There are no nice interfaces in \((2+1)\)-dimensional SOS models in random media.

DOI10.1007/BF02183747zbMath1081.82571arXivcond-mat/9508006OpenAlexW3121397634MaRDI QIDQ1593409

Christof Külske, Anton Bovier

Publication date: 16 January 2001

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/9508006

zbMATH Keywords

interfacesdisordered systemsSOS model

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Interface problems; diffusion-limited aggregation arising in equilibrium statistical mechanics (82B24)

Related Items (12)

On the set of Gibbs measures for model with a countable set of spin values on Cayley trees ⋮ Smoothing effect of quenched disorder on polymer depinning transitions ⋮ Random-field random surfaces ⋮ Convergence to the thermodynamic limit for random-field random surfaces ⋮ Existence of random gradient states ⋮ Uniqueness of gradient Gibbs measures with disorder ⋮ Extremality of translation-invariant phases for a three-state SOS-model on the binary tree ⋮ Continuous interfaces with disorder: Even strong pinning is too weak in two dimensions ⋮ Nonexistence of random gradient Gibbs measures in continuous interface models in \(d=2\) ⋮ Gradient Gibbs measures for the SOS model with countable values on a Cayley tree ⋮ On the irrelevant disorder regime of pinning models ⋮ Gradient Gibbs measures for the SOS model with integer spin values on a Cayley tree

Cites Work

• Rounding effects of quenched randomness on first-order phase transitions
• Gibbs measures and phase transitions
• Entropy, limit theorems, and variational principles for disordered lattice systems
• A RIGOROUS RENORMALIZATION GROUP METHOD FOR INTERFACES IN RANDOM MEDIA

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