Directed polymers in high dimensions

Дата и время публикации : 1996-02-08T15:46:15Z

Авторы публикации и институты :
Ralf Bundschuh
Michael Lassig

Ссылка на журнал-издание: Ссылка на журнал-издание не найдена
Коментарии к cтатье: 37 pages REVTEX including 4 PostScript figures
Первичная категория: cond-mat

Все категории : cond-mat

Краткий обзор статьи: We study directed polymers subject to a quenched random potential in d transversal dimensions. This system is closely related to the Kardar-Parisi-Zhang equation of nonlinear stochastic growth. By a careful analysis of the perturbation theory we show that physical quantities develop singular behavior for d to 4. For example, the universal finite size amplitude of the free energy at the roughening transition is proportional to (4-d)^(1/2). This shows that the dimension d=4 plays a special role for this system and points towards d=4 as the upper critical dimension of the Kardar-Parisi-Zhang problem.

Category: Physics