A testbench for the nested dipole hypothesis of Kosterlitz and Thouless

@article{Alastuey1995ATF,
  title={A testbench for the nested dipole hypothesis of Kosterlitz and Thouless},
  author={Angel Alastuey and Peter J. Forrester},
  journal={Journal of Statistical Physics},
  year={1995},
  volume={79},
  pages={503-523}
}
We consider the two-dimensional one-component plasma without a background and confined to a half-plane near a metal wall. The particles are also subjected to an external potential acting perpendicular to the wall with an inverse-power-law Boltzmann factor. The model has a known solvable isotherm which exhibits a Kosterlitz-Thouless-type transition from a conductive to an insulator phase as the power law is varied. This allows predictions of theoretical methods of analyzing the Kosterlitz… 
3 Citations

Figures from this paper

Analysis of Kosterlitz-Thouless transition models
We consider the "dielectric" form of the Kosterlitz-Thouless meaneld theory of the Kosterlitz-Thouless transition. We show that this theory supports a continuum of essentially di erent versions, and

References

SHOWING 1-10 OF 16 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
Contribution of the three particle and higher order correlations to the computation of interface density profiles by density functional theories, for two dimensional plasmas
We estimate the importance of the three particle and higher order correlations in two density functional approaches respectively based on the Alastuey-Levesque expansion, and the density gradient
SOLVABLE MODEL OF THE PAIRING TRANSITION IN A TWO-DIMENSIONAL ONE-COMPONENT PLASMA/METAL INTERFACE MODEL
An exactly solvable model of the pairing transition from a conductive to an insulator phase in a two-dimensional, log-potential Coulomb system is given. The system considered is the one-component
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
On the theory of the phase transition in the two-dimensional planar spin model
It is shown that the scaling equations of Kosterlitz, which describe the phase transition in the two-dimensional planar spin model, can be derived from the earlier theory of Kosterlitz and Thouless
Sum rules for inhomogeneous Coulomb fluids, and ideal conductor boundary conditions
The charge correlation function of an inhomogeneous Coulomb fluid is shown to obey a sum rule involving electrical multipole moments of arbitrary order; this sum rule is a further generalization of
Delocalization transition of a classical two-dimensional Coulomb lattice.
The dielectric-plasma transition of the two-dimensional Coulomb gas, suitably mapped onto a delocalization transition, is investigated by molecular-dynamics simulations. The threshold temperature
Mayer coefficients in two-dimensional coulomb systems
We show that, for neutral systems of particles of arbitrary charges in two dimensions, with hard cores, coefficients of the Mayer series for the pressure exist in the thermodynamic limit below
J. Stat. Phys
  • J. Stat. Phys
  • 1992
J. Phys. (Paris) Ph. A. Martin, Rev. Mod. Phys
  • J. Phys. (Paris) Ph. A. Martin, Rev. Mod. Phys
  • 1986
...
1
2
...