15,582 research outputs found
Do Athermal Amorphous Solids Exist?
We study the elastic theory of amorphous solids made of particles with finite
range interactions in the thermodynamic limit. For the elastic theory to exist
one requires all the elastic coefficients, linear and nonlinear, to attain a
finite thermodynamic limit. We show that for such systems the existence of
non-affine mechanical responses results in anomalous fluctuations of all the
nonlinear coefficients of the elastic theory. While the shear modulus exists,
the first nonlinear coefficient B_2 has anomalous fluctuations and the second
nonlinear coefficient B_3 and all the higher order coefficients (which are
non-zero by symmetry) diverge in the thermodynamic limit. These results put a
question mark on the existence of elasticity (or solidity) of amorphous solids
at finite strains, even at zero temperature. We discuss the physical meaning of
these results and propose that in these systems elasticity can never be
decoupled from plasticity: the nonlinear response must be very substantially
plastic.Comment: 11 pages, 11 figure
Horizontal divergence of typhoon-generated gravity waves in the upper troposphere and lower stratosphere (UTLS) and its influence on typhoon evolution
The characteristics of horizontal divergence induced by typhoon-generated
gravity waves (HDTGWs) and the influence of HDTGW on typhoon evolution are
investigated based on the simulation results of Typhoon Saomai (2006) using
the Weather Research and Forecasting (WRF) model. The power spectral density
of HDTGW shows dominant powers at horizontal wavelengths of 20–30 km and at
periods of less than 1 h. This is associated with gravity waves
generated by vigorous convective clouds in an inner core region of the
typhoon. However, the domain-averaged HDTGW in the upper troposphere and
lower stratosphere had a spectral peak at 24 h, which is well correlated
with the minimum sea-level pressure of the typhoon, especially during a
rapidly developing period. The 24 h period of the averaged HDTGW stems
from the inertia–gravity waves generated by the convective clouds in the
spiral rainbands, and showed no clear association with the thermal tides or
the diurnal variation of precipitation
Putative spin liquid in the triangle-based iridate BaIrTiO
We report on thermodynamic, magnetization, and muon spin relaxation
measurements of the strong spin-orbit coupled iridate BaIrTiO,
which constitutes a new frustration motif made up a mixture of edge- and
corner-sharing triangles. In spite of strong antiferromagnetic exchange
interaction of the order of 100~K, we find no hint for long-range magnetic
order down to 23 mK. The magnetic specific heat data unveil the -linear and
-squared dependences at low temperatures below 1~K. At the respective
temperatures, the zero-field muon spin relaxation features a persistent spin
dynamics, indicative of unconventional low-energy excitations. A comparison to
the isostructural compound BaRuTiO suggests that a concerted
interplay of compass-like magnetic interactions and frustrated geometry
promotes a dynamically fluctuating state in a triangle-based iridate.Comment: Physical Review B accepte
Hamiltonian Analysis of Poincar\'e Gauge Theory: Higher Spin Modes
We examine several higher spin modes of the Poincar\'e gauge theory (PGT) of
gravity using the Hamiltonian analysis. The appearance of certain undesirable
effects due to non-linear constraints in the Hamiltonian analysis are used as a
test. We find that the phenomena of field activation and constraint bifurcation
both exist in the pure spin 1 and the pure spin 2 modes. The coupled spin-
and spin- modes also fail our test due to the appearance of constraint
bifurcation. The ``promising'' case in the linearized theory of PGT given by
Kuhfuss and Nitsch (KRNJ86) likewise does not pass. From this analysis of these
specific PGT modes we conclude that an examination of such nonlinear constraint
effects shows great promise as a strong test for this and other alternate
theories of gravity.Comment: 30 pages, submitted to Int. J. Mod. Phys.
Hysteresis and the dynamic phase transition in thin ferromagnetic films
Hysteresis and the non-equilibrium dynamic phase transition in thin magnetic
films subject to an oscillatory external field have been studied by Monte Carlo
simulation. The model under investigation is a classical Heisenberg spin system
with a bilinear exchange anisotropy in a planar thin film geometry with
competing surface fields. The film exhibits a non-equilibrium phase transition
between dynamically ordered and dynamically disordered phases characterized by
a critical temperature Tcd, whose location of is determined by the amplitude H0
and frequency w of the applied oscillatory field. In the presence of competing
surface fields the critical temperature of the ferromagnetic-paramagnetic
transition for the film is suppressed from the bulk system value, Tc, to the
interface localization-delocalization temperature Tci. The simulations show
that in general Tcd < Tci for the model film. The profile of the time-dependent
layer magnetization across the film shows that the dynamically ordered and
dynamically disordered phases coexist within the film for T < Tcd. In the
presence of competing surface fields, the dynamically ordered phase is
localized at one surface of the film.Comment: PDF file, 21 pages including 8 figure pages; added references,typos
added; to be published in PR
A micro optical probe for edge contour evaluation of diamond cutting tools
This paper presents a micro optical probe, which is employed to evaluate
edge contours of single point diamond tools with a size in a range of
several millimetres. The micro optical probe consists of a laser source with
a wavelength of 405 nm, an objective lens with a numerical aperture of 0.25,
a photodiode for measurement, and a compensating optical system including
another photodiode for compensation of laser intensity. A collimated laser
beam, which is divided by a beam splitter in the compensating optical
system, is focused by the objective lens so that the focused spot can be
used as the micro optical probe. The micro optical probe traces over an edge
contour of an objective tool while the signals of both the two photodiodes
are monitored. The output of the photodiode for measurement is compensated
by using that of the photodiode for laser intensity compensation to
eliminate the influence of the laser instability. The signal of the
photodiode for measurement is used to define the deviation of edge contour
within the diameter of the micro optical probe. To verify the feasibility of
the developed optical probe, the optical system was mounted on a diamond
turning machine, and some experiments were carried out. Two types of edge
contours of the diamond tools having a straight cutting edge and a round
cutting edge were measured on the machine
Influence of oxygen vacancy on the electronic structure of HfO film
We investigated the unoccupied part of the electronic structure of the
oxygen-deficient hafnium oxide (HfO) using soft x-ray absorption
spectroscopy at O and Hf edges. Band-tail states beneath the
unoccupied Hf 5 band are observed in the O -edge spectra; combined with
ultraviolet photoemission spectrum, this indicates the non-negligible
occupation of Hf 5 state. However, Hf -edge magnetic circular dichroism
spectrum reveals the absence of a long-range ferromagnetic spin order in the
oxide. Thus the small amount of electron gained by the vacancy formation
does not show inter-site correlation, contrary to a recent report [M.
Venkatesan {\it et al.}, Nature {\bf 430}, 630 (2004)].Comment: 5 pages, 4 figures, submitted to Phys. Rev.
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