On a model of directed compact animals

B. Derrida , J.P. Nadal

We study a model of directed compact animals which arises in various fields : partition of an integer, spiralling self avoiding walks, interacting electrons in a strong magnetic field. We give asymptotic formulae for the number of these animals with N sites and length L, and for the mean length < L > at a given N.

Mots clés: lattice theory and statistics; integer partition; asymptotic formulae; directed compact animals; spiralling self avoiding walks; interacting electrons; strong magnetic field

Domaines: Articles anciens

B. Derrida, J.P. Nadal. On a model of directed compact animals. Journal de Physique Lettres, 1984, 45 (14), pp.701-706. ⟨10.1051/jphyslet:019840045014070100⟩. ⟨jpa-00232400⟩