Diffusive-ballistic transition in random walks with long-range self-repulsion

DOI10.1007/s11005-007-0217-4zbMath1159.82308arXiv0712.0508OpenAlexW3105902856MaRDI QIDQ1013603

Rémy Sanchis, Aldo Procacci, Benedetto Scoppola

Publication date: 20 April 2009

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0712.0508

zbMATH Keywords

long-range interactionsdiffusive-ballistic phase transitionone-dimensional Ising modelself-repelling random walks

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (1)

Diffusive-ballistic transition in random polymers with drift and repulsive long-range interactions

Cites Work

• The phase transition in the one-dimensional Ising model with \(1/r^2\) interaction energy
• Decay of the two-point function in one-dimensional \(\text{O}(N)\) spin models with long-range interactions.
• A new inductive approach to the lace expansion for self-avoiding walks
• Discontinuity of the percolation density in one dimensional \(1/| x- y| ^ 2\) percolation models
• Discontinuity of the magnetization in one-dimensional \(1/| x-y| ^ 2\) Ising and Potts models.
• Existence of a phase-transition in a one-dimensional Ising ferromagnet
• Statistical mechanics of lattice systems
• Statistical mechanics of a one-dimensional lattice gas
• Kac polymers

This page was built for publication: Diffusive-ballistic transition in random walks with long-range self-repulsion