It is rigorously proved that at any nonzero temperature, a one- or two-dimensional isotropic spin-$S$ Heisenberg model with finite-range exchange interaction can be neither ferromagnetic nor antiferromagnetic. The method of proof capable excluding variety types ordering in one and two dimensions.

The 'gas-liquid' ( alpha - ') part of the phase diagram hydrogen dissolved in metals is calculated and compared with experiments for H Nb. underlying lattice model includes a hard-core repulsion protons an elastic interaction mediated by host metal lattice. long-range this treated mean-field approximation. Low-density cluster expansions Monte Carlo calculations are investigated microscopic interaction. Reasonable agreement experimental data obtained if contribution properly taken into account.

The equilibrium structure of various crystal-fluid interfaces in hard-sphere and Lennard-Jones systems is investigated by a density functional approach based on weighted approximation which yields reliable bulk phase diagrams. practically free minimization the energy achieved. As result between fluid fcc crystal are found to have width typically seven diameters. A comparison with previous constrained variational calculations demonstrates that indispensable obtain values for surface tension....

Introduction and Status of Hydropower -- Terminology Legal Framework Physical Technical Basics Components Plants Hydraulic turbines: Types operational aspects Use Ocean Energies Economics Outlook for Hydropower.

In a follow-up study to previous analysis of the IRAS 1.2 Jy catalogue, we quantify morphological fluctuations in PSCz survey. We use variety measures, among them family scalar Minkowski functionals. confirm existence significant that are discernible volume-limited samples out 200h-1 Mpc. contrast earlier findings, comparisons with cosmological N-body simulations reveal observed roughly agree cosmic variance found corresponding mock samples. While two-point e.g. count-in-cells, fluctuate...

We propose a novel method for the description of spatial patterns formed by coverage point sets representing galaxy samples. This is based on complete family morphological measures known as Minkowski functionals, which includes topological Euler characteristic and geometric descriptors to specify content, shape connectivity sets. The numerically robust even small samples, independent statistical assumptions, yields global well local information. illustrate applying it Poisson process,...

The authors propose to probe the effects of a surface on critical behavior by x-ray and neutron scattering under conditions total reflection. It is shown that temperature angular dependence scattered intensity at grazing angles allows one determine three exponents ${\ensuremath{\beta}}_{1}$, ${\ensuremath{\gamma}}_{11}$, ${\ensuremath{\eta}}_{\ensuremath{\parallel}}$.

The general interaction between quasiparticles and particle-hole excitations in a neutral Fermi system at $T=0$ is investigated. Density spin-density fluctuations collective modes are treated on an equal basis. Use made of Ward identities to relate the vertex function $\ensuremath{\Gamma}$ quasiparticle self-energy $\ensuremath{\Sigma}$, logarithmic corrections obtained. coefficients terms calculated analytically known Landau parameters.

We introduce a phenomenological lattice model of interacting surfaces to relate the phase behavior microemulsions with random geometry and topology microstructures formed by self-assembling surfactants. The rests upon an effective Hamiltonian whose morphological character is manifest. In contrast earlier membrane models, we focus attention on energy parameters favoring multiply connected microstructures. By employing mean-field related approximations supported Monte Carlo simulations, study...

We introduce a multi-order parameter van der Waals theory for surface melting near the triple point Tt which is based on density functional techniques and includes long-range interparticle forces. As result we establish that attractive forces induce stretched exponential decay as T → of residual crystal order in quasi-liquid interfacial layer. If these are weak, crossover from logarithmic to power law growth - width occurs.