Potts-Percolation-Gauss Model of a Solid

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The paper is organized as follows: in section 2 we discuss the possible deformations in smectics and the invariant form of the free energy density in terms of the vector normal

form a basis for the r’4 irreducible representation of the cubic group, one must look for harmonic polynominals belonging to T4 : : those of the lowest degree

Abstract.2014 We report on the experimental study of the elastic properties of a triangular lattice consisting of bonds free to rotate around their junctions, and

The key step to recover a full limit from the limit of a random subsequence is the continuity lemma 4.2: using the coupled zone, we prove in essence that two points close in Z d × N

towards a Rayleigh-distributed random variable Θ, which gives a continuous analog to an earlier result by Janson on conditioned, finite- variance Galton-Watson trees.. The proofs

Monte Carlo simulations for large q values (where the square lattice Potts transition is discontinuous) indicate that the discontinuity in the Potts energy translates into

By using Monte Carlo simulations of the 3- and 4-state Potts model on a square lattice with a line of defects, we confirm the renormalization-group prediction that for a