NONUNIFORM EXPONENTIAL BEHAVIOR VIA EVOLUTION SEMIGROUPS

Mathematika ◽  
2019 ◽  
Vol 66 (1) ◽  
pp. 15-38 ◽  
Author(s):  
Luis Barreira ◽  
Liviu Horia Popescu ◽  
Claudia Valls
Keyword(s):  
Exponential Behavior ◽  
Evolution Semigroups

scholarly journals Fredholm properties of evolution semigroups

2004 ◽  
Vol 48 (3) ◽  
pp. 999-1020 ◽  
Author(s):  
Yuri Latushkin ◽  
Yuri Tomilov
Keyword(s):  
Evolution Semigroups

Photoluminescence and Scintillation Properties of Pb2+ Based Quantum Dots in CsCI Host Crystal

1994 ◽  
Vol 348 ◽  
Author(s):  
M. Nikl ◽  
K. Nitsch ◽  
I. Dafinei ◽  
P. Lecoq ◽  
G.P. Pazzi ◽  
...  
Keyword(s):  
Quantum Dots ◽  
Steady State ◽  
Room Temperature ◽  
Emission Spectra ◽  
Emission Peak ◽  
Kinetic Properties ◽  
Host Crystal ◽  
Exponential Behavior ◽  
Decay Times ◽  
Single Exponential

ABSTRACTThe spectral and kinetic properties of photoluminescence of Pb2+ aggregated phase in CsC1 host, together with scintillation characteristics of CsCI:Pb crystals, are reported in the 10 - 300 K temperature range. Absorption, steady-state excitation and emission spectra of Pb2+ phase in CsCI host are similar to those of CsPbCl3 bulk crystal (emission peak at 419 nm at 10 K). The decay of the 421 nm luminescence of the Pb2+ phase in CsCl shows single exponential behavior with extremely short decay time of 40 ps at 421 nm and 10 K,which is considerably shorter than the decay times found in the decay of CsPbCl3 bulk emission (0.45, 2.8 and 12 ns at 418 nm and 10 K). In the scintillation decay of CsCI:Pb, two components with 0.95-1 ns and 2-3 ns decay times were found and no slower component is present at room temperature.

On the Kinetics Description of Below-Tg Structural Relaxation in Network Glass Formers

2013 ◽  
Vol 200 ◽  
pp. 162-167 ◽  
Author(s):  
Valentina Balitska ◽  
Roman Golovchak ◽  
Oleh Shpotyuk
Keyword(s):  
Structural Relaxation ◽  
Chalcogenide Glasses ◽  
Glassy Matrix ◽  
Physical Ageing ◽  
Exponential Behavior ◽  
First Order ◽  
First Order Kinetics ◽  
Network Glass ◽  
Arsenic Selenides

Phenomenological description of below-Tg structural relaxation known as long-term natural physical ageing in network glass formers exemplified by chalcogenide glasses of binary arsenic selenides was adequately developed within formalism of first-order kinetics. This kinetics was shown to obey a character stretched exponential behavior being treated as sequence of aligning-shrinkage stages throughout glassy matrix.

scholarly journals Cascade calculation with schematic interactions

2019 ◽  
Vol 28 (08) ◽  
pp. 1950062 ◽  
Author(s):  
Levering Wolfe ◽  
Larry Zamick
Keyword(s):  
Excited States ◽  
Ground State ◽  
Energy State ◽  
Weak Coupling Limit ◽  
Transition Strength ◽  
Exponential Behavior ◽  
Analytic Proof ◽  
Cascade Calculation ◽  
Average Transition ◽  
Transition Operators

In previous works we considered schematic Hamiltonians represented by simplified matrices. We defined two transition operators and calculated transition strengths from the ground state to all excited states. In many cases the strengths decreased nearly exponentially with the excitation energy. Now we do the reverse. We start with the highest energy state and calculate the cascade of transitions until the ground state is reached. On a log plot we show the average transition strength as a function of the number of energy intervals that were crossed. We give an analytic proof of exponential behavior for transition strength in the weak coupling limit for the [Formula: see text] transition operator.

scholarly journals Casting Long-Term and Regenerative Perspectives on Global Sustainability through Systems and Resilience Thinking

2020 ◽  
Vol 12 (3) ◽  
pp. 1230
Author(s):  
Fabricio Casarejos
Keyword(s):  
Ecological Factors ◽  
Systems Dynamics ◽  
Dynamics Modeling ◽  
Short Term ◽  
Exponential Behavior ◽  
Global Sustainability ◽  
Resilience Thinking ◽  
Analysis And Synthesis ◽  
To Come

The main objective of this work is to foster long-term and regenerative perspectives on global sustainability. In pursuing this goal, this study encompasses a critical analysis and synthesis of insights from the fields of systems and resilience thinking, a conceptual framework for modeling and envisioning socio-ecological systems, and the proposition of the “flourishing within boundaries” archetype, which is conceived to provide meaningful insights regarding the essential conditions that would enable global society to flourish not just safely but also fairly. Through systems dynamics modeling, portrayed scenarios emphasize that the higher the regenerative societal change achieved, the greater the exponential behavior of the system’s speed towards promising socio-ecological outcomes. Especially for longer time horizons, the overall results reveal that the pace of the transitions associated with the societal action is inherently higher than those associated with the limiting social and ecological factors. Actions taken by individuals in the local realm and short-term time horizon may not only have immediate local effects but also a variety of innumerous ones that radiate out for years, decades, and even centuries to come. Finally, the pursuit of flourishing within boundaries relies on thinking rationally, globally, and above all, through a long-term and regenerative perspective.

Breakdown of the Dipole-Dipole Approximation at Short Distances and Hot Spot Formation between a Pair of Silver Nanocubes

2015 ◽  
Vol 1802 ◽  
pp. 19-24 ◽  
Author(s):  
Nasrin Hooshmand ◽  
Justin A Bordley ◽  
Mostafa A El-Sayed
Keyword(s):  
Hot Spot ◽  
Dipole Moments ◽  
Near Field ◽  
Dipole Approximation ◽  
Separation Distance ◽  
Plasmonic Nanoparticles ◽  
Localized Surface Plasmon ◽  
Exponential Behavior ◽  
Complicated Manner ◽  
The Individual

ABSTRACTAg or Au nanocubes are known to be plasmonic nanoparticles with strong plasmonic fields concentrated around their corners1. When these nanoparticles aggregate the individual plasmonic oscillations of each particle begin to couple. The coupling between the two plasmonic nanoparticles is assumed to be dipolar in nature which results in an exponential red shift dependence of their localized surface plasmon resonance (LSPR) on the dimer separation2. Unfortunately, this exponential behavior is shown to fail as the separation distance between the two 42 nm nanocube dimer becomes 6nm or smaller3. Hooshmand et al4 have noted that these separation distances are marked by the formation of hot spots between the facets of the dimer.This dipolar exponential behavior results from a treatment of the coupling between the two excited nanocubes as a coupling between two oscillating dipole moments2. As a result, the vectorial addition of all the oscillating electronic dipoles is assumed to interact with the nearest nanoparticle as a single oscillating electronic dipole. Herein we suggest that as the separation distance becomes increasingly small, the coupling between the individual oscillating dipoles on the different nanocubes becomes significant. Thus, the dipolar exponential behavior fails to accurately predict the near field coupling between two nanoparticles with small separation distances.This leads to the realization that the interaction between the individual oscillating dipoles on the two nanocubes changes in a complicated manner as a function of separation distance. At 2nm, a good fraction of the oscillating dipoles are between the adjacent facets of the nanocubes as well as between the the corners. While at 3 nm less are in between the two facets of the nanocubes and a larger portion are localized at the corners. Thus, the coupling is not only dependent on the separation distance but also on what the separation does to the net interaction between the oscillating dipoles on each facet of the two coupled nanocubes. This results in the failure of the exponential behavior as the dipole moment on each nanocube is changing with distance in a complicated manner.

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