ISSN:
1434-6036
Keywords:
05.40
;
64.60
;
82.70
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract Bunches of membranes and bundles of strings exhibit unbinding transitions from a bound state at low temperatures to an unbound state at high temperatures.N freely suspended manifolds unbind continuously at the unique unbinding temperatureT u f which is independent ofN. The amplitudes of the critical singularities have a strongN-dependence, however, which implies that the critical region for the continuous transition becomes very small and the transition becomes very abrupt in the limit of largeN. IfN membranes or strings are bound to a rigid surface, they undergo a sequence of either two or ofN successive transitions. In general, the rigid surface affects the contact probabilities of the fluctuating manifolds. For effectively repulsive interactions, the contact exponent ς2 which governs the probability for local pair contacts satisfies the scaling relation ς2=d ‖+ς whered ‖ and ζ denote the dimensionality and the roughness exponent of these manifolds.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01307470
