title: Primitive interactions between inclusions on a fluid membrane: the role of thermal fluctuations.
abstract: Consider a fluid membrane decorated by moving hard or soft inclusions. The aim of this work is a quantitative study of the influence of thermal fluctuations on the three-dimensional primitive forces between these inclusions. Integrating over all membrane fluctuations, we obtain a general form giving the modified primitive interactions upon the transverse distance. The established formalism enables us to obtain the modified expression of some standard interaction potentials. In particular, for power-like potentials, we found a modified expression featuring the Whittaker function. The present formalism may be extended to other primitive interaction potentials. Finally, the main conclusion is that, decorated fluid membranes may be regarded as effective two-dimensional colloidal solutions where inclusions interact via the computed effective interactions.
authors.affiliation: Laboratoire de Physique des Polymères et Phénomènes Critiques, Faculté des Sciences Ben M'sik, P.O. Box 7955, Casablanca, Morocco. benhamou.mabrouk@gmail.com
authors.forename: M
authors.initials: M
authors.lastname: Benhamou
mesh_terms: D002462:Cell Membrane / Q000737:chemistry* / Q000378:metabolism*; D008051:Lipid Bilayers / Q000737:chemistry / Q000378:metabolism; D008958:Models, Molecular; D013696:Temperature
chemical_list: D008051:Lipid Bilayers