Hydrodynamic Limit of Mean Zero Condensing Zero Range Processes with Sub-Critical Initial Profiles
نویسندگان
چکیده
منابع مشابه
Nonequilibrium Fluctuations for a Tagged Particle in Mean-zero One-dimensional Zero-range Processes
We prove a non-equilibrium functional central limit theorem for the position of a tagged particle in mean-zero one-dimensional zero-range process. The asymptotic behavior of the tagged particle is described by a stochastic differential equation governed by the solution of the hydrodynamic equation.
متن کاملDynamics of condensation in zero-range processes
The dynamics of a class of zero-range processes exhibiting a condensation transition in the stationary state is studied. The system evolves in time starting from a random disordered initial condition. The analytical study of the large-time behaviour of the system in its mean-field geometry provides a guide for the numerical study of the one-dimensional version of the model. Most qualitative fea...
متن کاملEscape of mass in zero-range processes with random rates
Abstract: We consider zero-range processes in Z with site dependent jump rates. The rate for a particle jump from site x to y in Z is given by λxg(k)p(y− x), where p(·) is a probability in Z, g(k) is a bounded nondecreasing function of the number k of particles in x and λ = {λx} is a collection of i.i.d. random variables with values in (c, 1], for some c > 0. For almost every realization of the...
متن کاملZero-range processes with multiple condensates: statics and dynamics
The steady-state distributions and dynamical behaviour of zero-range processes with hopping rates which are non-monotonic functions of the site occupation are studied. We consider two classes of non-monotonic hopping rates. The first results in a condensed phase containing a large (but subextensive) number of mesocondensates each containing a subextensive number of particles. The second results...
متن کاملRate of relaxation for a mean-field zero-range process
We introduce a mean-field zero-range process. It is a Markov chain model for a microcanonical ensemble. We prove that the process converges to a fluid limit. The fluid limit rapidly relaxes to the appropriate Gibbs distribution. Keywordsmean field, zero-range process, balls, boxes, Markov chain, relaxation, spectral gap, log Sobolev Mathematics Subject Classification (2000) 60K35, 82C20.
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: 2014
ISSN: 0022-4715,1572-9613
DOI: 10.1007/s10955-014-1113-9