Perfect plasticity in a random medium

Perfect plasticity in a random medium

We study numerically a simple network model which is an electrical analog of a perfectly plastic disordered medium. For a uniform random distribution of local maximum current, (e.g. yield stress), we study the evolution of the properties of the system as a function of the number of elements which reached the plastic limit. It is shown that the macroscopic yield point can be interpreted as a cri...

A Perfect Random Number Generator

Fermions in a Random Medium

We study the continuum field theory for an ensemble of directed polymers ri(t) in 1+d ′ dimensions that live in a medium with quenched point disorder and interact via short-ranged pair forces gΨ(ri − rj). In the strong-disorder (or low-temperature) regime, such forces are found to be relevant in any dimension d′ below the upper critical dimension for a single line. Attractive forces generate a ...

Depinning in a Random Medium

We develop a renormalized continuum field theory for a directed polymer interacting with a random medium and a single extended defect. The renormalization group is based on the operator algebra of the pinning potential; it has novel features due to the breakdown of hyperscaling in a random system. There is a second-order transition between a localized and a delocalized phase of the polymer; we ...

A Perfect Random Number Generator : II

In this report one explicates the new method to generate random numbers whose the randomness is proved. One transforms data resulting from electronic files or provided by machines or software methods. This method can be applied directly in computers in the same way that the function " random ". It can be also applied with the machines and the chips or software methods. In this report, one shows...