Spontaneous breaking of continuous rotational symmetry in two dimensions

DOI10.1214/EJP.v14-671zbMath1191.60115MaRDI QIDQ1039160

Silke W. W. Rolles, Franz Merkl

Publication date: 20 November 2009

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/223566

zbMATH Keywords

rotationGibbs measurespontaneous symmetry breakingcontinuous symmetry

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21)

Related Items (9)

Phase transitions in Delaunay Potts models ⋮ Lower bound on the mean square displacement of particles in the hard disk model ⋮ Long-range orientational order of random near-lattice hard sphere and hard disk processes ⋮ On maximal hard-core thinnings of stationary particle processes ⋮ Existence of Gibbsian point processes with geometry-dependent interactions ⋮ The Widom-rowlinson model on the Delaunay graph ⋮ Spontaneous breaking of rotational symmetry with arbitrary defects and a rigidity estimate ⋮ Translation invariance of two-dimensional Gibbsian systems of particles with internal degrees of freedom ⋮ Dislocation lines in three-dimensional solids at low temperature

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