Phase transitions in multicomponent string modelB. Rózycki1, 2 and M. Napiórkowski1
1 Instytut Fizyki Teoretycznej, Uniwersytet Warszawski 00-681 Warszawa, Hoza 69, Poland
2 Max-Planck-Institut für Kolloid- und Grenzflächenforschung 14424 Potsdam, Germany
(Received 14 October 2003; accepted in final form 19 January 2004)
We propose a one-dimensional model of a string decorated with adhesion molecules (stickers) to mimic multicomponent membranes in restricted geometries. The string is bounded by two parallel walls and it interacts with one of them by short-range attractive forces while the stickers are attracted by the other wall. The exact solution of the model in the case of infinite wall separation predicts both continuous and discontinuous transitions between phases characterised by low and high concentration of stickers on the string. Our model exhibits also coexistence of these two phases, similarly to models of multicomponent membranes.
05.70.Fh - Phase transitions: general studies.
05.70.Np - Interface and surface thermodynamics.
87.16.Dg - Membranes, bilayers, and vesicles.
© EDP Sciences 2004