Open two-species exclusion processes with integrable boundaries
نویسندگان
چکیده
منابع مشابه
Two-Species Asymmetric Simple Exclusion Process with Open Boundaries
We study the steady state of the two-species Asymmetric Simple Exclusion Process (ASEP) with open boundary conditions. The matrix product method works for the determination of the stationary probability distribution. Several physical quantities are calculated through an explicit representation for the matrix products. By making full use of the relation with the continuous big q-Hermite polynomi...
متن کاملCurrent Large Deviations for Asymmetric Exclusion Processes with Open Boundaries
Recently, a theory has been developed to describe the current fluctuations of diffusive stochastic gas in their non-equilibrium steady state.(4,6,7,8,9,25,32) The large deviation functional of the current can be obtained in terms of a difficult variational problem; namely one needs to find the most likely time dependent density profile conditionally to the value of the current. So far some conc...
متن کاملA Two-Species Exclusion Model With Open Boundaries: A use of q-deformed algebra
In this paper we study an one-dimensional two-species exclusion model with open boundaries. The model consists of two types of particles moving in opposite directions on an open lattice. Two adjacent particles swap their positions with rate p and at the same time they can return to their initial positions with rate q if they belong to the different types. Using the Matrix Product Ansatz (MPA) f...
متن کاملDynamic boundaries in asymmetric exclusion processes.
We investigate the dynamics of a one-dimensional asymmetric exclusion process with Langmuir kinetics and a fluctuating wall. At the left-hand boundary, particles are injected onto the lattice; from there, the particles hop to the right. Along the lattice, particles can adsorb or desorb, and the right-hand boundary is defined by a wall particle. The confining wall particle has intrinsic forward ...
متن کاملIntegrable supersymmetric correlated electron chain with open boundaries
We construct an extended Hubbard model with open boundaries from a R-matrix based on the U q [Osp(2|2)] superalgebra. We study the reflection equation and find two classes of diagonal solutions. The corresponding one-dimensional open Hamiltonians are diagonalized by means of the Bethe ansatz approach.
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 Physics A: Mathematical and Theoretical
سال: 2015
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8113/48/17/175002