Correlations in two-component log-gas systems

@article{Alastuey1995CorrelationsIT,
  title={Correlations in two-component log-gas systems},
  author={Angel Alastuey and Peter J. Forrester},
  journal={Journal of Statistical Physics},
  year={1995},
  volume={81},
  pages={579-627}
}
A systematic study of the properties of particle and charge correlation functions in the two-dimensional Coulomb gas confined to a one-dimensional domain is undertaken. Two versions of this system are considered: one in which the positive and negative charges are constrained to alternate in sign along the line, and the other where there is no charge ordering constraint. Both systems undergo a zero-density Kosterlitz-Thouless-type transition as the dimensionless coupling Γ:=q2/kT is varied… 
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References

SHOWING 1-10 OF 46 REFERENCES
Correlations in the Kosterlitz-Thouless phase of the two-dimensional Coulomb gas
The particle and charge correlations of the two-dimensional Coulomb gas are studied in the dielectric phase. A term-by-term analysis of the low-fugacity expansions suggests that the large-distance
Exact results for correlations in a two-component log-gas
A study of the one-dimensional lattice gas of positive and negative charges interacting via the logarithmic potential is continued. The two-particle distribution functions are evaluated exactly at
Pairing transition of a one-dimensional classical plasma
A classical one-dimensional gas of charges ei=+or-1 with interaction potential - Sigma eiejIn(1+ mod xi-xj mod ) is shown to undergo a transition from a metallic (or plasma) state at high temperature
Solvable isotherms for a two-component system of charged rods on a line
The Coulomb system consisting of an equal number of positive and negative charged rods confined to a one-dimensional lattice is studied. The grand partition function can be calculated exactly at two
The two-dimensional Coulomb gas, vortex unbinding, and superfluid-superconducting films
The article reviews the two-dimensional Coulomb gas model and its connection to vortex fluctuations for a two-dimensional superfluid. The neutral and non-neutral versions of the Coulomb gas are
The critical properties of the two-dimensional xy model
The critical properties of the xy model with nearest-neighbour interactions on a two-dimensional square lattice are studied by a renormalization group technique. The mean magnetization is zero for
Ordering, metastability and phase transitions in two-dimensional systems
A new definition of order called topological order is proposed for two-dimensional systems in which no long-range order of the conventional type exists. The possibility of a phase transition
Classical Coulomb systems: Screening and correlations revisited
From the laws of macroscopic electrostatics of conductors (in particular, the existence of screening), taken as given, one can deduce universal properties for the thermal fluctuations in a classical
Charged rods in a periodic background: A solvable model
The one-component Coulomb system with logarithmic potential in a periodic background is considered. In one dimension, when the background has the same period as the average interparticle spacing, the
Positive and negative charged rods alternating along a line: Exact results
The Coulomb system consisting of an equal number of positive and negative charged rods confined to a line with the charges alternating in sign along the line is considered. By replacing the line with
...
1
2
3
4
5
...