Current Large Deviations for Asymmetric Exclusion Processes with Open Boundaries
نویسندگان
چکیده
منابع مشابه
Current 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 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 کاملTwo-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 کاملCorrelation Function of Asymmetric Simple Exclusion Process with Open Boundaries
We investigate the correlation functions of the one-dimensional Asymmetric Simple Exclusion Process (ASEP) with open boundaries. The conditions for the boundaries are made most general. The correlation function is expressed in a multifold integral whose behavior we study in detail. We present a phase diagram of the correlation length. For the case the correlation length diverges, we further giv...
متن کاملExact current statistics of the asymmetric simple exclusion process with open boundaries.
Nonequilibrium systems are often characterized by the transport of some quantity at a macroscopic scale, such as, for instance, a current of particles through a wire. The asymmetric simple exclusion process (ASEP) is a paradigm for nonequilibrium transport that is amenable to exact analytical solution. In the present work, we determine the full statistics of the current in the finite size open ...
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/s10955-006-9048-4