Results 51 to 60 of about 1,340 (226)
On a generalization of fractional Langevin equation with boundary conditions
AIMS Mathematics, 2021 <abstract><p>In this work, we consider a generalization of the nonlinear Langevin equation of fractional orders with boundary value conditions. The existence and uniqueness of solutions are studied by using the results of the fixed point theory.
Zheng Kou, Saeed Kosari
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Fractional Langevin equation: Overdamped, underdamped, and critical behaviors [PDF]
Physical Review E, 2008 18 pages, 15 ...
Burov, S., Barkai, E.
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Correlations in a generalized elastic model: Fractional Langevin equation approach [PDF]
Physical Review E, 2010 The Generalized Elastic Model (GEM) provides the evolution equation which governs the stochastic motion of several many-body systems in nature, such as polymers, membranes, growing interfaces. On the other hand a probe (\emph{tracer}) particle in these systems performs a fractional Brownian motion due to the spatial interactions with the other system's
Taloni Alessandro +2 more
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Advanced Engineering Materials, EarlyView.Grain boundary triple junctions are an essential ingredient of the microstructure of polycrystalline materials. In this study, a triple junction is observed using atomic‐resolution scanning transmission electron microscopy and characterized. Computer simulations reveal that the junction has a dislocation character that is determined by the joining ...
Tobias Brink +4 more
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Fractal physiology and the fractional calculus: a perspective
Frontiers in Physiology, 2010 This paper presents a restricted overview of Fractal Physiology focusing on the complexity of the human body and the characterization of that complexity through fractal measures and their dynamics, with fractal dynamics being described by the fractional ...
Bruce J West
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Role of the Recombination Zone in Organic Light‐Emitting Devices
Advanced Materials, EarlyView.This review summarizes the critical role of the recombination zone in organic light‐emitting diodes (OLEDs). We highlight that broadening the recombination zone in OLEDs based on emissive layers with balanced charge transport and high photoluminescence quantum yields provides a promising route toward achieving both long operational lifetime and high ...
Yungui Li, Karl Leo
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Boundary Value ProblemsThe primary objective of this manuscript is to investigate the existence and uniqueness of solutions for the Langevin ( k , φ ) $(\mathtt{k},\varphi )$ -Hilfer fractional differential equation of different orders with multipoint nonlocal fractional ...
HuiYan Cheng +4 more
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Journal of Mathematics, 2021 In this article, we use some fixed point theorems to discuss the existence and uniqueness of solutions to a coupled system of a nonlinear Langevin differential equation which involves Caputo fractional derivatives of different orders and is governed by ...
Zaid Laadjal +2 more
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Advanced Materials, EarlyView.The energetic offset between the donor and the acceptor components in organic photoactive layers is central to the tradeoff between photovoltage and photocurrent losses. This Perspective covers the most important issues surrounding this topic in non‐fullerene acceptor blends, from the difficulty of accurately determining state energies and driving ...
Dieter Neher, Manasi Pranav
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Rethinking Charge Transport and Recombination in Donor‐Diluted Organic Solar Cells
Advanced Materials, EarlyView.Organic solar cells with 1–45% PM6 content in Y12 were studied to link structure and charge dynamics to performance. The conductivity follows a 3D percolation model without a sharp threshold. Donor dilution preserves the photogeneration yield, but limits the fill factor due to transport resistance losses.
Chen Wang +14 more
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