical and Theoretical ◽

10.1088/1751-8113/42/16/165004 ◽

2009 ◽

Vol 42 (16) ◽

pp. 165004 ◽

Author(s):

S Prolhac ◽

M R Evans ◽

K Mallick

Keyword(s):

Exclusion Process ◽

Asymmetric Exclusion Process ◽

Matrix Product ◽

Asymmetric Exclusion ◽

Product Solution

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Bethe ansatz solution for a defect particle in the asymmetric exclusion process

Journal of Physics A General Physics ◽

10.1088/0305-4470/32/26/303 ◽

1999 ◽

Vol 32 (26) ◽

pp. 4833-4850 ◽

Author(s):

B Derrida ◽

M R Evans

Keyword(s):

Bethe Ansatz ◽

Exclusion Process ◽

Asymmetric Exclusion Process ◽

Bethe Ansatz Solution ◽

Asymmetric Exclusion

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Bethe Ansatz Solution of the Asymmetric Exclusion Process with Open Boundaries

Physical Review Letters ◽

10.1103/physrevlett.95.240601 ◽

2005 ◽

Vol 95 (24) ◽

Author(s):

Jan de Gier ◽

Fabian H. L. Essler

Keyword(s):

Bethe Ansatz ◽

Exclusion Process ◽

Asymmetric Exclusion Process ◽

Open Boundaries ◽

Bethe Ansatz Solution ◽

Asymmetric Exclusion

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Matrix product solution of a left-permeable two-species asymmetric exclusion process

Physical Review E ◽

10.1103/physreve.97.012151 ◽

2018 ◽

Vol 97 (1) ◽

Author(s):

Arvind Ayyer ◽

Caley Finn ◽

Dipankar Roy

Keyword(s):

Exclusion Process ◽

Asymmetric Exclusion Process ◽

Matrix Product ◽

Asymmetric Exclusion ◽

Product Solution

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Bethe ansatz calculation of the spectral gap of the asymmetric exclusion process

Journal of Physics A General Physics ◽

10.1088/0305-4470/37/10/001 ◽

2004 ◽

Vol 37 (10) ◽

pp. 3321-3331 ◽

Author(s):

O Golinelli ◽

K Mallick

Keyword(s):

Bethe Ansatz ◽

Spectral Gap ◽

Exclusion Process ◽

Asymmetric Exclusion Process ◽

Asymmetric Exclusion

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Extrapolation methods and Bethe ansatz for the asymmetric exclusion process

Journal of Physics A Mathematical and Theoretical ◽

10.1088/1751-8113/49/45/454002 ◽

2016 ◽

Vol 49 (45) ◽

pp. 454002 ◽

Author(s):

Sylvain Prolhac

Keyword(s):

Bethe Ansatz ◽

Exclusion Process ◽

Asymmetric Exclusion Process ◽

Extrapolation Methods ◽

Asymmetric Exclusion

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Generalized Bethe ansatz solution of a one-dimensional asymmetric exclusion process on a ring with blockage

Journal of Statistical Physics ◽

10.1007/bf01058433 ◽

1993 ◽

Vol 71 (3-4) ◽

pp. 471-505 ◽

Author(s):

G. Sch�tz

Keyword(s):

Bethe Ansatz ◽

Exclusion Process ◽

Asymmetric Exclusion Process ◽

One Dimensional ◽

Bethe Ansatz Solution ◽

Asymmetric Exclusion

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Perturbative solution for the spectral gap of the weakly asymmetric exclusion process

Journal of Physics A Mathematical and Theoretical ◽

10.1088/1751-8121/aa77de ◽

2017 ◽

Vol 50 (31) ◽

pp. 315001 ◽

Author(s):

Sylvain Prolhac

Keyword(s):

Spectral Gap ◽

Exclusion Process ◽

Asymmetric Exclusion Process ◽

Perturbative Solution ◽

Asymmetric Exclusion

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