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

DOI10.1007/s10955-014-1021-zzbMath1302.82133arXiv1308.5730OpenAlexW3101600700MaRDI QIDQ743422

Chang Chung Yu Dorea, S. Vasconcelos da Silva, Leandro M. Cioletti

Publication date: 24 September 2014

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

Full work available at URL: https://arxiv.org/abs/1308.5730

zbMATH Keywords

long-range interactionsIsing modelCLTdiffusive-ballistic phase transitionself-repelling random polymers

Mathematics Subject Classification ID

Statistical mechanics of polymers (82D60) 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)

Cites Work

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• Diffusive-ballistic transition in random walks with long-range self-repulsion
• Moderate deviations of dependent random variables related to CLT
• 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
• Kac polymers

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