• Corpus ID: 117581855

Thermally Increasing Correlation/Modulation Lengths and Other Selection Rules in Systems with Long Range Interactions

@article{Nussinov2005ThermallyIC,
  title={Thermally Increasing Correlation/Modulation Lengths and Other Selection Rules in Systems with Long Range Interactions},
  author={Zohar Nussinov},
  journal={arXiv: Soft Condensed Matter},
  year={2005}
}
  • Z. Nussinov
  • Published 22 June 2005
  • Physics
  • arXiv: Soft Condensed Matter
In this article, addressing large $n$ systems, we report that in numerous systems hosting long and short range interactions, multiple correlation lengths may appear. The largest correlation lengths often monotonically increase with temperature and diverge in the high temperature limit. Notwithstanding, the magnitude of the correlations themselves decreases with increasing temperature. We examine correlation function in the presence of competing interactions of long and short ranges. The… 
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References

SHOWING 1-7 OF 7 REFERENCES
AVOIDED CRITICAL BEHAVIOR IN O(N) SYSTEMS
Long-range frustrating interactions, even if their strength is infinitesimal, can give rise to a dramatic proliferations of ground or near-ground states. As a consequence, the ordering temperature…
Domain Shapes and Patterns: The Phenomenology of Modulated Phases
TLDR
The phenomenology of these patterns, and of the shapes of their constituent domains, is reviewed here from a point of view that interprets these patterns as a manifestation of modulated phases.
Dynamics and thermodynamics of systems with long-range interactions
Dynamics and Thermodynamics of Systems with Long-Range Interactions: An Introduction.- Dynamics and Thermodynamics of Systems with Long-Range Interactions: An Introduction.- Statistical Mechanics.-…
Ensemble Inequivalence in Mean-Field Models of Magnetism
Mean-field models, while they can be cast into an extensive thermodynamic formalism, are inherently non additive. This is the basic feature which leads to ensemble inequivalence in these models. In…
From Jupiter's Great Red Spot to the structure of galaxies: statistical mechanics of two-dimensional vortices and stellar systems.
  • P. Chavanis
  • Physics
    Annals of the New York Academy of Sciences
  • 1998
The statistical mechanics of two-dimensional vortices and stellar systems both at equilibrium and out of equilibrium are discussed, with emphasis on the analogies (and on the differences) between…
Kinetic Theory for Plasmas and Wave-Particle Hamiltonian Dynamics
The plasma limit is characterized by the fact that a particle interacts with many partners. The dynamics leads to the Vlasov equation in the mean-field limit. Collective behaviour in the N-body…
Thermally Increasing Correlation/Modulation Lengths and Other Selection Rules in Systems with Long Range Interactions
  • cond-mat/0506554 (June
  • 2005