Volume 75, Number 3, August 2006
|Page(s)||378 - 384|
|Published online||05 July 2006|
Calculating field theories beyond the mean-field level
Institut fuer Physikalische und Theoretische Chemie, Universitaet Regensburg D-93053 Regensburg, Germany
2 Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research 141980 Dubna, Russia
3 Institute of Solution Chemistry, Russian Academy of Sciences 153045 Ivanovo, Russia
Accepted: 15 June 2006
Mean-field theories are widely used as comparative theoretical tools throughout all areas of natural and engineering sciences. They are capable in many instances to deliver useful insights in properties and behavior of multi-body systems at relatively moderate computational costs. However, there are a multitude of cases were the mean-field approach has been found to provide either inaccurate or even qualitatively wrong results. In this article we present a new low-cost approach based on the method of Gaussian equivalent representation of Efimov and Ganbold, and show that it provides a far more accurate 0th-order approximation of the free energy and related thermodynamic and structural quantities than the mean-field approach. We demonstrate its effectiveness on the example of a polymer solution model in the dilute and semi-dilute regime.
PACS: 05.10.-a – Computational methods in statistical physics and nonlinear dynamics / 31.15.Ne – Self-consistent-field methods / 61.25.Hq – Macromolecular and polymer solutions; polymer melts; swelling
© EDP Sciences, 2006
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.