6,235 research outputs found
Remarks on non-gaussian fluctuations of the inflaton and constancy of \zeta outside the horizon
We point out that the non-gaussianity arising from cubic self interactions of
the inflaton field is proportional to \xi N_e where \xi ~ V"' and N_e is the
number of e-foldings from horizon exit till the end of inflation. For scales of
interest N_e = 60, and for models of inflation such as new inflation, natural
inflation and running mass inflation \xi is large compared to the slow roll
parameter \epsilon ~ V'^{2}. Therefore the contribution from self interactions
should not be outrightly ignored while retaining other terms in the
non-gaussianity parameter f_{NL}. But the N_e dependent term seems to imply the
growth of non-gaussianities outside the horizon. Therefore we briefly discuss
the issue of the constancy of correlations of the curvature perturbation \zeta
outside the horizon. We then calculate the 3-point function of the inflaton
fluctuations using the canonical formalism and further obtain the 3-point
function of \zeta_k. We find that the N_e dependent contribution to f_{NL} from
self interactions of the inflaton field is cancelled by contributions from
other terms associated with non-linearities in cosmological perturbation
theory.Comment: 16 pages, Minor changes, matches the published version. v3: Minor
typo correcte
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Two-fluid temperature-dependent relativistic waves in magnetized streaming pair plasmas
A relativistic two-fluid temperature-dependent approach for a streaming magnetized pair plasma is considered. Such a scenario corresponds to secondary plasmas created at the polar caps of pulsar magnetospheres. In the model the generalized vorticity rather than the magnetic field is frozen into the fluid. For parallel propagation four transverse modes are found. Two are electromagnetic plasma modes which at high temperature become light waves. The remaining two are Alfveacutenic modes split into a fast and slow mode. The slow mode is cyclotron two-stream unstable at large wavelengths and is always subluminous. We find that the instability cannot be suppressed by temperature effects in the limit of large (finite) magnetic field. The fast Alfveacuten mode can be superluminous only at large wavelengths, however it is always subluminous at high temperatures. In this incompressible approximation only the ordinary mode is present for perpendicular propagation. For oblique propagation the dispersion relation is studied for finite and large strong magnetic fields and the results are qualitatively described.Institute for Fusion Studie
The Optical Hygrometer and its Working
In this paper, the description of the construction of the optical hygrometer
is given. It works on the principle of a balance in the form of a rod supported by two loose
screws and at right angles to it there is another rod having two pans on its ends, rigidly
Attached with it. One pan contains the substance having high power of absorption and desorption
of moisture and the other pan balancing weights. the rotation of the rod which is proportional to the change in humidity is measured by the lamp and scale arrangement. The theory, its sensitiveness and working are discussed in detail. A few observations recorded with this instrument are compared with those of the other kinds of hygrometers
Multidimensional Binary Vector Assignment problem: standard, structural and above guarantee parameterizations
In this article we focus on the parameterized complexity of the
Multidimensional Binary Vector Assignment problem (called \BVA). An input of
this problem is defined by disjoint sets , each
composed of binary vectors of size . An output is a set of disjoint
-tuples of vectors, where each -tuple is obtained by picking one vector
from each set . To each -tuple we associate a dimensional vector by
applying the bit-wise AND operation on the vectors of the tuple. The
objective is to minimize the total number of zeros in these vectors. mBVA
can be seen as a variant of multidimensional matching where hyperedges are
implicitly locally encoded via labels attached to vertices, but was originally
introduced in the context of integrated circuit manufacturing.
We provide for this problem FPT algorithms and negative results (-based
results, [2]-hardness and a kernel lower bound) according to several
parameters: the standard parameter i.e. the total number of zeros), as well
as two parameters above some guaranteed values.Comment: 16 pages, 6 figure
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