We discuss directed walk models of random copolymers, either adsorbed at a surface or localized at an interface between two immiscible liquids. We consider the response to an applied force which can cause desorption or delocalization into a bulk phase, and calculate the critical force as a function of temperature. The randomness is quenched and, even for directed models, we cannot usually treat; the quenched system analytically so we resort to an approximation in which the quenched average is approximated by an annealed average with a side condition which ensures the correct proportion of the types of comonomers. We argue that this approach gives the exact result for the quenched system in some cases and a bound in others.

Adsorption and localization of random copolymers subject to a force: The Morita approximation

ORLANDINI, ENZO;
2004

Abstract

We discuss directed walk models of random copolymers, either adsorbed at a surface or localized at an interface between two immiscible liquids. We consider the response to an applied force which can cause desorption or delocalization into a bulk phase, and calculate the critical force as a function of temperature. The randomness is quenched and, even for directed models, we cannot usually treat; the quenched system analytically so we resort to an approximation in which the quenched average is approximated by an annealed average with a side condition which ensures the correct proportion of the types of comonomers. We argue that this approach gives the exact result for the quenched system in some cases and a bound in others.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/1365093
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