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

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

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.

scholarly journals A generalized fractional-order elastodynamic theory for non-local attenuating media

2020 ◽  
Vol 476 (2238) ◽  
pp. 20200200 ◽  
Author(s):  
Sansit Patnaik ◽  
Fabio Semperlotti
Keyword(s):  
Fractional Order ◽  
Elastic Waves ◽  
Energy Transport ◽  
Transport Processes ◽  
Non Local ◽  
The Many ◽  
Propagation Of Elastic Waves ◽  
And Diffusion ◽  
Fully Coupled ◽  
Theoretical Results

This study presents a generalized elastodynamic theory, based on fractional-order operators, capable of modelling the propagation of elastic waves in non-local attenuating solids and across complex non-local interfaces. Classical elastodynamics cannot capture hybrid field transport processes that are characterized by simultaneous propagation and diffusion. The proposed continuum mechanics formulation, which combines fractional operators in both time and space, offers unparalleled capabilities to predict the most diverse combinations of multiscale, non-local, dissipative and attenuating elastic energy transport mechanisms. Despite the many features of this theory and the broad range of applications, this work focuses on the behaviour and modelling capabilities of the space-fractional term and on its effect on the elastodynamics of solids. We also derive a generalized fractional-order version of Snell’s Law of refraction and of the corresponding Fresnel’s coefficients. This formulation allows predicting the behaviour of fully coupled elastic waves interacting with non-local interfaces. The theoretical results are validated via direct numerical simulations.

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.

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