We study the fate of the 2d kinetic q-state Potts model after a sudden quench to zero temperature. Both ground states and complicated static states are reached with non-zero probabilities. These outcomes resemble those found in the quench of the 2d Ising model; however, the variety of static states in the q-state Potts model (with q ≥ 3) is much richer than in the Ising model, where static stat...

To understand the origin of the dynamical transition, between high-temperature exponential relaxation and low-temperature nonexponential relaxation, that occurs well above the static transition in glassy systems, a frustrated spin model, with and without disorder, is considered. The model has two phase transitions, the lower being a standard spin glass transition (in the presence of disorder) o...

A unified approach to the ferromagnetic two dimensional Potts model on square lattice is proposed. The compatibility with the still to be found solutions of the three (and higher) dimensional Ising model allows one to write down an explicit analytic ansatz for the free energy in terms of few q-dependent Regge trajectories. The duality symmetry of the 2D Potts model together with the known resul...

The work of Fortuin and Kasteleyn [1] demonstrated that bond percolation may be viewed as the s ~ 1 limit of the s-state Potts model. Recent interest in theories of random surfaces, particularly in the context of gauge theories [2], has led to the question of whether there is a natural generalization of the Fortuin-Kasteleyn result to plaquette percolation. It has been asserted that the proper ...

Sternum is resistant to infections and thus infrequent site of osteomyelitis. Involvement of sternum by Mycobacterium tuberculosis is rare. We report case of 37-year-old male with isolated tuberculosis of the sternum, a 14-year-old girl with tuberculosis of the sternum and Potts spine and a 55-year-old male with tubercular sinus of the sternum, three different presentations of the same disease.