2,253 research outputs found
The roughness of stylolites: Implications of 3D high resolution topography measurements
Stylolites are natural pressure-dissolution surfaces in sedimentary rocks. We
present 3D high resolution measurements at laboratory scales of their complex
roughness. The topography is shown to be described by a self-affine scaling
invariance. At large scales, the Hurst exponent is and
very different from that at small scales where . A
cross-over length scale at around \L_c =1~mm is well characterized.
Measurements are consistent with a Langevin equation that describes the growth
of a stylolitic interface as a competition between stabilizing long range
elastic interactions at large scales or local surface tension effects at small
scales and a destabilizing quenched material disorder.Comment: 4 pages, 4 figure
Top quark production at future lepton colliders in the asymptotic regime
The production of a tt(bar) pair from lepton-antilepton annihilation is
considered for values of the center of mass energy much larger than the top
mass, typically of the few TeV size. In this regime a number of simplifications
occurs that allows to derive the leading asymptotic terms of various
observables using the same theoretical description that was used for light
quark production. Explicit examples are shown for the Standard Model and the
Minimal Supersymmetric Standard Model cases.Comment: 20 pages and 13 figures. e-mail: [email protected]
Microscopic model for Bose-Einstein condensation and quasiparticle decay
Sufficiently dimerized quantum antiferromagnets display elementary S=1
excitations, triplon quasiparticles, protected by a gap at low energies. At
higher energies, the triplons may decay into two or more triplons. A strong
enough magnetic field induces Bose-Einstein condensation of triplons. For both
phenomena the compound IPA-CuCl3 is an excellent model system. Nevertheless no
quantitative model was determined so far despite numerous studies. Recent
theoretical progress allows us to analyse data of inelastic neutron scattering
(INS) and of magnetic susceptibility to determine the four magnetic couplings
J1=-2.3meV, J2=1.2meV, J3=2.9meV and J4=-0.3meV. These couplings determine
IPA-CuCl3 as system of coupled asymmetric S=1/2 Heisenberg ladders
quantitatively. The magnetic field dependence of the lowest modes in the
condensed phase as well as the temperature dependence of the gap without
magnetic field corroborate this microscopic model.Comment: 6 pages, 5 figure
Equal Time Correlations in Haldane Gap Antiferromagnets
The antiferromagnetic Heisenberg chain both with and without single ion
anisotropy is studied. Using the recently proposed density matrix
renormalization group technique we calculate the energy gaps as well as several
different correlation functions. The two gaps, ,
along with associated correlation lengths and velocities are determined. The
numerical results are shown to be in good agreement with theoretical
predictions derived from the nonlinear sigma model and a free boson model. We
also study the excitations that occur at the ends of open chains; in
particular we study the behavior associated with open boundary conditions,
using a model of spins coupled to the free bosons.Comment: 32 pages, uufiles encoded REVTEX 3.0, 19 postscript figures included,
UBCTP-93-02
Z' Physics
The limits on extra neutral gauge bosons, which could be reached at LEP2, are
reviewed. Exclusion and discovery limits are discussed for f\bar f and WW
production.Comment: 20 pages Latex, 7 figures included by epsfig, Contribution to the
Proceedings the workshop "Physics at LEP2", Geneva, 199
Matrix-product-groundstates for one-dimensional spin-1 quantum antiferromagnets
We have found the exact groundstate for a large class of antiferromagnetic
spin-1 models with nearest-neighbour interactions on a linear chain. All
groundstate properties can be calculated. The groundstate is determined as a
matrix product of individual site states and has the properties of the Haldane
scenario.Comment: 8 pages (plain tex), preprint cologne-93-471
Excitation Spectrum of Antiferromagnetic Chains
The dynamical structure factor of the antiferromagnetic
Heisenberg chain with length 20 at zero temperature is calculated. The lowest
energy states have the delta-function peak at the region . At the lowest energy states are the lower-edge
of the continuum of the scattering state, the strength of which decreases for
large systems. This gives a reasonable explanation for the experimental fact
that no clear peak is observed at the region . This situation is more
apparent for valence-bond solid state. On the contrary for
antiferromagnetic Heisenberg chain the lowest energy states are always the edge
of the continuum.Comment: 14pages, Revtex 3.0, No.279
Fracture Roughness Scaling: a case study on planar cracks
Using a multi-resolution technique, we analyze large in-plane fracture fronts
moving slowly between two sintered Plexiglas plates. We find that the roughness
of the front exhibits two distinct regimes separated by a crossover length
scale . Below , we observe a multi-affine regime and the
measured roughness exponent is in
agreement with the coalescence model. Above , the fronts are
mono-affine, characterized by a roughness exponent , consistent with the fluctuating line model. We relate the
crossover length scale to fluctuations in fracture toughness and the stress
intensity factor
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