Interface, Surface Tension And Reentrant Pinning Transition In The 2d Ising Model


: We develop a new way to look at the high-temperature representation of the Ising model up to the critical temperature and obtain a number of interesting consequences. In the two-dimensional case, it is possible to use these tools to prove results on phaseseparation lines in the whole phase-coexistence regime, by way of a duality transformation. We illustrate the power of these techniques by studying an Ising model with a boundary magnetic field, in which a reentrant pinning transition takes place; more precisely we show that the typical configurations of the model can be described, at the macroscopic level, by interfaces which are solutions of the corresponding thermodynamical variational problem; this variational problem is solved explicitly. There exist values of the boundary magnetic field and temperatures 0 ! T 1 ! T 2 ! T c such that the interface is not pinned for T ! T 1 or T ? T 2 , but is pinned for T 1 ! T ! T 2 ; we can also find values of the boundary magnetic field and ..

Similar works

Full text

oaioai:CiteSeerX.psu: time updated on 10/22/2014

This paper was published in CiteSeerX.

Having an issue?

Is data on this page outdated, violates copyrights or anything else? Report the problem now and we will take corresponding actions after reviewing your request.