1 citations · 1 across the 5 of their papers we have counts for
5 papers
Large Deviations on a Cayley Tree I: Rate Functions
Anatoly E. Patrick
We study the spherical model of a ferromagnet on a Cayley tree and show that in the case of empty boundary conditions the ferromagnetic phase transition takes place at the critical…
Large Deviations in the Spherical Model: The Rate Functions
Anatoly E. Patrick
We study the spherical model of a ferromagnet in -dimensional cubes of volume and investigate large deviations of the magnetization of various domains $D_k\sub…
A Droplet within the Spherical Model
Anatoly E. Patrick
Various substances in the liquid state tend to form droplets. In this paper the shape of such droplets is investigated within the spherical model of a lattice gas. We show that in…
Spherical Model in a Random Field
A. E. Patrick
We investigate the properties of the Gibbs states and thermodynamic observables of the spherical model in a random field. We show that on the low-temperature critical line the magn…
Euler Walk on a Cayley Tree
A. E. Patrick
We show that the Euler walk on a Cayley tree exhibits two regimes (dynamic phases): a condensed phase and a low-density phase. In the condensed phase the self-organized area grows…