Towards a common thread in Complexity: an accuracy-based approach
Statistical Mechanics
2009-11-13 v1
Abstract
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.
Keywords
Cite
@article{arxiv.0807.3997,
title = {Towards a common thread in Complexity: an accuracy-based approach},
author = {Pragya Shukla},
journal= {arXiv preprint arXiv:0807.3997},
year = {2009}
}