Exact solution of asymmetric diffusion with N classes of particles of arbitrary size and hierarchical order
نویسندگان
چکیده
منابع مشابه
Exact Solution of Asymmetric Diffusion With N Classes of Particles of Arbitrary Size and Hierarchical Order
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 1) are located at lattice points, and diffuse with equal asymmetric rates, but particles in a class c do not distinguish those in the classes c′ > c from holes (empty sites). We generalize and solve exactly thi...
متن کاملExact Solution of Asymmetric Di usion With N Classes of Particles of Arbitrary Size and Hierarchical Order
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 1) are located at lattice points, and di use with equal asymmetric rates, but particles in a class c do not distinguish those in the classes c0 > c from holes (empty sites). We generalize and solve exactly this...
متن کاملExact Solution of Asymmetric Diffusion With Second-Class Particles of Arbitrary Size
The exact solution of the asymmetric exclusion problem with firstand scond-class particles is presented. In this model the particles (size 1) of both classes are located at lattice points, and diffuse with equal asymmetric rates, but particles in the first class do not distinguish those in the second class from holes (empty sites). We generalize and solve exactly this model by considering molec...
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The exact solution of the asymmetric exclusion problem and several of its generalizations is obtained by a matrix product ansatz. Due to the similarity of the master equation and the Schrödinger equation at imaginary times the solution of these problems reduces to the diagonalization of a one dimensional quantum Hamiltonian. We present initially the solution of the problem when an arbitrary mix...
متن کاملExact Solution of Asymmetric Di usion With Second-Class Particles of Arbitrary Size
The exact solution of the asymmetric exclusion problem with rstand scond-class particles is presented. In this model the particles (size 1) of both classes are located at lattice points, and di use with equal asymmetric rates, but particles in the rst class do not distinguish those in the second class from holes (empty sites). We generalize and solve exactly this model by considering molecules ...
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ژورنال
عنوان ژورنال: Brazilian Journal of Physics
سال: 2000
ISSN: 0103-9733
DOI: 10.1590/s0103-97332000000400004