Quantifying Disorder Through Conditional Entropy: an Application to Fluid Mixing

Overview

Journal PLoS One

Specialties General Medicine
Science

Date 2013 Jun 14

PMID 23762401

Citations 11

Authors

Giovanni B Brandani

Marieke Schor

Cait E MacPhee

Helmut Grubmuller

Ulrich Zachariae

Davide Marenduzzo

Affiliations

Soon will be listed here.

Abstract

In this paper, we present a method to quantify the extent of disorder in a system by using conditional entropies. Our approach is especially useful when other global, or mean field, measures of disorder fail. The method is equally suited for both continuum and lattice models, and it can be made rigorous for the latter. We apply it to mixing and demixing in multicomponent fluid membranes, and show that it has advantages over previous measures based on Shannon entropies, such as a much diminished dependence on binning and the ability to capture local correlations. Further potential applications are very diverse, and could include the study of local and global order in fluid mixtures, liquid crystals, magnetic materials, and particularly biomolecular systems.

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