ZIB

1

Digitale Medien

Exact calculation of the ground-state single-particle Green's function for the 1/r2 quantum many-body system at integer coupling (1995)

Forrester, P. J.

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 36 (1995), S. 86-96

zur Merkliste hinzufügen auf der Merkliste

Details

ISSN: 1089-7658

Quelle: AIP Digital Archive

Thema: Mathematik , Physik

Notizen: The ground-state single-particle Green's function describing hole propagation is calculated exactly for the 1/r2 quantum many-body system at integer coupling. The result is in agreement with a recent conjecture of Haldane. © 1995 American Institute of Physics.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1063/1.531328

Permalink

Bibliothek	Standort	Signatur	Band/Heft/Jahr	Verfügbarkeit

Andere fanden auch interessant ...

Artikel (Nationallizenzen)

Volltext

2

Digitale Medien

Symmetric Jack polynomials from non-symmetric theory (1999)

Baker, T. H. ; Forrester, P. J.

Springer

Annals of combinatorics 3 (1999), S. 159-170

zur Merkliste hinzufügen auf der Merkliste

Details

ISSN: 0219-3094

Schlagwort(e): 33C80 ; Jack polynomials ; symmetric functions

Quelle: Springer Online Journal Archives 1860-2000

Thema: Mathematik

Notizen: Abstract We show how a number of fundamental properties of the symmetric and anti-symmetric Jack polynomials can be derived from knowledge of the corresponding properties of the nonsymmetric Jack polynomials. These properties include orthogonality relations, normalization formulas, a specialization formula and the evaluation of a proportionality constant relating the anti-symmetric Jack polynomials to a product of differences multiplied by the symmetric Jack polynomials with a shifted parameter.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF01608781

Permalink

Bibliothek	Standort	Signatur	Band/Heft/Jahr	Verfügbarkeit

Andere fanden auch interessant ...

Artikel (Nationallizenzen)

Volltext

3

Digitale Medien

A testbench for the nested dipole hypothesis of Kosterlitz and Thouless (1995)

Alastuey, A. ; Forrester, P. J.

Springer

Journal of statistical physics 79 (1995), S. 503-523

zur Merkliste hinzufügen auf der Merkliste

Details

ISSN: 1572-9613

Schlagwort(e): Kosterlitz-Thouless transition ; Coulomb gas ; renormalization equations ; correlations ; exact solution

Quelle: Springer Online Journal Archives 1860-2000

Thema: Physik

Notizen: Abstract 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-Thouless transition to be compared with the exact solution. In particular, we calculate the asymptotic density profile by resumming its low-fugacity expansion near the zero-density critical coupling in the insulator phase, and solving a mean-field equation deduced from the first BGY equation. Agreement with the exact solution is obtained. As the former calculation makes essential use of the nested dipole hypothesis of Kosterlitz and Thouless, the validity of this hypothesis is explicitly verified.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF02184869

Permalink

Bibliothek	Standort	Signatur	Band/Heft/Jahr	Verfügbarkeit

Andere fanden auch interessant ...

Artikel (Nationallizenzen)

Volltext

4

Digitale Medien

Universality in some classical Coulomb systems of restricted dimension (1996)

Forrester, P. J. ; Jancovici, B. ; Téllez, G.

Springer

Journal of statistical physics 84 (1996), S. 359-378

zur Merkliste hinzufügen auf der Merkliste

Details

ISSN: 1572-9613

Schlagwort(e): Universality ; Coulomb systems ; finite-size effects ; solvable models

Quelle: Springer Online Journal Archives 1860-2000

Thema: Physik

Notizen: Abstract Coulomb systems in which the particles interact through thed-dimensional Coulomb potential but are confined in a flat manifold of dimensiond−1 are considered. The actual Coulomb potential acting is defined by particular boundary conditions involving a characteristic macroscopic distanceW in the direction perpendicular to the manifold: either it is periodic of periodW in that direction, or it vanishes on one ideal conductor wall parallel to the manifold at a distanceW from it, or it vanishes on two parallel walls at a distanceW from each other with the manifold equidistant from them. Under the assumptions that classical equilibrium statistical mechanics is applicable and that the system has the macroscopic properties of a conductor, it is shown that the suitably smoothed charge correlation function is universal, and that the free energy and the grand potential have universal dependences onW (universal means independent of the microscopic detail). The casesd=2 are discussed in detail, and the generic results are checked on an exactly solvable model. The cased=3 of a plane parallel to an ideal conductor is also explicitly worked out.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF02179647

Permalink

Bibliothek	Standort	Signatur	Band/Heft/Jahr	Verfügbarkeit

Andere fanden auch interessant ...

Artikel (Nationallizenzen)

Volltext

5

Digitale Medien

The two-dimensional two-component plasma plus background on a sphere: Exact results (1996)

Forrester, P. J. ; Jancovici, B.

Springer

Journal of statistical physics 84 (1996), S. 337-357

zur Merkliste hinzufügen auf der Merkliste

Details

ISSN: 1572-9613

Schlagwort(e): Coulomb gas ; solvable models ; finite-size corrections

Quelle: Springer Online Journal Archives 1860-2000

Thema: Physik

Notizen: Abstract An exact solution is given for a two-dimensional model of a Coulomb gas, more general than the previously solved ones. The system is made up of a uniformly charged background, positive particles, and negative particles, on the surface of a sphere. At the special value Γ=2 of the reduced inverse temperature, the classical equilibrium statistical mechanics is worked out: the correlations and the grand potential are calculated. The thermodynamic limit is taken, and as it is approached the grand potential exhibits a finite-size correction of the expected universal form.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF02179646

Permalink

Bibliothek	Standort	Signatur	Band/Heft/Jahr	Verfügbarkeit

Andere fanden auch interessant ...

Artikel (Nationallizenzen)

Volltext

6

Digitale Medien

Correlations in two-component log-gas systems (1995)

Alastuey, A. ; Forrester, P. J.

Springer

Journal of statistical physics 81 (1995), S. 579-627

zur Merkliste hinzufügen auf der Merkliste

Details

ISSN: 1572-9613

Schlagwort(e): Kosterlitz-Thouless transition ; log-gas systems ; correlations ; fugacity expansions ; sum rules

Quelle: Springer Online Journal Archives 1860-2000

Thema: Physik

Notizen: Abstract 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:=q 2/kT is varied through Γ=2. In the charge-ordered system we use a perturbation technique to establish anO(1/r 4) decay of the two-body correlations in the high-temperature limit. For Γ→2+, the low-fugacity expansion of the asymptotic charge-charge correlation can be resummed to all orders in the fugacity. The resummation leads to the Kosterlitz renormalization equations. In the system without charge ordering the two-body correlations exhibit anO(1/r 2) decay in the high-temperature limit, with a universal amplitude for the charge-charge correlation which is associated with the state being conductive. Low-fugacity expansions establish anO(1/r Γ) decay of the two-body correlations for 2〈Γ〈4 and anO(1/r 4) decay for Γ〉4. For both systems we derive sum rules which relate the long-wavelength behaviour of the Fourier transform of the charge correlations to the dipole carried by the screening cloud surrounding two opposite internal charges. These sum rules are checked for specific solvable models. Our predictions for the Kosterlitz-Thouless transition and the large-distance behavior of the correlations should be valid at low densities. At higher densities, both systems might undergo a first-order liquid-gas transition analogous to the two-dimensional case.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF02179249

Permalink

Bibliothek	Standort	Signatur	Band/Heft/Jahr	Verfügbarkeit

Andere fanden auch interessant ...

Artikel (Nationallizenzen)

Volltext

7

Digitale Medien

Exact Finite-Size Study of the 2D OCP at Γ=4 and Γ=6 (1999)

Téllez, G. ; Forrester, P. J.

Springer

Journal of statistical physics 97 (1999), S. 489-521

zur Merkliste hinzufügen auf der Merkliste

Details

ISSN: 1572-9613

Schlagwort(e): Coulomb gas ; one-component plasma ; symmetric polynomials ; finite-size corrections ; second-moment sum rules

Quelle: Springer Online Journal Archives 1860-2000

Thema: Physik

Notizen: Abstract An exact numerical study is undertaken into the finite-N calculation of the free energy and distribution functions for the two-dimensional one-component plasma. Both disk and sphere geometries are considered, with the coupling Γ set equal to 4 and 6. Extrapolation of our data for the free energy is consistent with the existence of a universal term (χ/12)logN, where χ denotes the Euler characteristic of the surface, as predicted theoretically. The exact finite-N density profile is shown to give poor agreement with the contact theorem relating the density at contact and potential drop to the pressure in the thermodynamic limit. This is understood theoretically via a known finite-N version of the contact theorem. Furthermore, the ideas behind the derivation of the latter result are extended to give a sum rule for the second moment of the pair correlation in the finite disk, which in the thermodynamic limit converges to the Stillinger–Lovett result.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1023/A:1004654923170

Permalink

Bibliothek	Standort	Signatur	Band/Heft/Jahr	Verfügbarkeit

Andere fanden auch interessant ...

Artikel (Nationallizenzen)

Volltext