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van Rensburg E.J.J., Rechnitzer A. — Adsorbing and Collapsing Directed Animals
van Rensburg E.J.J., Rechnitzer A. — Adsorbing and Collapsing Directed Animals

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Название: Adsorbing and Collapsing Directed Animals

Авторы: van Rensburg E.J.J., Rechnitzer A.

Аннотация:

Amodel of a self-interacting directed animal, which also interacts with a solid wall, is studied as a model of a directed branched polymer which can undergo both a collapse and an adsorption transition. The directed animal is confined to a 45° wedge, and it interacts with one of the walls of this wedge. The existence of a thermodynamic limit in this model shown, and the presence of an adsorption transition is demonstrated by using constructive techniques. By comparing this model to a process of directed percolation, we show that there is also a collapse or h-transition in this model. We examine directed percolation in a wedge to show that there is a collapse phase present for arbitrary large values of the adsorption activity. The generating function of adsorbing directed animals in a half-space is found next from which we find the tricritical exponents associated with the adsorption transition. Afull solution for a collapsing directed animal seems intractible, so instead we examine the collapse transition of a model of column convex directed animals with a contact activity next.


Язык: en

Рубрика: Физика/

Тип: Статья

Статус предметного указателя: Неизвестно

ed2k: ed2k stats

Год издания: 2001

Количество страниц: 43

Добавлена в каталог: 30.10.2013

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