6,656 research outputs found
Kaolin shear thickening fluid reinforced UHMWPE composites for protective clothing
This study reports the designing and reinforcing of impact resistant textile composites using kaolin based shear thickening colloidal dispersions as the filler material. The reinforced fabric is targeted for the chest protection of cricketers. A shear thickening fluid (STF) has been prepared using kaolin and glycerol, at kaolin volume fractions of 34% and 38%. A combination of mixing techniques including mechanical blending and ultra-sonication are used to prepare the colloidal dispersions. Ultra high molecular weight polyethylene (UHMWPE) woven fabric structures are reinforced with the STF. The fabric coated with STF are then measured for their flexibility, and impact resistance using Shirley stiffness tester and a series of modified drop tower tests respectively. Kaolin STF at 38% volume fraction shows best results in impregnated fabric samples. STF reinforced fabrics provide better impact resistance with improved moisture absorption and flexibility in comparison to the conventional chest guard material
Topologically massive magnetic monopoles
We show that in the Maxwell-Chern-Simons theory of topologically massive
electrodynamics the Dirac string of a monopole becomes a cone in anti-de Sitter
space with the opening angle of the cone determined by the topological mass
which in turn is related to the square root of the cosmological constant. This
proves to be an example of a physical system, {\it a priory} completely
unrelated to gravity, which nevertheless requires curved spacetime for its very
existence. We extend this result to topologically massive gravity coupled to
topologically massive electrodynamics in the framework of the theory of Deser,
Jackiw and Templeton. These are homogeneous spaces with conical deficit. Pure
Einstein gravity coupled to Maxwell-Chern-Simons field does not admit such a
monopole solution
Gravity-driven instability in a spherical Hele-Shaw cell
A pair of concentric spheres separated by a small gap form a spherical
Hele-Shaw cell. In this cell an interfacial instability arises when two
immiscible fluids flow. We derive the equation of motion for the interface
perturbation amplitudes, including both pressure and gravity drivings, using a
mode coupling approach. Linear stability analysis shows that mode growth rates
depend upon interface perimeter and gravitational force. Mode coupling analysis
reveals the formation of fingering structures presenting a tendency toward
finger tip-sharpening.Comment: 13 pages, 4 ps figures, RevTex, to appear in Physical Review
Casimir Force for Absorbing Media in an Open Quantum System Framework: Scalar Model
In this article we compute the Casimir force between two finite-width mirrors
at finite temperature, working in a simplified model in 1+1 dimensions. The
mirrors, considered as dissipative media, are modeled by a continuous set of
harmonic oscillators which in turn are coupled to an external environment at
thermal equilibrium. The calculation of the Casimir force is performed in the
framework of the theory of quantum open systems. It is shown that the Casimir
interaction has two different contributions: the usual radiation pressure from
vacuum, which is obtained for ideal mirrors without dissipation or losses, and
a Langevin force associated with the noise induced by the interaction between
dielectric atoms in the slabs and the thermal bath. Both contributions to the
Casimir force are needed in order to reproduce the analogous of Lifshitz
formula in 1+1 dimensions. We also discuss the relation between the
electromagnetic properties of the mirrors and the spectral density of the
environmentComment: Minor changes, version to appear in Phys. Rev.
Convergence to equilibrium under a random Hamiltonian
We analyze equilibration times of subsystems of a larger system under a
random total Hamiltonian, in which the basis of the Hamiltonian is drawn from
the Haar measure. We obtain that the time of equilibration is of the order of
the inverse of the arithmetic average of the Bohr frequencies. To compute the
average over a random basis, we compute the inverse of a matrix of overlaps of
operators which permute four systems. We first obtain results on such a matrix
for a representation of an arbitrary finite group and then apply it to the
particular representation of the permutation group under consideration.Comment: 11 pages, 1 figure, v1-v3: some minor errors and typos corrected and
new references added; v4: results for the degenerated spectrum added; v5:
reorganized and rewritten version; to appear in PR
Bound states in the dynamics of a dipole in the presence of a conical defect
In this work we investigate the quantum dynamics of an electric dipole in a
-dimensional conical spacetime. For specific conditions, the
Schr\"odinger equation is solved and bound states are found with the energy
spectrum and eigenfunctions determined. We find that the bound states spectrum
extends from minus infinity to zero with a point of accumulation at zero. This
unphysical result is fixed when a finite radius for the defect is introduced.Comment: 4 page
Elliptic Wess-Zumino-Witten Model from Elliptic Chern-Simons Theory
This letter continues the program aimed at analysis of the scalar product of
states in the Chern-Simons theory. It treats the elliptic case with group
SU(2). The formal scalar product is expressed as a multiple finite dimensional
integral which, if convergent for every state, provides the space of states
with a Hilbert space structure. The convergence is checked for states with a
single Wilson line where the integral expressions encode the Bethe-Ansatz
solutions of the Lame equation. In relation to the Wess-Zumino-Witten conformal
field theory, the scalar product renders unitary the
Knizhnik-Zamolodchikov-Bernard connection and gives a pairing between conformal
blocks used to obtain the genus one correlation functions.Comment: 18 pages, late
Chern-Simons States at Genus One
We present a rigorous analysis of the Schr\"{o}dinger picture quantization
for the Chern-Simons theory on 3-manifold torusline, with
insertions of Wilson lines. The quantum states, defined as gauge covariant
holomorphic functionals of smooth -connections on the torus, are
expressed by degree theta-functions satisfying additional conditions. The
conditions are obtained by splitting the space of semistable
-connections into nine submanifolds and by analyzing the behavior of
states at four codimension strata. We construct the
Knizhnik-Zamolodchikov-Bernard connection allowing to compare the states for
different complex structures of the torus and different positions of the Wilson
lines. By letting two Wilson lines come together, we prove a recursion relation
for the dimensions of the spaces of states which, together with the (unproven)
absence of states for spins\s>{_1\over^2}level implies the Verlinde dimension
formula.Comment: 33 pages, IHES/P
Stability and quasi-normal modes of charged black holes in Born-Infeld gravity
In this paper we study the stability and quasi-normal modes of scalar
perturbations of black holes. The static charged black hole considered here is
a solution to Born-Infeld electrodynamics coupled to gravity. We conclude that
the black hole is stable. We also compare the stability of it with its linear
counter-part Reissner-Nordstrom black hole. The quasi-normal modes are computed
using the WKB method. The behavior of these modes with the non-linear
parameter, temperature, mass of the scalar field and the spherical index are
analyzed in detail.Comment: Latex, 17 pages, 13 figures, some sections edited, references adde
Properties of Solutions in 2+1 Dimensions
We solve the Einstein equations for the 2+1 dimensions with and without
scalar fields. We calculate the entropy, Hawking temperature and the emission
probabilities for these cases. We also compute the Newman-Penrose coefficients
for different solutions and compare them.Comment: 16 pages, 1 figures, PlainTeX, Dedicated to Prof. Yavuz Nutku on his
60th birthday. References adde
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