Mean square displacement of a tracer particle in a hard-core lattice gas
نویسندگان
چکیده
منابع مشابه
Transfer-Matrix Study of Hard-Core Singularity for Hard-Square Lattice Gas
A singularity on the negative fugacity axis of the hard-square lattice gas is investigated in terms of numerical diagonalization of transfer matrices. The location of the singular point z− c and the critical exponent ν are accurately determined by the phenomenological renormalization technique as −0.11933888188(1) and 0.416667(1), respectively. It is also found that the central charge c and the...
متن کاملAnalyticity of a Hard-Core Multicomponent Lattice Gas
A multicompotlent "anti-Widom-Rowlinson" lattice gas is introduced. An arbitrary number M of particle types is permitted, all having the same activity. The only interactions are nearest-neighbor exclusions of like particles (analogous to map-coloring problems). For any lattice it is shown that there is a finite number M0 (depending onty on the coordination number of the lattice) such that for a...
متن کاملInfluence of a Uniform Driving Force on Tracer Diffusion in a One-Dimensional Hard-Core Lattice Gas
The influence of a uniform driving force on tracer diffusion is investigated for a one-dimensional lattice gas where particles jump stochastically to unoccupied neighboring sites. A new, simple calculation is presented for the diffusion coefficient of a tracer particle with respect to its average drift, obtained recently by rigorous methods by De Masi and Ferrari. A theoretical expression descr...
متن کاملFinite-size analysis of the hard-square lattice gas.
We investigate the hard-square lattice-gas model by means of transfer-matrix calculations and a finite-size-scaling analysis. Using a minimal set of assumptions we find that the spectrum of correction-to-scaling exponents is consistent with that of the exactly solved Ising model, and that the critical exponents and correlation-length amplitudes closely follow the relation predicted by conformal...
متن کاملMotion of a driven tracer particle in a one-dimensional symmetric lattice gas.
Motion of a driven tracer particle in a one-dimensional symmetric lattice gas. Abstract Dynamics of a tracer particle subject to a constant driving force E in a one-dimensional lattice gas of hard-core particles whose transition rates are symmetric. We show that the mean displacement of the driven tracer, X T (E, t), grows in time t as X T (E, t) = √ αt, rather than the linear time dependence f...
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: Physical Review Letters
سال: 1985
ISSN: 0031-9007
DOI: 10.1103/physrevlett.55.238