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most citedExact Solution of the Asymmetric Exclusion Model with Particles of Arbitrary Size

53 citations · 165 across the 10 of their papers we have counts for

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10 papers

cond-mat.stat-mech2000★ 32 cited

Exact Solution of Asymmetric Diffusion With N Classes of Particles of Arbitrary Size and Hierarchical Order

F. C. Alcaraz, R. Z. Bariev

The exact solution of the asymmetric exclusion problem with N distinct classes of particles (c = 1,2,...,N), with hierarchical order is presented. In this model the particles (size…

cond-mat.stat-mech2000★ 22 cited

Exact soultion of asymmetric diffusion with second-class particles of arbitrary size

F. C. alcaraz, R. Z. Bariev

The exact solution of the asymmetric exclusion problem with particles of first and second class is presented. In this model the particles (size 1) of both classes are attached on l…

hep-th2000★ 6 cited

Correspondence between the XXZ model in roots of unity and the one-dimensional quantum Ising chain with different boundary conditions

F. C. Alcaraz, A. A. Belavin, R. A. Usmanov

We consider the integrable XXZ model with special open boundary conditions that renders its Hamiltonian symmetric, and the one-dimensional quantum Ising model with four…

cond-mat.str-el1999★ 28 cited

Interpolation between Hubbard and supersymmetric t-J models. Two-parameter integrable models of correlated electrons

F. C. Alcaraz, R. Z. Bariev

Two new one-dimensional fermionic models depending on two independent parameters are formulated and solved exactly by the Bethe-ansatz method. These models connect continuously the…

cond-mat.stat-mech1999★ 1 cited

Integrable model of interacting XX and Fateev-Zamolodchikov chains

F. C. Alcaraz, R. Z. Bariev

We consider the exact solution of a model of correlated particles, which is presented as a system of interacting XX and Fateev-Zamolodchikov chains. This model can also be consider…

cond-mat.stat-mech1999★ 53 cited

Exact Solution of the Asymmetric Exclusion Model with Particles of Arbitrary Size

F. C. Alcaraz, R. Z. Bariev

A generalization of the simple exclusion asymmetric model is introduced. In this model an arbitrary mixture of molecules with distinct sizes , in units of lattice sp…