In the molecular field approximation, one derives an expression of the static dielectric constant of an isotropic liquid involving renormalized expressions of the molecular dipole and polarizability. The long-range moderate attractive forces are treated as a perturbation of the short-range...

Koopman's Lemma states that if a flow Tt is measure preserving for a measure μ on a constant energy surface Ω, then the flow generates a one parameter family of unitary operators Ut on L2 (Ω, μ). We show here a converse, namely that under certain (physically motivated) conditions a unitary...

The energies and the entropies of the spin-glass state and the paramagnetic state at T = 0 of the random-bond Ising mixture of the ferromagnetic bond (concentration p) and the antiferromagnetic bond (concentration 1 − p) on the square lattice are calculated by the method of the square...

We study a quantal time-dependent oscillator in the presence of a loss mechanism. We generalize to the damped oscillator the classical exact invariant found by Lewis for the undamped one. The quantal operator Ĵ associated with this constant of motion has no constant expectation values when the...

We derive an integral equation for the self-consistent local field Eloc(z) within an inhomogeneous non-polar fluid, with particular application to the liquid-vapour interface. Approximate solutions are given for the cases of induced atomic dipoles oriented perpendicular and parallel to the...

Measurements of the collisional broadening of the Depolarized Rayleigh (DPR) line have been performed for the hydrogen isotopes H2, D2 and HD at various temperatures between 28 K and 293 K. For H2 the dependence of the broadening coefficient on the ortho-para composition has also been...

The calculation of critical exponents by combining finite size scaling and the transfer matrix technique is proposed and applied to the two-dimensional q-state Potts model. The exact results for q = 2 are very accurately reproduced. For q = 3, our results suggest α = 13and δ = 14. Convergence...

The shear viscosity coefficient of compressed gaseous and liquid methane has been measured at temperatures between 100 and 300 K and at pressures up to 30 MPa (4350 psia) with a torsionally oscillating quartz crystal viscometer. The estimated precision and accuracy of the measurements are about...

The tension of the interface between a noncritical phase α and a near-critical phase βγ, or between α and the individual β and γ phases into which βγ separates, is discussed. A thermodynamic description of a critical end point is given, earlier theoretical results on the interfacial...

We extend to Bernoulli systems the explicit construction (elaborated previously for the baker transformation) of non-unitary, invertible transformations Λ, which associate Markovian processes admitting an H-theorem with the unitary dynamical group, through a similarity relation. We characterize...