Bethe Ansatz Solution of Discrete Time Stochastic Processes with Fully Parallel Update
نویسندگان
چکیده
منابع مشابه
Discrete Thermodynamic Bethe Ansatz
We propose discrete TBA equations for models with discrete spectrum. We illustrate our construction on the Calogero-Moser model and determine the discrete 2-body TBA function which yields the exact N -body CalogeroMoser thermodynamics. We apply this algorithm to the Lieb-Liniger model in a harmonic well, a model which is relevant for the microscopic description of harmonically trapped Bose-Eins...
متن کاملDiscrete Time Stochastic Processes
4 Martingales 35 4.1 Examples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36 4.2 Doob Decomposition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38 4.3 Optional Sampling Theorem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39 4.4 Inequalities and Convergence . . . . . . . . . . . ...
متن کاملBethe Ansatz solution of the stochastic process with nonuniform stationary state
The eigenfunctions and eigenvalues of the master-equation for zero range process on a ring are found exactly via the Bethe ansatz. The rates of particle exit from a site providing the Bethe ansatz applicability are shown to be expressed in terms of single parameter. Continuous variation of this parameter leads to the transition of driving diffusive system from positive to negative driving throu...
متن کاملDiscrete Miura Opers and Solutions of the Bethe Ansatz Equations
Solutions of the Bethe ansatz equations associated to the XXX model of a simple Lie algebra g come in families called the populations. We prove that a population is isomorphic to the flag variety of the Langlands dual Lie algebra g . The proof is based on the correspondence between the solutions of the Bethe ansatz equations and special difference operators which we call the discrete Miura oper...
متن کاملBethe ansatz solution of triangular trimers on the triangular lattice.
Recently, a model consisting of triangular trimers covering the triangular lattice was introduced and its exact free energy given. In this paper we present the complete calculation leading to this exact result. The solution involves a coordinate Bethe ansatz with two kinds of particles. It is similar to that of the square-triangle random tiling model by Widom and Kalugin. The connection of the ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Statistical Physics
سال: 2006
ISSN: 0022-4715,1572-9613
DOI: 10.1007/s10955-006-9023-0