2,308 research outputs found
Energy transfer in binary collisions of two gyrating charged particles in a magnetic field
Binary collisions of the gyrating charged particles in an external magnetic
field are considered within a classical second-order perturbation theory, i.e.,
up to contributions which are quadratic in the binary interaction, starting
from the unperturbed helical motion of the particles. The calculations are done
with the help of a binary collisions treatment which is valid for any strength
of the magnetic field and involves all harmonics of the particles cyclotron
motion. The energy transfer is explicitly calculated for a regularized and
screened potential which is both of finite range and nonsingular at the origin.
The validity of the perturbation treatment is evaluated by comparing with
classical trajectory Monte Carlo (CTMC) calculations which also allow to
investigate the strong collisions with large energy and velocity transfer at
low velocities. For large initial velocities on the other hand, only small
velocity transfers occur. There the nonperturbative numerical CTMC results
agree excellently with the predictions of the perturbative treatment.Comment: 12 pages, 4 figure
Suspensions Thermal Noise in the LIGO Gravitational Wave Detector
We present a calculation of the maximum sensitivity achievable by the LIGO
Gravitational wave detector in construction, due to limiting thermal noise of
its suspensions. We present a method to calculate thermal noise that allows the
prediction of the suspension thermal noise in all its 6 degrees of freedom,
from the energy dissipation due to the elasticity of the suspension wires. We
show how this approach encompasses and explains previous ways to approximate
the thermal noise limit in gravitational waver detectors. We show how this
approach can be extended to more complicated suspensions to be used in future
LIGO detectors.Comment: 28 pages, 13 figure
W-spin and B-spin subgroups of SU(12)
Calculations of many physical processes according to the SU(12) theories(1) can be facilitated by the use of appropriate subgroups of SU(12). Direct calculations are difficult because of the complexity of the group and the present lack of available Clebsch-Gordan coefficients. Tables of SU(6) Clebsch-Gordan coefficients do exist,(2) however, and have been used for calculations of non-relativistic processes. In this paper we present SU(6) subgroups which differ from the conventional SU(6) by the replacement of ordinary spin by different SU(2) subgroups of SU(12)
Thermodynamics of a mixed quantum-classical Heisenberg model in two dimensions
We study the planar antiferromagnetic Heisenberg model on a decorated
hexagonal lattice, involving both classical spins (occupying the vertices) and
quantum spins (occupying the middle of the links). This study is motivated by
the description of a recently synthesized molecular magnetic compound. First,
we trace out the spin 1/2 degrees of freedom to obtain a fully classical model
with an effective ferromagnetic interaction. Then, using high temperature
expansions and Monte Carlo simulations, we analyse its thermal and magnetic
properties. We show that it provides a good quantitative description of the
magnetic susceptibility of the molecular magnet in its paramagnetic phase.Comment: Revtex, 6 pages, 4 included postscript figures, fig.1 upon request to
[email protected] . To appear in J. of Physic C (condensed matter
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