Abstract : The variation of the electrical resistivity of a material in the externalmagnetic field is known as magneto resistance. This phenomenon has been attractedboth theoretical and experimental researchers in miniaturization of magneto meters inthe recent years. In this paper, the magneto resistance of an inhomogeneous twodimensional conductor with ladder geometry i...

In modeling and location analysis, most traditional fault location methods do not consider about the existence of practical nonlinear model in distribution network, such as the nonlinearity of load and grounding resistor. Hence, the adopted model can’t express the practical network, and the location results will lose practical meaning. Aiming at solving the question above, this paper proposes a...

The randomly diluted resistor network and XY model at low temperature T are studied near the d-dimensional percolation threshold using the ɛ expansion, where ɛ=6-d. The series expansion of the inverse susceptibility in powers of T for the XY model is identical to that of the appropriate resistive inverse susceptibility in powers of σ0−1, where σ0 is the conductance of a bond. However, the tempe...

Conductance fluctuations in hydrogenated amorphous silicon (a-Si:H) are simulated using a dynamical model of resistor diffusion on a lattice held at the percolation threshold. A fraction of lattice sites is designated as a trap, such that when a resistor diffuses onto that site it remains localized for a finite period of time. When a distribution of traps based on the defect density of a-Si:H i...

The randomly diluted resistor network is formulated in terms of an n-replicated s-state Potts model with a spin-spin coupling constant J in the limit when first n, then s, and finally 1/J go to zero. This limit is discussed and to leading order in 1/J the generalized susceptibility is shown to reproduce the results of the accompanying paper where the resistor network is treated using the xy mod...