title: Quantifying disorder through conditional entropy: an application to fluid mixing.
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.
authors.affiliation: SUPA, School of Physics and Astronomy, University of Edinburgh, Edinburgh, Scotland, United Kingdom.
authors.forename: Giovanni B
authors.initials: GB
authors.lastname: Brandani
authors.forename: Marieke
authors.initials: M
authors.lastname: Schor
authors.forename: Cait E
authors.initials: CE
authors.lastname: Macphee
authors.forename: Helmut
authors.initials: H
authors.lastname: Grubmüller
authors.forename: Ulrich
authors.initials: U
authors.lastname: Zachariae
authors.forename: Davide
authors.initials: D
authors.lastname: Marenduzzo
mesh_terms: D002462:Cell Membrane / Q000378:metabolism*; D019277:Entropy; D057446:Hydrodynamics; D008051:Lipid Bilayers / Q000737:chemistry*; D059346:Magnets / Q000737:chemistry; D008563:Membrane Lipids / Q000737:chemistry; D044085:Microfluidics; D008958:Models, Molecular; D008962:Models, Theoretical; D056004:Molecular Dynamics Simulation; D009010:Monte Carlo Method
chemical_list: D008051:Lipid Bilayers; D008563:Membrane Lipids