The grand - canonical asymmetric exclusion process and the one - transit walk
نویسندگان
چکیده
The one-dimensional asymmetric exclusion process (ASEP) is a paradigm for nonequilibrium dynamics, in particular driven diffusive processes. It is usually considered in a canonical ensemble in which the number of sites is fixed. We observe that the grand-canonical partition function for the ASEP is remarkably simple. It allows a simple direct derivation of the asymptotics of the canonical normalization in various phases and of the correspondence with one-transit walks recently observed by Brak et al. The grand-canonical asymmetric exclusion process and the one-transit walk
منابع مشابه
GCMC Glauber dynamics study for structural transitions in YBCOx (0<x<1), HTc system
We have chosen an Ising ASYNNNI (ASYmmetric Next Nearest Neighbor Interaction) model under a grand canonical regime to investigate structural phase transition from a high symmetric tetragonal (Tet) to a low symmetric orthorhombic in YBa2Cu3O6+x , 0<x<1, HTc system. Ordering process for absorbed oxygens from an external gas bath into the basal plane of the layered system is studied by Monte C...
متن کاملExact solution of the zero-range process: fundamental diagram of the corresponding exclusion process
In this paper, we propose a general way of computing expectation values in the zero-range process, using an exact form of the partition function. As an example, we provide the fundamental diagram (the flux-density plot) of the asymmetric exclusion process corresponding to the zero-range process. We express the partition function for the steady state by the Lauricella hypergeometric function, an...
متن کاملSeparation-Based Adsorption of H2 from Binary Mixtures inside Single, Double, Triple Walled Boron-Nitride Nanotubes: A Grand- Canonical Monte-Carlo Study
This study investigates the separation based on adsorption of the binary gas mixture of hydrogen withbiogas (gases: CO2, CH4, O2, N2) and inert gases (gases: He, Ne, and Ar) using single-walled ((7,7), (15,15),(29,29), (44,44), (58,58) and (73,73) SWBNNTs), double-walled ((11,11)@(15,15), (7,7)@(22,22) DWBNNTs)and triple walled ((8,8)@(11,11)@(15,15) and (7,7)@(15,15)@(22,22) ...
متن کاملThe grand canonical ABC model
We investigate the phase diagram of a three-component system of particles on a one-dimensional filled lattice, or equivalently of a one-dimensional three-state Potts model, with reflection asymmetric mean-field interactions. The three types of particles are designated as A, B and C. The system is described by a grand canonical ensemble with temperature T and chemical potentials T λA, T λB and T...
متن کاملA ug 2 00 6 Shocks in the asymmetric exclusion process with internal degree of freedom Fatemeh Tabatabaei and Gunter
We determine all families of Markovian three-states lattice gases with pair interaction and a single local conservation law. One such family of models is an asymmetric exclusion process where particles exist in two different nonconserved states. We derive conditions on the transition rates between the two states such that the shock has a particularly simple structure with minimal intrinsic shoc...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2004