6533b81ffe1ef96bd1277c5d

RESEARCH PRODUCT

Coarsened Lattice Model for Random Granular Systems

R. Piasecki

subject

Materials scienceStatistical Mechanics (cond-mat.stat-mech)Critical phenomenaFOS: Physical sciencesDisordered Systems and Neural Networks (cond-mat.dis-nn)ConductivityCondensed Matter - Disordered Systems and Neural NetworksCondensed Matter PhysicsGrain sizeElectronic Optical and Magnetic MaterialsDistribution functionPercolationHistogramStatistical physicsLattice model (physics)Condensed Matter - Statistical MechanicsNetwork model

description

In random systems consisting of grains with size distributions the transport properties are difficult to explore by network models. However, the concentration dependence of effective conductivity and its critical properties can be considered within coarsened lattice model proposed that takes into account information from experimentally known size histograms. For certain classes of size distributions the specific local arrangements of grains can induce either symmetrical or unsymmetrical critical behaviour at two threshold concentrations. Using histogram related parameters the non-monotonic behaviour of the conductor-insulator and conductor-superconductor threshold is demonstrated.

yearjournalcountryeditionlanguage
1998-10-01
http://arxiv.org/abs/cond-mat/0005386