NDLI: Trees at an Interface

Content Provider	Springer Nature Link
Author	Janse van Rensburg, E. J.
Copyright Year	2001
Abstract	A lattice tree at an interface between two solvents of different quality is examined as a model of a branched polymer at an interface. Existence of the free energy is shown, and the existence of critical lines in its phase diagram is proven. In particular, there is a line of first order transitions separating a positive phase from a negative phase (the tree being predominantly on either side of the interface in these phases), and a curve of localization–delocalization transitions which separate the delocalized positive and negative phases from a phase where the tree is localized at the interface. This model is generalized to a branched copolymer which is examined in a certain averaged quenched ensemble. Existence of a thermodynamic limit is shown for this model, and it is also shown that the model is self-averaging. Lastly, a model of branched polymers interacting with one another through a membrane is considered. The existence of a limiting free energy is shown, and it is demonstrated that if the interaction is strong enough, then the two branched polymers will adsorb on one another.
Starting Page	1177
Ending Page	1209
Page Count	33
File Format	PDF
ISSN	00224715
Journal	Journal of Statistical Physics
Volume Number	102
Issue Number	5-6
e-ISSN	15729613
Language	English
Publisher	Kluwer Academic Publishers-Plenum Publishers
Publisher Date	2001-01-01
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Physical Chemistry Quantum Physics Mathematical and Computational Physics Statistical Physics
Content Type	Text
Resource Type	Article
Subject	Statistical and Nonlinear Physics Mathematical Physics

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