Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2008-07-25
Journal of Physics A: IOP, 41, 304023 (2008)
Physics
Condensed Matter
Statistical Mechanics
Scientific paper
10.1088/1751-8113/41/30/304023
The complexity of a system, in general, makes it difficult to determine some or almost all matrix elements of its operators. The lack of accuracy acts as a source of randomness for the matrix elements which are also subjected to an external potential due to existing system conditions. The fluctuation of accuracy due to varying system-conditions leads to a diffusion of the matrix elements. We show that, for the single well potentials, the diffusion can be described by a common mathematical formulation where system information enters through a single parameter. This further leads to a characterization of physical properties by an infinite range of single parametric universality classes.
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