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We have demonstrated the importance of the surface chemical character of the substrate in the phenomenon of critical adsorption — the long-range perturbation of chemical concentration in a critical binary liquid mixture by a boundary. By measuring the reflectivity of the solid/liquid interface...
We present a scaling theory for the vibrational properties of tenuous fractal objects and a numerical calculation of the density of states for percolation clusters and diffusion-limited aggregates. A microscopic elastic Hamiltonian is used, which contains bending energy terms and properly...
Adsorption of a binary liquid mixture near criticality onto a solid glass substrate can be studied using light reflected off the glass/liquid boundary. Reflectivity data analyzed with a modified Landau-Ginzburg theory using a contact wall interaction are consistent with an exponential decay of...
The time-correlation functions 〈s ^ x (t)s ^ x (0)〉 and 〈s ^ x (t)s ^ y (0)〉 are evaluated for an arbitrary infinite-range axially symmetric Hamiltonian with an arbitrary elementary spin. The behavior above the critical temperature as well as that for the three possible types of ordered...
We study the continuous-wave (cw) NMR spectrum of a two-dimensional p -wave superfluid He 3 film. Two thickness regimes are considered: thickness comparable to the interparticle separation, and thickness much larger than the interparticle separation but smaller than the superfluid coherence...
We present exact explicit expressions for the spin-spin correlation functions 〈 σ 0 , 0 σ m , n 〉 for (m,n)=(2,1), (3,1), (3,2), (4,1), (4,2), and (4,3) in the isotropic d =2 Ising model. We also infer a general structural formula for arbitrary 〈 σ 0 , 0 σ m , n 〉 in terms of complete...
A generalization of the helical Potts model, with two species of domain wall due to explicit triaxial helical symmetry breaking, is studied via position-space renormalization-group methods and is discovered to exhibit striped, as well as hexagonal, phases. The disordering transition of the...
Monte Carlo simulations confirm the conjecture that the order X of the elementary reaction A+A→products in a fractal medium with random-walk exponent f is given by X=1+ f - 1 . Specifically for a percolating cluster (f=(2/3), X=(5/2)) we get X=2.5±0.1 .
In three-dimensional nearly magnetic Fermi liquids, disorder due to impurity scattering is shown to enhance the paramagnon strength and to weaken the triplet superconductivity pair-breaking parameter (through weak-localization quantum effects). As a result (a) ‘‘heavy fermion’’...
The transfer-matrix formalism is used to determine the effect of an external field on the free energy per spin, susceptibility, and specific heat of a Dzialoshinski-Moriya chain. The results are similar to antiferromagnetic xy chains in a transverse field.
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