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  • 1
    Electronic Resource
    Electronic Resource
    The ideally polarizable interface: The metallic boundary limit (1985)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 83 (1985), S. 2366-2367 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The model of a classical one-component plasma in the vicinity of a metallic hard wall is shown to be a limiting case of an ideally polarizable interface.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.449278
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Charged rods in a periodic background: A solvable model (1986)
    Springer
    Journal of statistical physics 42 (1986), S. 871-894 
    Details
    ISSN: 1572-9613
    Keywords: Kosterlitz-Thouless phase transition ; exact solvability ; one-component plasma
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract 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 system is exactly solvable for three values of the coupling constant. The exact solution exhibits insulating-conducting phase transitions. An heuristic argument is presented which predicts the phase diagram for this system.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01010450
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Solvable isotherms for a two-component system of charged rods on a line (1988)
    Springer
    Journal of statistical physics 51 (1988), S. 457-479 
    Details
    ISSN: 1572-9613
    Keywords: Random matrices ; quantum Brownian motion ; partition function zeros ; phase transition
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract 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 values of the coupling constantΓ=q 2/k B T (q denoting the magnitude of the charges). The exact results lead to the conjecture that in the complex scaled fugacity planeξ, all the zeros of the grand partition function lie on the negative real axis forΓ〈2, on the pointξ=−1 forΓ=2, and on the unit circle forΓ〉2. In addition, forΓ〉4, we conjecture in general and prove atΓ=4 that the zeros pinch the real axis in the thermodynamic limit, with an essential singularity in the pressure at the reduced density 1/2.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01028466
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    Modulated phases and the mean-field theory of magnetism with competing interactions (1988)
    Springer
    Journal of statistical physics 51 (1988), S. 519-536 
    Details
    ISSN: 1572-9613
    Keywords: Mean-field theory ; variational principle ; modulated phase ; ANNNI model
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The mean-field theory of an Ising magnet with infinitely weak, infinitely long-range potentials of arbitrary sign is presented in terms of a variational principle for the magnetization. Previous studies of the theory have revealed paramagnetic, ferromagnetic, and modulated phases. For a particular choice of potential, which is an obvious continuous version of the between-plane ANNNI model interaction, exact solutions of the stationary condition implied by the variational principle are obtained. This leads us to formulate a trial magnetization to well describe the modulated phase in general. To illustrate the utility of the trial magnetization, both analytic and numerical calculations are performed, which determine the wavenumber in certain portions of the modulated phase for the above-mentioned potential.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01028470
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  • 5
    Electronic Resource
    Electronic Resource
    Further exact solutions of the eight-vertex SOS model and generalizations of the Rogers-Ramanujan identities (1985)
    Springer
    Journal of statistical physics 38 (1985), S. 435-472 
    Details
    ISSN: 1572-9613
    Keywords: Statistical mechanics ; lattice statistics ; number theory ; eight-vertex model ; solid-on-solid model ; hard-hexagon model ; Rogers-Ramanujan identities
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The restricted eight-vertex solid-on-solid (SOS) model is an exactly solvable class of two-dimensional lattice models. To each sitei of the lattice there is associated an integer heightl i restricted to the range 1⩽l i ⩽r−1. The Boltzmann weights of the model are expressed in terms of elliptic functions of period 2K, and involve a parameterη. In an earlier paper we considered the caseη=K/r. Here we generalize those considerations to the caseη=sK/r, s an integer relatively prime tor. We are again led to generalizations of the Rogers-Ramanujan identities.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01010471
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  • 6
    Electronic Resource
    Electronic Resource
    Positive and negative charged rods alternating along a line: Exact results (1986)
    Springer
    Journal of statistical physics 45 (1986), S. 153-169 
    Details
    ISSN: 1572-9613
    Keywords: Kosterlitz-Thouless phase transition ; two-component plasma
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract 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 a lattice, one can calculate the grand partition function and correlations exactly for one value of the coupling constant. The exact solution exhibits features forbidden in the corresponding continuous system, in which each pair of oppositely charged rods also interact via a short-range repulsive potential, and there is no restriction on the ordering of the charges. The sum rule indicating the phase of the system is identified.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01033084
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    Paper (German National Licenses)
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  • 7
    Electronic Resource
    Electronic Resource
    Exact results for correlations in a two-component log-gas (1989)
    Springer
    Journal of statistical physics 54 (1989), S. 57-79 
    Details
    ISSN: 1572-9613
    Keywords: Insulator-conductor phase transition ; two-component plasma ; exact solution
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract 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 the couplingsΓ=2 and 4. It is proved that theΓ=4 isotherm exhibits an insulator-conductor phase transition at the reduced density 1/2, and the scaling behavior of the correlations near this critical point is given. Similarities of the conjectured phase diagram with that of a one-dimensional one-component log-gas in a periodic potential are noted.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01023473
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    Paper (German National Licenses)
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  • 8
    Electronic Resource
    Electronic Resource
    Vicious random walkers in the limit of a large number of walkers (1989)
    Springer
    Journal of statistical physics 56 (1989), S. 767-782 
    Details
    ISSN: 1572-9613
    Keywords: Random walk ; Coulomb gas ; orthogonal polynomials
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The vicious random walker problem on a line is studied in the limit of a large number of walkers. The multidimensional integral representing the probability that thep walkers will survive a timet (denotedP t (p) ) is shown to be analogous to the partition function of a particular one-component Coulomb gas. By assuming the existence of the thermodynamic limit for the Coulomb gas, one can deduce asymptotic formulas forP t (p) in the large-p, large-t limit. A straightforward analysis gives rigorous asymptotic formulas for the probability that after a timet the walkers are in their initial configuration (this event is termed a reunion). Consequently, asymptotic formulas for the conditional probability of a reunion, given that all walkers survive, are derived. Also, an asymptotic formula for the conditional probability density that any walker will arrive at a particular point in timet, given that allp walkers survive, is calculated in the limitt≫p.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01016779
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    Paper (German National Licenses)
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