1 7 M ay 2 00 5 Conductance of Finite - Scale Systems with Multiple Percolation Channels
نویسنده
چکیده
We investigate properties of two-dimensional finite-scale percolation systems whose size along the current flow is smaller than the perpendicular size. Successive thresholds of appearing multiple percolation channels in such systems have been determined and dependencies of the conductance on their size and percolation parameter p have been calculated. Various experimental examples show that the finite-scale percolation system is the natural mathematical model suitable for the qualitative and quantitative description of different physical systems.
منابع مشابه
ar X iv : 0 70 5 . 05 06 v 1 [ m at h . PR ] 3 M ay 2 00 7 Space – time percolation
The contact model for the spread of disease may be viewed as a directed percolation model on Z×R in which the continuum axis is oriented in the direction of increasing time. Techniques from percolation have enabled a fairly complete analysis of the contact model at and near its critical point. The corresponding process when the time-axis is unoriented is an undirected percolation model to which...
متن کاملar X iv : h ep - p h / 05 05 21 7 v 1 2 5 M ay 2 00 5 Associated multiplicity to high p T events and percolation of color sources
We show that the multiplicity distribution associated to high p T events is given in terms of the total multiplicity distribution in an universal way due to the fact that these events are self-shadowed. In particular, the mean associated multiplicity is related to the fluctuations on the multiplicity distribution. In the framework of percolation of strings these fluctuations are related to clus...
متن کاملar X iv : 0 70 5 . 19 14 v 1 [ m at h . FA ] 1 4 M ay 2 00 7 Measurement of time – varying Multiple – Input Multiple – Output Channels
We derive a criterion on the measurability / identifiability of Multiple–Input Multiple–Output (MIMO) channels based on the size of the so-called spreading support of its subchannels. Novel MIMO transmission techniques provide high-capacity communication channels in time-varying environments and exact knowledge of the transmission channel operator is of key importance when trying to transmit in...
متن کاملar X iv : 0 70 5 . 37 81 v 1 [ m at h . PR ] 2 5 M ay 2 00 7 POISSON APPROXIMATION FOR LARGE CLUSTERS IN THE SUPERCRITICAL FK MODEL
Using the Chen-Stein method, we show that the spatial distribution of large finite clusters in the supercritical FK model approximates a Poisson process when the ratio weak mixing property holds. 1. Introduction. We consider here the behaviour of large finite clusters in the supercritical FK model. In dimension two and more, their typical structure is described by the Wulff shape [4, 5, 6, 8, 9...
متن کاملStatistical and Computational Physics
(1) Exact universal amplitude ratios for two-dimensional Ising model and a quantum spin chain. (2) Critical behaviour of semi-infinite quenched dilute Ising-like systems in three dimensions: Ordinary transition. (3) Universal scaling functions for bond percolation on planar random and square lattices with multiple percolating clusters. (4) Polydispersity effect and universality of finite-size s...
متن کامل