We consider a statistical system in a planar wedge, for values of the bulk parameters corresponding to a first order phase transition and with boundary conditions inducing phase separation. Our previous exact field theoretical solution for the case of a single interface is extended to a class of systems, including the Blume-Capel model as the simplest representative, allowing for the appearance of an intermediate layer of a third phase. We show that the interfaces separating the different phases behave as trajectories of vicious walkers, and determine their passage probabilities. We also show how the theory leads to a remarkable form of wedge covariance, i.e. a relation between properties in the wedge and in the half plane, which involves the appearance of self-Fourier functions.
|Titolo:||Multiple phases and vicious walkers in a wedge|
|Autori:||Delfino, G; Squarcini, A|
|Rivista:||NUCLEAR PHYSICS. B|
|Data di pubblicazione:||2015|
|Digital Object Identifier (DOI):||10.1016/j.nuclphysb.2015.10.019|
|Appare nelle tipologie:||1.1 Journal article|