1,328 research outputs found
Some Paranormed Difference Sequence Spaces of Order Derived by Generalized Means and Compact Operators
We have introduced a new sequence space
combining by using generalized means and difference operator of order . We
have shown that the space is complete under some
suitable paranorm and it has Schauder basis. Furthermore, the -,
-, - duals of this space is computed and also obtained necessary
and sufficient conditions for some matrix transformations from to . Finally, we obtained some identities or
estimates for the operator norms and the Hausdorff measure of noncompactness of
some matrix operators on the BK space by
applying the Hausdorff measure of noncompactness.Comment: Please withdraw this paper as there are some logical gap in some
results. 20 pages. arXiv admin note: substantial text overlap with
arXiv:1307.5883, arXiv:1307.5817, arXiv:1307.588
Relating transverse structure of various parton distributions
We present the results of T-even TMDs in a light front quark-diquark model of
nucleons with the wave functions constructed from the soft-wall AdS/QCD
prediction. The relations amongst TMDs are discussed. The dependence
of the TMDs are compared with the -dependence of the GPDs. AdS/QCD wave
function provides an explanation behind the approximate and
factorization observed in lattice TMD calculations.Comment: 11 pages, 8 figures, modified extensively, added new results and
discusssion
Dynamic phase transition in the conversion of B-DNA to Z-DNA
The long time dynamics of the conformational transition from B-DNA to Z-DNA
is shown to undergo a dynamic phase transition. We obtained the dynamic phase
diagram for the stability of the front separating B and Z. The instability in
this front results in two split fronts moving with different velocities. Hence,
depending on the system parameters a denatured state may develop dynamically
eventhough it is thermodynamically forbidden. This resolves the current
controversies on the transition mechanism of the B-DNA to Z-DNA.Comment: 5 pages, 4 figures. New version with correction of typos, new
references, minor modifications in Fig 2, 3. To appear in EP
TYPE II DNA: when the interfacial energy becomes negative
An important step in transcription of a DNA base sequence to a protein is the
initiation from the exact starting point, called promoter region. We propose a
physical mechanism for identification of the promoter region, which relies on a
new classification of DNAs into two types, Type-I and Type-II, like
superconductors, depending on the sign of the energy of the interface
separating the zipped and the unzipped phases. This is determined by the
energies of helical ordering and stretching over two independent length scales.
The negative interfacial energy in Type II DNA leads to domains of helically
ordered state separated by defect regions, or blobs, enclosed by the
interfaces. The defect blobs, pinned by non-coding promoter regions, would be
physically distinct from all other types of bubbles. We also show that the
order of the melting transition under a force is different for Type I and Type
II.Comment: 4 pages, 2 figures, Eq.(4) corrected in 4th versio
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