133,976 research outputs found
Local dynamics in high-order harmonic generation using Bohmian trajectories
We investigate high-order harmonic generation from a Bohmian-mechanical
perspective, and find that the innermost part of the core, represented by a
single Bohmian trajectory, leads to the main contributions to the high-harmonic
spectra. Using time-frequency analysis, we associate this central Bohmian
trajectory to an ensemble of unbound classical trajectories leaving and
returning to the core, in agreement with the three step model. In the Bohmian
scenario, this physical picture builds up non-locally near the core via the
quantum mechanical phase of the wavefunction. This implies that the flow of the
wavefunction far from the core alters the central Bohmian trajectory. We also
show how this phase degrades in time for the peripheral Bohmian trajectories as
they leave the core region.Comment: 7 pages, 3 figures; the manuscript has been considerably extended and
modified with regard to the previous version
Loop structure of the lowest Bloch band for a Bose-Einstein condensate
We investigate analytically and numerically Bloch waves for a Bose--Einstein
condensate in a sinusoidal external potential. At low densities the dependence
of the energy on the quasimomentum is similar to that for a single particle,
but at densities greater than a critical one the lowest band becomes
triple-valued near the boundary of the first Brillouin zone and develops the
structure characteristic of the swallow-tail catastrophe. We comment on the
experimental consequences of this behavior.Comment: 4 pages, 7 figure
A search for electron cyclotron maser emission from compact binaries
Unipolar induction (UI) is a fundamental physical process, which occurs when
a conducting body transverses a magnetic field. It has been suggested that UI
is operating in RX J0806+15 and RX J1914+24, which are believed to be
ultra-compact binaries with orbital periods of 5.4 min and 9.6 min
respectively. The UI model predicts that those two sources may be electron
cyclotron maser sources at radio wavelengths. Other systems in which UI has
been predicted to occur are short period extra-solar terrestrial planets with
conducting cores. If UI is present, circularly polarised radio emission is
predicted to be emitted. We have searched for this predicted radio emission
from short period binaries using the VLA and ATCA. In one epoch we find
evidence for a radio source, coincident in position with the optical position
of RX J0806+15. Although we cannot completely exclude that this is a chance
alignment between the position of RX J0806+15 and an artifact in the data
reduction process, the fact that it was detected at a significance level of 5.8
sigma and found to be transient, suggests that it is more likely that RX
J0806+15 is a transient radio source. We find an upper limit on the degree of
circular polarisation to be ~50%. The inferred brightness temperature exceeds
10^18 K, which is too high for any known incoherent process, but is consistent
with maser emission and UI being the driving mechanism. We did not detect radio
emission from ES Cet, RX J1914+24 or Gliese 876.Comment: Accepted for publication MNRA
Leak-rate of seals: comparison of theory with experiment
Seals are extremely useful devices to prevent fluid leakage. We present
experimental results for the leak-rate of rubber seals, and compare the results
to a novel theory, which is based on percolation theory and a recently
developed contact mechanics theory. We find good agreement between theory and
experiment.Comment: 6 pages, 10 figure
Chiral geometry of higher excited bands in triaxial nuclei with particle-hole configuration
The lowest six rotational bands have been studied in the particle-rotor model
with the particle-hole configuration
and different triaxiality parameter . Both constant and spin-dependent
variable moments of inertial (CMI and VMI) are introduced. The energy spectra,
electromagnetic transition probabilities, angular momentum components and
-distribution have been examined. It is shown that, besides the band 1 and
band 2, the predicted band 3 and band 4 in the calculations of both CMI and VMI
for atomic nuclei with could be interpreted as chiral doublet
bands.Comment: 4 pages, 4 figure
Critical manifold of the kagome-lattice Potts model
Any two-dimensional infinite regular lattice G can be produced by tiling the
plane with a finite subgraph B of G; we call B a basis of G. We introduce a
two-parameter graph polynomial P_B(q,v) that depends on B and its embedding in
G. The algebraic curve P_B(q,v) = 0 is shown to provide an approximation to the
critical manifold of the q-state Potts model, with coupling v = exp(K)-1,
defined on G. This curve predicts the phase diagram both in the ferromagnetic
(v>0) and antiferromagnetic (v<0) regions. For larger bases B the
approximations become increasingly accurate, and we conjecture that P_B(q,v) =
0 provides the exact critical manifold in the limit of infinite B. Furthermore,
for some lattices G, or for the Ising model (q=2) on any G, P_B(q,v) factorises
for any choice of B: the zero set of the recurrent factor then provides the
exact critical manifold. In this sense, the computation of P_B(q,v) can be used
to detect exact solvability of the Potts model on G.
We illustrate the method for the square lattice, where the Potts model has
been exactly solved, and the kagome lattice, where it has not. For the square
lattice we correctly reproduce the known phase diagram, including the
antiferromagnetic transition and the singularities in the Berker-Kadanoff
phase. For the kagome lattice, taking the smallest basis with six edges we
recover a well-known (but now refuted) conjecture of F.Y. Wu. Larger bases
provide successive improvements on this formula, giving a natural extension of
Wu's approach. The polynomial predictions are in excellent agreement with
numerical computations. For v>0 the accuracy of the predicted critical coupling
v_c is of the order 10^{-4} or 10^{-5} for the 6-edge basis, and improves to
10^{-6} or 10^{-7} for the largest basis studied (with 36 edges).Comment: 31 pages, 12 figure
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