Non-vanishing boundary effects and quasi-first-order phase transitions in high dimensional Ising models

DOI10.1016/j.nuclphysb.2010.12.002zbMath1207.82012arXiv1010.5958OpenAlexW2076264294MaRDI QIDQ632118

Klas Markström, Per Håkan Lundow

Publication date: 14 March 2011

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.5958

zbMATH Keywords

phase transitionsIsing modelboundary effects

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Percolation (82B43) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (10)

The scaling window of the 5D Ising model with free boundary conditions ⋮ First-order transition in the stacked-\(J_1\)-\(J_2\) Ising model on a cubic lattice ⋮ Finite size scaling of the 5D Ising model with free boundary conditions ⋮ Revising the universality class of the four-dimensional Ising model ⋮ The discontinuity of the specific heat for the 5D Ising model ⋮ Hyperscaling above the upper critical dimension ⋮ Boundary effects on finite-size scaling for the 5-dimensional Ising model ⋮ The length of self-avoiding walks on the complete graph ⋮ The effect of free boundary conditions on the Ising model in high dimensions ⋮ Universal finite-size scaling for percolation theory in high dimensions

Cites Work

• Geometric analysis of \(\phi^ 4\) fields and Ising models. I, II
• Comparison of perturbative RG theory with lattice data for the 4d Ising model
• Repairing Stevenson's step in the 4d Ising model
• Random graph asymptotics on high-dimensional tori
• A Monte Carlo sampling scheme for the Ising model
• On the number of incipient spanning clusters
• Quelques Propriétés Générales De L'intégrale De Configuration D'un Système De Particules Avec Interaction
• Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition

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