2,632 research outputs found
Some new applications for heat and fluid flows via fractional derivatives without singular kernel
This paper addresses the mathematical models for the heat-conduction
equations and the Navier-Stokes equations via fractional derivatives without
singular kernel.Comment: This is a preprint of a paper whose final and definite form will be
published in Thermal Science. Paper Submitted 28/ Dec /2016; Revised
20/Jan/2016; Accepted for publication 21/Jan/201
Symmetry Dictionary on Charge and Spin Nonlinear Responses for All Magnetic Point Groups with Nontrivial Topological Nature
Recently, charge or spin nonlinear transport with nontrivial topological
properties in crystal materials has attracted much attention. In this paper, we
perform a comprehensive symmetry analysis for all 122 magnetic point groups
(MPGs) and provide a useful dictionary for charge and spin nonlinear transport
from Berry curvature dipole, Berry connection polarization and Drude term with
nontrivial topological nature. The results are obtained by making a full
symmetry investigation on matrix representations of six nonlinear response
tensors. We further identify every MPG that can accommodate two or three of the
nonlinear tensors. The present work gives a solid theoretical basis for overall
understanding the second-order nonlinear responses in realistic materials.Comment: 5 pages, 2 figure
Excited Heavy Quarkonium Production at the LHC through -Boson Decays
Sizable amount of heavy-quarkonium events can be produced through -boson
decays at the LHC. Such channels will provide a suitable platform to study the
heavy-quarkonium properties. The "improved trace technology", which disposes
the amplitude at the amplitude-level, is helpful for deriving
compact analytical results for complex processes. As an important new
application, in addition to the production of the lower-level Fock states
and , we make a further study on the
production of higher-excited -quarkonium Fock states
, and . Here
stands for the -charmonium,
-quarkonium and -bottomonium respectively. We show
that sizable amount of events for those higher-excited states can also be
produced at the LHC. Therefore, we need to take them into consideration for a
sound estimation.Comment: 7 pages, 9 figures and 6 tables. Typo errors are corrected, more
discussions and two new figures have been adde
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