67 research outputs found
On the origin of the large scale structures of the universe
We revise the statistical properties of the primordial cosmological density
anisotropies that, at the time of matter radiation equality, seeded the
gravitational development of large scale structures in the, otherwise,
homogeneous and isotropic Friedmann-Robertson-Walker flat universe. Our
analysis shows that random fluctuations of the density field at the same
instant of equality and with comoving wavelength shorter than the causal
horizon at that time can naturally account, when globally constrained to
conserve the total mass (energy) of the system, for the observed scale
invariance of the anisotropies over cosmologically large comoving volumes.
Statistical systems with similar features are generically known as glass-like
or lattice-like. Obviously, these conclusions conflict with the widely accepted
understanding of the primordial structures reported in the literature, which
requires an epoch of inflationary cosmology to precede the standard expansion
of the universe. The origin of the conflict must be found in the widespread,
but unjustified, claim that scale invariant mass (energy) anisotropies at the
instant of equality over comoving volumes of cosmological size, larger than the
causal horizon at the time, must be generated by fluctuations in the density
field with comparably large comoving wavelength.Comment: New section added; final version to appear in Physical Review D;
discussion extended and detailed with new calculations to support the claims
of the paper; statistical properties of vacuum fluctuations now discussed in
the context of FRW flat universe; new important conclussions adde
Mesoscopic fluctuations of the ground state spin of a small metal particle
We study the statistical distribution of the ground state spin for an
ensemble of small metallic grains, using a random-matrix toy model. Using the
Hartree Fock approximation, we find that already for interaction strengths well
below the Stoner criterion there is an appreciable probability that the ground
state has a finite, nonzero spin. Possible relations to experiments are
discussed.Comment: 4 pages, RevTeX; 1 figure included with eps
Random-Matrix Theory of Quantum Size Effects on Nuclear Magnetic Resonance in Metal Particles
The distribution function of the local density of states is computed exactly
for the Wigner-Dyson ensemble of random Hamiltonians. In the absence of
time-reversal symmetry, precise agreement is obtained with the "supersymmetry"
theory by Efetov and Prigodin of the NMR lineshape in disordered metal
particles. Upon breaking time-reversal symmetry, the variance of the Knight
shift in the smallest particles is reduced by a universal factor of 2/3. ***To
be published in Physical Review B.****Comment: 4 pages, REVTeX-3.0, 1 postscript figure, INLO-PUB-940819; [2017:
figure included in text
Density of states in the non-hermitian Lloyd model
We reconsider the recently proposed connection between density of states in
the so-called ``non-hermitian quantum mechanics'' and the localization length
for a particle moving in random potential. We argue that it is indeed possible
to find the localization length from the density of states of a non-hermitian
random ``Hamiltonian''. However, finding the density of states of a
non-hermitian random ``Hamiltonian'' remains an open problem, contrary to
previous findings in the literature.Comment: 6 pages, RevTex, two-column
Long-range order and low-energy spectrum of diluted 2D quantum AF
The problem of diluted two-dimensional (2D) quantum antiferromagnet (AF) on a
square lattice is studied using spin-wave theory. The influence of impurities
on static and dynamic properties is investigated and a good agreement with
experiments and Monte Carlo (MC) data is found. The hydrodynamic description of
spin-waves breaks down at characteristic wavelengths
\Lambda\agt\exp(\frac{const}{x}), being an impurity concentration, while
the order parameter is free from anomalies. We argue that this dichotomy
originates from strong scattering of the low-energy excitations in 2D.Comment: PRL Award received, 4 pages, 3 figure
Wave Propagation in Stochastic Spacetimes: Localization, Amplification and Particle Creation
Here we study novel effects associated with electromagnetic wave propagation
in a Robertson-Walker universe and the Schwarzschild spacetime with a small
amount of metric stochasticity. We find that localization of electromagnetic
waves occurs in a Robertson-Walker universe with time-independent metric
stochasticity, while time-dependent metric stochasticity induces exponential
instability in the particle production rate. For the Schwarzschild metric,
time-independent randomness can decrease the total luminosity of Hawking
radiation due to multiple scattering of waves outside the black hole and gives
rise to event horizon fluctuations and thus fluctuations in the Hawking
temperature.Comment: 26 pages, 1 Postscript figure, submitted to Phys. Rev. D on July 29,
199
Levy flights in quenched random force fields
Levy flights, characterized by the microscopic step index f, are for f<2 (the
case of rare events) considered in short range and long range quenched random
force fields with arbitrary vector character to first loop order in an
expansion about the critical dimension 2f-2 in the short range case and the
critical fall-off exponent 2f-2 in the long range case. By means of a dynamic
renormalization group analysis based on the momentum shell integration method,
we determine flows, fixed point, and the associated scaling properties for the
probability distribution and the frequency and wave number dependent diffusion
coefficient. Unlike the case of ordinary Brownian motion in a quenched force
field characterized by a single critical dimension or fall-off exponent d=2,
two critical dimensions appear in the Levy case. A critical dimension (or
fall-off exponent) d=f below which the diffusion coefficient exhibits anomalous
scaling behavior, i.e, algebraic spatial behavior and long time tails, and a
critical dimension (or fall-off exponent) d=2f-2 below which the force
correlations characterized by a non trivial fixed point become relevant. As a
general result we find in all cases that the dynamic exponent z, characterizing
the mean square displacement, locks onto the Levy index f, independent of
dimension and independent of the presence of weak quenched disorder.Comment: 27 pages, Revtex file, 17 figures in ps format attached, submitted to
Phys. Rev.
Optimal Fluctuations and Tail States of non-Hermitian Operators
We develop a general variational approach to study the statistical properties
of the tail states of a wide class of non-Hermitian operators. The utility of
the method, which is a refinement of the instanton approach introduced by
Zittartz and Langer, is illustrated in detail by reference to the problem of a
quantum particle propagating in an imaginary scalar potential.Comment: 4 pages, 2 figures, to appear in PR
Transport of magnetoexcitons in single and coupled quantum wells
The transport relaxation time and the mean free path of
magnetoexcitons in single and coupled quantum wells are calculated ( is the
magnetic momentum of the magnetoexciton). We present the results for
magnetoexciton scattering in a random field due to (i) quantum well width
fluctuations, (ii) composite fluctuations and (iii) ionized impurities. The
time depends nonmonotonously on in the case (ii) and in the cases
(i), (iii) for smaller than some critical value ( is the interwell
separation, is the magnetic length). For the
transport relaxation time increases monotonously with . The magnetoexciton
mean free path has a maximum at in the cases (i), (iii).
It decreases with increasing . The mean free path calculated for the case
(ii) may have two maxima. One of them disappears with the variation of the
random fields parameters. The maximum of increases with for
types (i,iii) of scattering processes and decreases in the case (ii).Comment: 13 pages, 8 figures in EPS format; Physica Scripta (in print
Plasmon Modes and Correlation Functions in Quantum Wires and Hall Bars
We present microscopic derivations of the one-dimensional low-energy boson
effective Hamiltonians of quantum wire and quantum Hall bar systems. The
quantum Hall system is distinguished by its spatial separation of oppositely
directed electrons. We discuss qualitative differences in the plasmon
collective mode dispersions and the ground state correlation functions of the
two systems which are consequences of this difference. The slowly-decaying
quasi-solid correlations expected in a quantum wire are strongly suppressed in
quantum Hall bar systems.Comment: 7 pages, RevTex, 3 figures and 1 table included; references updated
and minor typos correcte
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