4,242 research outputs found
On the variational noncommutative Poisson geometry
We outline the notions and concepts of the calculus of variational
multivectors within the Poisson formalism over the spaces of infinite jets of
mappings from commutative (non)graded smooth manifolds to the factors of
noncommutative associative algebras over the equivalence under cyclic
permutations of the letters in the associative words. We state the basic
properties of the variational Schouten bracket and derive an interesting
criterion for (non)commutative differential operators to be Hamiltonian (and
thus determine the (non)commutative Poisson structures). We place the
noncommutative jet-bundle construction at hand in the context of the quantum
string theory.Comment: Proc. Int. workshop SQS'11 `Supersymmetry and Quantum Symmetries'
(July 18-23, 2011; JINR Dubna, Russia), 4 page
A modified Poisson-Boltzmann theory: Effects of co-solvent polarizability
In this paper within a field-theoretical approach taking into account
explicitly a co-solvent with a nonzero dipole and a polarizability tensor, we
derive a modified Poisson-Boltzmann equation. Applying the modified
Poisson-Boltzmann equation, we formulate a generalized Gouy-Chapman theory for
the case when an electrolyte solution is mixed with a polar co-solvent having a
large polarizability. We show that an increase of the co-solvent concentration
as well as the co-solvent polarizability lead to a significant increase of
differential capacitance at sufficiently high surface potentials of the
electrode, whereas the profile of the electrostatic potential becomes
considerably more long-ranged. On the contrary, an increase in the permanent
dipole of the co-solvent only weakly affects the differential capacitance
Leptonic constant of pseudoscalar B_c meson
We calculate the leptonic constant for the ground pseudoscalar state of B_c
meson in the framework of QCD-motivated potential model taking into account the
two-loop anomalous dimension for the heavy quark current in the nonrelativistic
QCD as matched with the full QCD.Comment: 6 pages, RevTeX4 file, 3 eps-figures, several references and remarks
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