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Pré-Publication, Document De Travail Année : 1995

Self-avoiding Tethered Membranes at the Tricritical Point

Kay Joerg Wiese
François David

Résumé

The scaling properties of self-avoiding tethered membranes at the tricritical point (theta-point) are studied by perturbative renormalization group methods. To treat the 3-body repulsive interaction (known to be relevant for polymers), new analytical and numerical tools are developped and applied to 1-loop calculations. These technics are a prerequisite to higher order calculations for self-avoiding membranes. The cross-over between the 3-body interaction and the modified 2-body interaction, attractive at long range, is studied through a new double epsilon-expansion. It is shown that the latter interaction is relevant for 2-dimensional membranes at the theta-point.

Dates et versions

hal-00283843 , version 1 (30-05-2008)

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Kay Joerg Wiese, François David. Self-avoiding Tethered Membranes at the Tricritical Point. 1995. ⟨hal-00283843⟩
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