On the Generalized Borel Transform and its Application to the Statistical Mechanics of Macromolecules
Statistical Mechanics
2015-06-24 v2
Abstract
We present a new integral transform called the Generalized Borel Transform (GBT) and show how to use it to compute some distribution functions used to describe the statistico-mechanical behavior of macromolecules. For this purpose, we choose the Random Flight Model (RFM) of macromolecules and show that the application of the GBT to this model leads to the exact expression of the polymer propagator (two-point correlation function) from which all the statistical properties of the model can be obtained. We also discuss the mathematical simplicity of the GBT and its applicability to polymers with other topologies.
Keywords
Cite
@article{arxiv.cond-mat/0302442,
title = {On the Generalized Borel Transform and its Application to the Statistical Mechanics of Macromolecules},
author = {M. Marucho and G. A. Carri},
journal= {arXiv preprint arXiv:cond-mat/0302442},
year = {2015}
}
Comments
21 pages, 2 figures