scholarly journals Regularity for critical points of a non local energy

1997 ◽  
Vol 5 (5) ◽  
pp. 409-433 ◽  
Author(s):  
Gilles Carbou
Keyword(s):  
Critical Points ◽  
Local Energy ◽  
Non Local

scholarly journals Non-local energy transport in tunneling and plasmonic structures

2011 ◽  
Vol 19 (16) ◽  
pp. 15281 ◽  
Author(s):  
Winston Frias ◽  
Andrei Smolyakov ◽  
Akira Hirose
Keyword(s):  
Energy Transport ◽  
Local Energy ◽  
Plasmonic Structures ◽  
Non Local

scholarly journals On a class of non-local discrete boundary value problem

2020 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Anass Ourraoui ◽  
Abdesslem Ayoujil
Keyword(s):  
Boundary Value Problem ◽  
Variational Methods ◽  
Critical Points ◽  
Boundary Value ◽  
Discrete Problem ◽  
Three Solutions ◽  
Content Type ◽  
Three Critical Points Theorem ◽  
Discrete Boundary Value Problem ◽  
Non Local

PurposeIn this article, the authors discuss the existence and multiplicity of solutions for an anisotropic discrete boundary value problem in T-dimensional Hilbert space. The approach is based on variational methods especially on the three critical points theorem established by B. Ricceri.Design/methodology/approachThe approach is based on variational methods especially on the three critical points theorem established by B. Ricceri.FindingsThe authors study the existence of results for a discrete problem, with two boundary conditions type. Accurately, the authors have proved the existence of at least three solutions.Originality/valueAn other feature is that problem is with non-local term, which makes some difficulties in the proof of our results.

scholarly journals A novel scheme for Dark Matter Annihilation Feedback in cosmological simulations

2019 ◽  
Vol 489 (3) ◽  
pp. 4217-4232 ◽  
Author(s):  
Florian List ◽  
Nikolas Iwanus ◽  
Pascal J Elahi ◽  
Geraint F Lewis
Keyword(s):  
Dark Matter ◽  
Blast Wave ◽  
Cross Sections ◽  
Injection Velocity ◽  
Local Energy ◽  
Time Step ◽  
Dark Matter Annihilation ◽  
Self Consistent ◽  
Consistent Method ◽  
Non Local

ABSTRACT We present a new self-consistent method for incorporating Dark Matter Annihilation Feedback (DMAF) in cosmological N-body simulations. The power generated by DMAF is evaluated at each dark matter (DM) particle which allows for flexible energy injection into the surrounding gas based on the specific DM annihilation model under consideration. Adaptive, individual time-steps for gas and DM particles are supported and a new time-step limiter, derived from the propagation of a Sedov–Taylor blast wave, is introduced. We compare this donor-based approach with a receiver-based approach used in recent studies and illustrate the differences by means of a toy example. Furthermore, we consider an isolated halo and a cosmological simulation and show that for these realistic cases, both methods agree well with each other. The extension of our implementation to scenarios such as non-local energy injection, velocity-dependent annihilation cross-sections, and DM decay is straightforward.

Reducing the Proximity Effect in Electron Lithography

1980 ◽  
Vol 38 ◽  
pp. 310-311
Author(s):  
M.R. Soqard
Keyword(s):  
Electron Beam ◽  
Multiple Scattering ◽  
Proximity Effect ◽  
Energy Deposition ◽  
Incident Beam ◽  
Stopping Power ◽  
Local Energy ◽  
Non Local ◽  
The Mean ◽  
Electron Lithography

When an electron beam is used to expose a resist, neighboring regions of the resist are also partially exposed. This arises from multiple scattering of the electrons in the resist and by backscattering of the electrons in both the resist and (mainly) in the substrate beneath the resist. From various studies1,2 this non-local energy deposition can be characterized by a number of regions, There is a very intense energy deposition, which is typically quite narrow and is produced by the direct incident beam broadened by multiple scattering in the resist. This is surrounded by an approximate plateau of intensity of about 1-2 orders of magnitude weaker, which is produced almost entirely by electrons backscattering from the substrate. The plateau arises from two conflicting effects: the backscattering yield drops as we move away from the central beam, but the mean electron energy also decreases. Therefore the stopping power increases, thus tending to offset the first effect. Finally this plateau cuts off fairly sharply at a distance approximately equal to the Bethe range of electrons in the substrate.

A measure of scale-dependent asymmetry in turbulent boundary layer flows: scaling and Reynolds number similarity

2016 ◽  
Vol 797 ◽  
pp. 549-563 ◽  
Author(s):  
Arvind Singh ◽  
Kevin B. Howard ◽  
Michele Guala
Keyword(s):  
Boundary Layer ◽  
Reynolds Number ◽  
Energy Transfer ◽  
Turbulent Boundary Layer ◽  
Inertial Range ◽  
Wall Region ◽  
Local Energy ◽  
Boundary Layer Flows ◽  
Non Local ◽  
Velocity Increments

The distribution of temporal scale-dependent streamwise velocity increments is investigated in turbulent boundary layer flows at laboratory and atmospheric Reynolds numbers, using the St. Anthony Falls Laboratory wind tunnel and the Surface Layer Turbulence and Environmental Science Test dataset, respectively. The third-order moments of velocity increments, or asymmetry index $A(a,z)$, is computed for varying wall distance $z$ and time scale separation $a$, where it was observed to leave a robust, distinct signature in the form of a hump, independent of Reynolds number and located across the inertial range. The hump is observed in wall region limited to $z^{+}<5\times 10^{3}$, with a tendency to shift towards smaller time scales as the surface is approached ($z^{+}<70$). Comparing the two datasets, the hump, and its location, are found to obey inner wall scaling and is regarded as a genuine feature of the canonical turbulent boundary layer. The magnitude cumulant analysis of the scale-dependent velocity increments further reveals that intermittency is also enhanced near the wall, in the same flow region where the asymmetry signature was observed. The combination of asymmetry and intermittency is inferred to point at non-local energy transfer and scale coupling across a range of scales. From a turbulent structure perspective, such non-local energy transfer can be seen as the result of strong scale-interaction processes between outer scale motions in the logarithmic layer impacting and distorting smaller scales at the wall, through abrupt energy transfer across scales bypassing the typical energy cascade of the inertial range.

Non-local energy transport in tunneling and plasmonic structures

2010 ◽  
Author(s):  
Winston Frias ◽  
Andrei Smolyakov ◽  
Akira Hirose
Keyword(s):  
Energy Transport ◽  
Local Energy ◽  
Plasmonic Structures ◽  
Non Local
Sign in / Sign up

Export Citation Format

Share Document