Nonexistence of random gradient Gibbs measures in continuous interface models in \(d=2\)
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Publication:2476400
DOI10.1214/07-AAP446zbMath1141.60074arXivmath/0611140OpenAlexW2163828747MaRDI QIDQ2476400
Aernout C. D. van Enter, Christof Külske
Publication date: 19 March 2008
Published in: The Annals of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0611140
disordered systemsgradient Gibbs measuresrandom interfaceslower bound on fluctuationsslow correlation decay
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) Processes in random environments (60K37)
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Cites Work
- Rounding effects of quenched randomness on first-order phase transitions
- A simple fluctuation lower bound for a disordered massless random continuous spin model in \(d=2\)
- Localization and delocalization of random interfaces
- Motion by mean curvature from the Ginzburg-Landau \(\nabla\phi\) interface model
- There are no nice interfaces in \((2+1)\)-dimensional SOS models in random media.
- Provable first-order transitions for nonlinear vector and gauge models with continuous sym\-metries
- Phase coexistence of gradient Gibbs states
- A RIGOROUS RENORMALIZATION GROUP METHOD FOR INTERFACES IN RANDOM MEDIA