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Showing papers in "Physica D: Nonlinear Phenomena in 1972"


Journal ArticleDOI
TL;DR: It is shown that the function which for the random-cluster model plays the role of a partition function, is a generalization of the dichromatic polynomial earlier introduced by Tutte, and related polynomials.

1,664 citations


Journal ArticleDOI
F.N. Hooge1
TL;DR: In this paper, the experimental evidence for the existence of bulk 1/ǫ noise is discussed and an empirical relation between the magnitude of the noise and the number of free charge carriers is given.

228 citations


Journal ArticleDOI
TL;DR: In this article, a thermodynamically consistent and accurate correlation of the properties B, μ, k, b, D, μ 12, k 12, D 12, B 12 for the monatomic gases and their binary mixtures is presented.

170 citations


Journal ArticleDOI
TL;DR: In this paper, the authors compared the performance of the modified Enskog theory with some other theories, and found that the theory gave reasonable agreement with experiment (to within about 10-15%) for densities generally not exceeding twice the critical density.

147 citations


Journal ArticleDOI
C.M. Fortuin1
TL;DR: In this paper, the possibility of a phase transition in an infinite simple random-cluster model (0 ≤ p ≤ 1, k ≥ 1), including the percolation model and the ferromagnetic Ising and Ashkin-Teller-Potts model, is studied by means of several criteria for large range connectivity.

119 citations


Journal ArticleDOI
TL;DR: In this paper, the authors investigated the singularities observable at second-order phase transitions (e.g., the divergence of the specific heat) can only occur if the size of the considered system is very large (strictly speaking).

118 citations


Journal ArticleDOI
TL;DR: The relationship among several criteria of large-range connectivity in an infinite percolation model is investigated in this paper, where it is shown that the role of infinity can, in a certain sense, be taken over by a supplementary vertex.

116 citations


Journal ArticleDOI
TL;DR: In this article, the magnetic phase diagram of the antiferromagnetic structure of a typical layer-type ferromagnet has been established and the differential magnetic susceptibility χ = (∂M/∂H)T of (C2H5NH3)2CuCl4 has been studied as a function of an extra external field (0-2 kOe) and of temperature (1-30 K; Tc = 10.20 K).

110 citations


Journal ArticleDOI
TL;DR: In this paper, it was shown that the hydrodynamic frequencies for the sound, shear and heat modes in a classical hard-sphere gas have a nonanalytic dependence on the wave number k of the form Ak + Bk2 + Ck 5 2 + …. The presence of k 5 2 terms is an application of the kinetic theory which predicts the asymptotic time behavior ≃ t 3 2 of current-current correlation functions.

99 citations


Journal ArticleDOI
TL;DR: In this paper, a parametric potential approach was used to obtain relativistic wave functions for many-electron atoms, including hyperfine-structure constants, transition probabilities, and lifetimes.

87 citations


Journal ArticleDOI
W. Peier1
TL;DR: In this article, the authors derived exact equations of motion for a system interacting with a reservoir by means of projection-operator techniques, and the kernel of the master equation obtained in case a) is investigated in the thermodynamic limit of the reservoir.

Journal ArticleDOI
TL;DR: In this paper, the energy-eigenvalue problem for a simple model of hamiltonian systems with discrete spectra is solved, and the behavior of these solutions in limits for which continuum parts appear in the energy spectrum is studied.

Journal ArticleDOI
TL;DR: In this article, an attempt was made to calculate the influence of fluctuations in concentration on the deviations from linearity of Arrott plots for alloys, and a simple analytical formula for this effect was derived which involves the second moment of the concentration fluctuations and was found to give reasonable qualitative agreement with observed deviations in a variety of alloys.

Journal ArticleDOI
TL;DR: In this article, the stopping power of fast electrons and positrons was derived for relativistic electron and positron going through a plasma, where the authors used the scattering cross sections of Moller (electron-electron) and Bhabha (positronelectron).

Journal ArticleDOI
TL;DR: In this paper, the problem of the couplage entre the mouvements of molecules differentes is investigated. But the problem is not limited to the use of seconds moments of RMN.

Journal ArticleDOI
TL;DR: In this article, all invariants, the coherent states and the Green function for a particle moving in time-dependent uniform perpendicular electric and magnetic fields are constructed, and the transition amplitudes and probabilities between the energy levels and their generating functions are constructed too.

Journal ArticleDOI
TL;DR: In this article, the shape of well resolved spectral lines for emission, absorption, and scattering phenomena in gases is studied by a kinetic-equation approach, and a spectral function is derived which reduces to a Doppler profile and collision-broadened lorentzian line at low and high densities, respectively, and describes the Dicke narrowing phenomenon at intermediate densities.

Journal ArticleDOI
TL;DR: In this article, the direct coupling of light to the entropy fluctuations is shown to renormalize the elasto-optic constants, so that in the quasistatic limits the isothermal and adiabatic coefficients follow from microscopic theory in agreement with thermodynamics.

Journal ArticleDOI
TL;DR: Oscillator-strength spectra are reported for the formulation of the charge states one to four following N and M ionization in Kr and O and N ionisation in Xe.

Journal ArticleDOI
TL;DR: In this article, a reformulation du probleme ergodique permet d'aborder cette question des systemes a nombre infini de degres liberte que nous allons etudier dans une publication ulterieure.

Journal ArticleDOI
TL;DR: In this paper, an optical study of the excitation of the nsnp6 2S 1 2 ionic level in Ne, Ar, Kr and Xe by electron impact was made, observing the vacuum-ultraviolet radiation, originating from the ns2np52P 1 2, 3 2 transitions.

Journal ArticleDOI
TL;DR: The experimental evidence is in favour of the existence of a finite T(2)c transition temperature for the ideal 2-dimensional Heisenberg magnet with anisotropy, where T 2 c is the transition temperature corresponding to the new type of magnetic phase, χ = ∞ but Ms = 0, as proposed by Stanley and Kaplan as discussed by the authors.

Journal ArticleDOI
TL;DR: In this article, the influence of second-neighbour interactions, anisotropy and interlayer exchange within the noninteracting spin-wave theory was calculated for low-temperature specific heat experiments on 11 compounds between 0.15 and 0.7 K.

Journal ArticleDOI
TL;DR: In this article, a systematic theoretical study of dipolar electric transition probabilities in noble-gas spectra is presented, where the role of near configuration interaction is emphasized. But the performance of this method is limited due to its accuracy and its limitation.

Journal ArticleDOI
TL;DR: For the inelastic-collision processes M + X 2 → M + + (X + X - ), where the transition to the ionic state takes place via pseudo-crossing of the neutral and ionic ground states, the relative differential cross section has been measured at a kinetic energy of the colliding particles in the eV range as discussed by the authors.


Journal ArticleDOI
TL;DR: In this paper, the authors developed a theory to describe the vibrational relaxation of anharmonic-oscillator molecules due to collisions, including the effects of both translation-vibration (T-V) and vibration-vibrration (V-V), and obtained analytical results for the case of high vibrational temperatures and low translational temperatures.

Journal ArticleDOI
G.P. Beukema1
TL;DR: In this article, the influence of sparks and ion bombardment on the emitting properties of the electrodes and consequently on the breakdown voltage of a vacuum gap was investigated, and it appeared that the fieldenhancement factor β can be reduced by sparking from about 100 to 10 for the stainless steel cathode and from about 120 to 30 for the copper cathode.

Journal ArticleDOI
TL;DR: In this paper, continuous oscillator-strength spectra were obtained for the production of N + 2, N + (N ++ 2 ), CO +, C +, O + and CO ++, via outer-shell excitations.

Journal ArticleDOI
TL;DR: In this article, the influence of a magnetic field on the shear viscosity of the gases N2, CO, CH4, CF4, HD and O2 at room temperature is reported.