11,477 research outputs found
Impulse distributions in dense granular flows: signatures of large-scale spatial structures
In this paper we report the results of simulations of a 2D gravity driven,
dissipative granular flow through a hopper system. Measurements of impulse
distributions P(I) on the simulated system show flow-velocity-invariant
behavior of the distribution for impulses larger than the average impulse .
For small impulses, however, P(I) decreases significantly with flow velocity, a
phenomenon which can be attributed exclusively to collisions between grains
undergoing frequent collisions. Visualizations of the system also show that
these frequently colliding particles tend to form increasingly large linear
clusters as the flow velocity decreases. A model is proposed for the form of
P(I), given distributions of cluster size and velocity, which accurately
predicts the observed form of the distribution. Thus the impulse distribution
provides some insight into the formation and properties of these ``dynamic''
force chains.Comment: 4 pages, 4 figure
Transfer of Graphene with Protective Oxide Layers
Transfer of graphene, grown by Chemical Vapor Deposition (CVD), to a
substrate of choice, typically involves deposition of a polymeric layer
(typically, poly(methyl methacrylate, PMMA or polydimethylsiloxane, PDMS).
These polymers are quite hard to remove without leaving some residues behind.
Here we study a transfer of graphene with a protective thin oxide layer. The
thin oxide layer is grown by Atomic Deposition Layer (ALD) on the graphene
right after the growth stage on Cu foils. One can further aid the
oxide-graphene transfer by depositing a very thin polymer layer on top of the
composite (much thinner than the usual thickness) following by a more
aggressive polymeric removal methods, thus leaving the graphene intact. We
report on the nucleation growth process of alumina and hafnia films on the
graphene, their resulting strain and on their optical transmission. We suggest
that hafnia is a better oxide to coat the graphene than alumina in terms of
uniformity and defects.Comment: 13 pgs, 13 figure
Quantum critical phenomena of long-range interacting bosons in a time-dependent random potential
We study the superfluid-insulator transition of a particle-hole symmetric
system of long-range interacting bosons in a time-dependent random potential in
two dimensions, using the momentum-shell renormalization-group method. We find
a new stable fixed point with non-zero values of the parameters representing
the short- and long-range interactions and disorder when the interaction is
asymptotically logarithmic. This is contrasted to the non-random case with a
logarithmic interaction, where the transition is argued to be first-order, and
to the Coulomb interaction case, where either a first-order transition or
an XY-like transition is possible depending on the parameters. We propose that
our model may be relevant in studying the vortex liquid-vortex glass transition
of interacting vortex lines in point-disordered type-II superconductors.Comment: 10 pages, 3 figure
Interfacial Tensions near Critical Endpoints: Experimental Checks of EdGF Theory
Predictions of the extended de Gennes-Fisher local-functional theory for the
universal scaling functions of interfacial tensions near critical endpoints are
compared with experimental data. Various observations of the binary mixture
isobutyric acid water are correlated to facilitate an analysis of the
experiments of Nagarajan, Webb and Widom who observed the vapor-liquid
interfacial tension as a function of {\it both} temperature and density.
Antonow's rule is confirmed and, with the aid of previously studied {\it
universal amplitude ratios}, the crucial analytic ``background'' contribution
to the surface tension near the endpoint is estimated. The residual singular
behavior thus uncovered is consistent with the theoretical scaling predictions
and confirms the expected lack of symmetry in . A searching test of
theory, however, demands more precise and extensive experiments; furthermore,
the analysis highlights, a previously noted but surprising, three-fold
discrepancy in the magnitude of the surface tension of isobutyric acid
water relative to other systems.Comment: 6 figure
Off-Diagonal Long Range Order and Scaling in a Disordered Quantum Hall System
We have numerically studied the bosonic off-diagonal long range order,
introduced by Read to describe the ordering in ideal quantum Hall states, for
noninteracting electrons in random potentials confined to the lowest Landau
level. We find that it also describes the ordering in disordered quantum Hall
states: the proposed order parameter vanishes in the disordered
() phase and increases continuously from zero in the ordered
() phase. We study the scaling of the order parameter and
find that it is consistent with that of the one-electron Green's function.Comment: 10 pages and 4 figures, Revtex v3.0, UIUC preprint P-94-03-02
Universal Scaling of Strong-Field Localization in an Integer Quantum Hall Liquid
We study the Landau level localization and scaling properties of a disordered
two-dimensional electron gas in the presence of a strong external magnetic
field. The impurities are treated as random distributed scattering centers with
parameterized potentials. Using a transfer matrix for a finite-width strip
geometry, we calculate the localization length as a function of system size and
electron energy. The finite-size localization length is determined by
calculating the Lyapunov exponents of the transfer matrix. A detailed
finite-size scaling analysis is used to study the critical behavior near the
center of the Landau bands. The influence of varying the impurity
concentration, the scattering potential range and its nature, and the Landau
level index on the scaling behavior and on the critical exponent is
systematically investigated. Particular emphasis is put on studying the effects
of finite range of the disorder potential and Landau level coupling on the
quantum localization behavior. Our numerical results, which are carried out on
systems much larger than those studied before, indicate that pure
-function disorder in the absence of any Landau level coupling gives
rise to non-universal localization properties with the critical exponents in
the lowest two Landau levels being substantially different. Inclusion of a
finite potential range and/or Landau level mixing may be essential in producing
universality in the localization.Comment: 28 pages, Latex, 17 figures (available upon request), #phd0
Dual superfluid-Bose glass critical point in two dimensions and the universal conductivity
We study the continuum version of the dual theory for a system of
two-dimensional, zero temperature, disordered bosons, interacting with short
range repulsion and at a commensurate density. The dual theory, which describes
vortices in the bosonic ground state, and has a form of 3D classical scalar
electrodynamics in random, correlated magnetic field, admits a new disordered
critical point within RG calculation at fixed dimension. The universal
conductivity and the critical exponents at the superfluid-Bose glass critical
point are calculated as series in fixed-point values of the dual coupling
constants, to the lowest non-trivial order: ,
and . The comparison with numerical results and experiments
is discussed.Comment: 8 pages, LaTex, some clarifications and references adde
Anisotropic Magnetoconductance in Quench-Condensed Ultrathin Beryllium Films
Near the superconductor-insulator (S-I) transition, quench-condensed
ultrathin Be films show a large magnetoconductance which is highly anisotropic
in the direction of the applied field. Film conductance can drop as much as
seven orders of magnitude in a weak perpendicular field (< 1 T), but is
insensitive to a parallel field in the same field range. We believe that this
negative magnetoconductance is due to the field de-phasing of the
superconducting pair wavefunction. This idea enables us to extract the finite
superconducting phase coherence length in nearly superconducting films. Our
data indicate that this local phase coherence persists even in highly
insulating films in the vicinity of the S-I transition.Comment: 4 pages, 4 figure RevTex, Typos Correcte
Passive scalars, random flux, and chiral phase fluids
We study the two-dimensional localization problem for (i) a classical
diffusing particle advected by a quenched random mean-zero vorticity field, and
(ii) a quantum particle in a quenched random mean-zero magnetic field. Through
a combination of numerical and analytic techniques we argue that both systems
have extended eigenstates at a special point in the spectrum, , where a
sublattice decomposition obtains. In a neighborhood of this point, the Lyapunov
exponents of the transfer-matrices acquire ratios characteristic of conformal
invariance allowing an indirect determination of for the typical spatial
decay of eigenstates.Comment: use revtex, two-column, 4 pages, 5 postscript figures, submitted to
PR
Low Temperature Expansions for Potts Models
On simple cubic lattices, we compute low temperature series expansions for
the energy, magnetization and susceptibility of the three-state Potts model in
D=2 and D=3 to 45 and 39 excited bonds respectively, and the eight-state Potts
model in D=2 to 25 excited bonds. We use a recursive procedure which enumerates
states explicitly. We analyze the series using Dlog Pade analysis and
inhomogeneous differential approximants.Comment: (17 pages + 8 figures
- …