Bounded fluctuations and translation symmetry breaking in one-dimensional particle systems

DOI10.1023/A:1010397401128zbMath0999.82030arXivmath-ph/0007022OpenAlexW2949122225MaRDI QIDQ5942308

Michael Aizenman, Sheldon Goldstein, Joel L. Lebowitz

Publication date: 28 August 2001

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

Full work available at URL: https://arxiv.org/abs/math-ph/0007022

zbMATH Keywords

symmetry breakingspin chainsbounded variancedimensional lattice systemsone-dimensional Coulomb systemsone-dimensional systems of point chargessigned point measurestranslation invariant distribution

Mathematics Subject Classification ID

Classical equilibrium statistical mechanics (general) (82B05) Phase transitions (general) in equilibrium statistical mechanics (82B26) Quantum equilibrium statistical mechanics (general) (82B10)

Related Items (12)

Coulomb and Riesz gases: The known and the unknown ⋮ At the edge of a one-dimensional jellium ⋮ Determinantal processes with number variance saturation ⋮ Hyperuniform states of matter ⋮ Fluctuation operators and spontaneous symmetry breaking ⋮ On null-homology and stationary sequences ⋮ Wigner crystallization in the quantum 1D jellium at all densities ⋮ The random Weierstrass zeta function. I: Existence, uniqueness, fluctuations ⋮ Dimerization and Néel order in different quantum spin chains through a shared loop representation ⋮ Symmetry breaking in quasi-1D Coulomb systems ⋮ Realizability of point processes ⋮ Symmetry breaking in Laughlin's state on a cylinder

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