منابع مشابه
Effects of Sexual Reproduction
Example 5.5: Near-critical binary splitting. The theorem applies to binary splitting where the probability of division is p(z) = 1/2+1/(2z), and q(z) = 1− p(z) is the probability of no children, if population size is z. Thus, m(z) = 1 + 1/z and the process is supercritical, but approaches criticality as z increases. The probability generating function of the offspring number is fz(s) = q(z) + p...
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We show that the presence of a driven bond in an otherwise diffusive lattice gas with simple exclusion interaction results in long-range density-density correlation in its stationary state. In dimensions d > 1 we show that in the thermodynamic limit this correlation decays as C(r,s)∼(r(2)+s(2))(-d) at large distances r and s away from the drive with |r - s| ≫ 1. This is derived using an electro...
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A non-equilibrium particle transport model, the totally asymmetric exclusion process, is studied on a one-dimensional lattice with a hierarchy of fixed long range connections. This model breaks the particle–hole symmetry observed on an ordinary one-dimensional lattice and results in a surprisingly simple phase diagram, without a maximum current phase. Numerical simulations of the model with ope...
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ژورنال
عنوان ژورنال: Stochastic Processes and their Applications
سال: 1994
ISSN: 0304-4149
DOI: 10.1016/0304-4149(94)90063-9