Luigi Cantini 2008 J. Phys. A: Math. Theor. 41 095001 doi:10.1088/1751-8113/41/9/095001
Algebraic Bethe ansatz for the two species ASEP with different hopping rates
Luigi Cantini
Show affiliationsAn ASEP with two species of particles and different hopping rates is considered on a ring. Its integrability is proved, and the nested algebraic Bethe ansatz is used to derive the Bethe equations for states with arbitrary numbers of particles of each type, generalizing the results of Derrida and Evans [10]. We also present formulae for the total velocity of particles of a given type and their limit given the large size of the system and the finite densities of the particles.
- PACS
- MSC
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82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs
82B23 Exactly solvable models; Bethe ansatz
15A30 Algebraic systems of matrices (See also 16S50, 20Gxx, 20Hxx)
- Subjects
- Dates
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Issue 9 (7 March 2008)
Received 22 October 2007, in final form 23 January 2008
Published 19 February 2008
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Algebraic Bethe ansatz for the two species ASEP with different hopping rates
Luigi Cantini 2008 J. Phys. A: Math. Theor. 41 095001
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