Spectral dimension and conductivity exponent of the percolating cluster
نویسنده
چکیده
منابع مشابه
Long-time behaviour of particles diffusing in strongly disordered medium, revisited
2014 We reexamine the heuristic Lifshitz argument for the long-time behaviour of classical diffusion in the strongly disordered regime. The deviation of the density at the origin behaves as exp { ct03C8 } with 03C8 = d/(2 +d), where d is the spectral dimension of the cluster. Typical clusters yield 03C8 ~ 2/5. We argue, however, that the long-time behaviour is dominated by more ramified cluster...
متن کاملSpectral properties of the Laplacian on bond-percolation graphs
Bond-percolation graphs are random subgraphs of the d-dimensional integer lattice generated by a standard bond-percolation process. The associated graph Laplacians, subject to Dirichlet or Neumann conditions at cluster boundaries, represent bounded, self-adjoint, ergodic random operators with off-diagonal disorder. They possess almost surely the non-random spectrum [0, 4d] and a selfaveraging i...
متن کاملCritical exponent for the density of percolating flux.
This paper is a study of some of the critical properties of a simple model for flux. The model is motivated by gauge theory and is equivalent to the Ising model in three dimensions. The phase with condensed flux is studied. This is the ordered phase of the Ising model and the high temperature, deconfined phase of the gauge theory. The flux picture will be used in this phase. Near the transition...
متن کامل1/f noise in random resistor networks: Fractals and percolating systems.
A general formulation for the spectral noise S& of random linear resistor networks of arbitrary topology is given. General calculational methods based on Tellegen's theorem are illustrated for oneand two-probe configurations. For self-similar networks, we show the existence of a new exponent b, member of a whole new hierarchy of exponents characterizing the size dependence of the normalized noi...
متن کاملAnomalous transport in lattice and continuum percolating systems.
Anomalous diffusion is studied on a certain class of percolation models in which the diffusion properties arise both from the underlying network and from the singular distribution of transfer rates. Scaling arguments parallel to those of Kogut and Straley lead to nonuniversal modifications of the dynamical exponents. The scaling results are demonstrated in a Sierpinski honeycomb and in the effe...
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 2017