259 research outputs found
Noncommutative Extension of AdS-CFT and Holographic Superconductors
In this Letter, we consider a Non-Commutative (NC) extension of AdS-CFT
correspondence and its effects on holographic superconductors. NC corrections
are incorporated via the NC generalization of Schwarzschild black hole metric
in AdS with the probe limit. We study NC effects on the relations connecting
the charge density and the critical temperature of the Holographic
Superconductors. Furthermore, condensation operator of the superconductor has
been analyzed. Our results suggest that generically, NC effects increase the
critical temperature of the holographic superconductor.Comment: One figure is added, modification in formalism and noncommutative
effects emergent from star product has been removed. Results altered but main
conclusions remain unchanged. To appear in Phys.Lett.
Soliton solutions, Liouville integrability and gauge equivalence of Sasa Satsuma equation
Exact integrability of the Sasa Satsuma eqation (SSE) in the Liouville sense
is established by showing the existence of an infinite set of conservation
laws. The explicit form of the conserved quantities in term of the fields are
obtained by solving the Riccati equation for the associated 3x3 Lax operator.
The soliton solutions in particular, one and two soliton solutions, are
constructed by the Hirota's bilinear method. The one soliton solutions is also
compared with that found through the inverse scattering method. The gauge
equivalence of the SSE with a generalized Landau Lifshitz equation is
established with the explicit construction oComment: 14 pages, to be published in J. Math. Phys. April-May, 199
Effects of a Maximal Energy Scale in Thermodynamics for Photon Gas and Construction of Path Integral
In this article, we discuss some well-known theoretical models where an
observer-independent energy scale or a length scale is present. The presence of
this invariant scale necessarily deforms the Lorentz symmetry. We study
different aspects and features of such theories about how modifications arise
due to this cutoff scale. First we study the formulation of energy-momentum
tensor for a perfect fluid in doubly special relativity (DSR), where an energy
scale is present. Then we go on to study modifications in thermodynamic
properties of photon gas in DSR. Finally we discuss some models with
generalized uncertainty principle (GUP).Comment: This is a review article based on our works arXiv:1002.0192,
arXiv:0908.0413, arXiv:1205.3919; v2: text overlap with gr-qc/0207085 remove
Mueller matrix polarimetry of plasmon resonant silver nano-rods: biomedical prospects
Fundamental understanding of the light-matter interaction in the context of
nano-particles is immensely bene- fited by the study of geometry dependent
tunable Localized Surface Plasmon Resonance (LSPR) and has been demonstrated to
have potential applications in various areas of science. The polarization
characteristics of LSPR in addition to spectroscopic tuning can be suitably
exploited in such systems as contrast enhancement mech- anisms and control
parameters. Such polarization characteristics like diattenuation and retardance
have been studied here using a novel combination of Muller-matrix polarimetry
with the T-matrix matrix approach for silver nano-rods to show unprecedented
control and sensitivity to local refractive index variations. The study carried
out over various aspect ratios for a constant equal volume sphere radius shows
the presence of longitu- dinal (dipolar and quadrupolar) and transverse
(dipolar) resonances; arising due to differential contribution of
polarizabilities in two directions. The overlap regions of these resonances and
the resonances themselves exhibit enhanced retardance and diattenuation
respectively. The spectral and amplitude tunability of these polarimetric
parameters through the aspect ratios to span from the minimum to maximum ([0,
1] in the case of diattenuation and [0, {\pi}] in the case of retardance)
presents a novel result that could be used to tailor systems for study of
biological media. On the other hand, the high sensitivity of diattenuation dip
(caused by equal contribution of polarizabilities) could be possibly used for
medium characterization and bio-sensing or bio-imaging studies.Comment: 8 pages, 6 figures, Proceedings of the Saratov Fall Meeting, 201
Equity divestment and profit rate performance for sustainable development: a study of central public sector enterprises in India
Disinvestment can be described as a way of action whereby the Government withdraws its equity capital either in part or in full in public sector enterprises. From 1991-92, the Government of India undertake the process of divesting its equity shares in CPSEs.
The present study has inspected the impact of equity divestment on profit rate performance in terms of ROCE of the CPSEs in India during the period 1998-99 to 2017-18. The study concluded that CPSEs have a proficient negative impact of equity divestment on their overall profit rate performance during the study period. However, the CPSEs have been able to sustain satisfactory average ROCE in the competitive market economy.
Key Words: Equity Divestment, Profit Rate, CPSEs, ROCE
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