The conical point in the ferroelectric six-vertex model.

DOI10.1007/BF02180132zbMath1080.82535arXivcond-mat/9406060OpenAlexW3101648577MaRDI QIDQ1593214

Joel D. Shore, Dirk Jan Bukman

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/9406060

zbMATH Keywords

phase transitionssix-vertex modelsolid-on-solid models

Mathematics Subject Classification ID

Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Critical phenomena in equilibrium statistical mechanics (82B27) Exactly solvable dynamic models in time-dependent statistical mechanics (82C23)

Related Items (17)

Limit distributions for KPZ growth models with spatially homogeneous random initial conditions ⋮ Spectral flow of non-hermitian Heisenberg spin chain with complex twist ⋮ Stochastic PDE limit of the six vertex model ⋮ Limit shapes and local statistics for the stochastic six-vertex model ⋮ Nonexistence and uniqueness for pure states of ferroelectric six‐vertex models ⋮ Irreversible Markov dynamics and hydrodynamics for KPZ states in the stochastic six vertex model ⋮ Current fluctuations of the stationary ASEP and six-vertex model ⋮ Some recent progress in singular stochastic partial differential equations ⋮ A new exponent in the equilibrium shape of crystal surfaces ⋮ Some comments on developments in exact solutions in statistical mechanics since 1944 ⋮ The free energy singularity of the asymmetric six-vertex model and the excitations of the asymmetric \(XXZ\) chain ⋮ Bethe ansatz solution of discrete time stochastic processes with fully parallel update ⋮ Limit shapes of the stochastic six vertex model ⋮ Multiparameter deformed and non-standard \(Y(\text{gl}_M)\) Yangian symmetry in a novel class of spin Calogero-Sutherland models ⋮ Exactly solvable interacting vertex models ⋮ GUE corners process in boundary-weighed six-vertex models ⋮ Reaction-diffusion processes of hard-core particles.

Cites Work

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• The asymmetric six-vertex model
• Dynamic Scaling of Growing Interfaces
• Six-vertex model, roughened surfaces, and an asymmetric spin Hamiltonian

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