11,297 research outputs found
On the predictive power of Local Scale Invariance
Local Scale Invariance (LSI) is a theory for anisotropic critical phenomena
designed in the spirit of conformal invariance. For a given representation of
its generators it makes non-trivial predictions about the form of universal
scaling functions. In the past decade several representations have been
identified and the corresponding predictions were confirmed for various
anisotropic critical systems. Such tests are usually based on a comparison of
two-point quantities such as autocorrelation and response functions. The
present work highlights a potential problem of the theory in the sense that it
may predict any type of two-point function. More specifically, it is argued
that for a given two-point correlator it is possible to construct a
representation of the generators which exactly reproduces this particular
correlator. This observation calls for a critical examination of the predictive
content of the theory.Comment: 17 pages, 2 eps figure
Kinetics of the long-range spherical model
The kinetic spherical model with long-range interactions is studied after a
quench to or to . For the two-time response and correlation
functions of the order-parameter as well as for composite fields such as the
energy density, the ageing exponents and the corresponding scaling functions
are derived. The results are compared to the predictions which follow from
local scale-invariance.Comment: added "fluctuation-dissipation ratios"; fixed typo
Ageing without detailed balance: local scale invariance applied to two exactly solvable models
I consider ageing behaviour in two exactly solvable reaction-diffusion
systems. Ageing exponents and scaling functions are determined. I discuss in
particular a case in which the equality of two critical exponents, known from
systems with detailed balance, does not hold any more. Secondly it is shown
that the form of the scaling functions can be understood by symmetry
considerations.Comment: 6 pages, contribution to the summer school "Ageing and the Glass
Transition" held in Luxemburg in September 05. Published versio
Ageing in bosonic particle-reaction models with long-range transport
Ageing in systems without detailed balance is studied in bosonic contact and
pair-contact processes with Levy diffusion. In the ageing regime, the dynamical
scaling of the two-time correlation function and two-time response function is
found and analysed. Exact results for non-equilibrium exponents and scaling
functions are derived. The behaviour of the fluctuation-dissipation ratio is
analysed. A passage time from the quasi-stationary regime to the ageing regime
is defined, in qualitative agreement with kinetic spherical models and p-spin
spherical glasses.Comment: Latex2e, 24 pages, with 9 figures include
Getting Started in the Fall: Organized Reading Instruction
Based upon data from the preceding year, the teachers form reading groups, hand out the basals, and jump right into reading instruction. There are several disadvantages, however, in initiating a reading program in this manner. First, records indicating prior placements may not be accurate predictors of current placements: past reading group assignments themselves may have been inaccurate, and/or children may have regressed ( or possibly progressed) in reading ability over the summer. Second, teachers need time to get to know each individual child and his/her reading strengths and weaknesses before determining an instructional level and assigning him/her to a reading group. And third, students need time to readjust to school and warm up their reading skills before they can be expected to perform effectively in a rigorous, developmental reading program
Experimental assessment of the speed of light perturbation in free-fall absolute gravimeters
Precision absolute gravity measurements are growing in importance, especially
in the context of the new definition of the kilogram. For the case of free-fall
absolute gravimeters with a Michelson-type interferometer tracking the position
of a free falling body, one of the effects that needs to be taken into account
is the speed of light perturbation due to the finite speed of propagation of
light. This effect has been extensively discussed in the past, and there is at
present a disagreement between different studies. In this work, we present the
analysis of new data and confirm the result expected from the theoretical
analysis applied nowadays in free-fall gravimeters. We also review the standard
derivations of this effect (by using phase shift or Doppler effect arguments)
and show their equivalence
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