Results 61 to 70 of about 146,915 (245)

Davies’ method for anomalous diffusions

Proceedings of the American Mathematical Society, 2016
Davies’ method of perturbed semigroups is a classical technique to obtain off-diagonal upper bounds on the heat kernel. However Davies’ method does not apply to anomalous diffusions due to the singularity of energy measures. In this note, we overcome the difficulty by modifying the Davies’ perturbation method to obtain sub-Gaussian upper bounds on the ...
Murugan, Mathav, Saloff-Coste, Laurent
openaire   +3 more sources

Mitochondrial Transplantation via Magnetically Responsive Artificial Cells Promotes Intracerebral Hemorrhage Recovery by Supporting Microglia Immunological Homeostasis

Advanced Materials, Volume 37, Issue 13, April 2, 2025.
A type of magnetically responsive artificial cells (ACs) has been developed, demonstrating the loading of mitochondria and self‐enclosure processes to ensure the protection of mitochondrial transport via the bloodstream. The treatment with ACs effectively transplanted mitochondria around the lesion, thereby improving neurological recovery by supporting
Mi Zhou, Jinhui Zang, Yuxuan Qian, Qiang Zhang, Yifan Wang, Tingting Yao, Hongyu Yan, Kai Zhang, Xiaojun Cai, Lixian Jiang, Yuanyi Zheng   +10 more
wiley   +1 more source

Molecular theory of anomalous diffusion

, 2013
We present a Master Equation formulation based on a Markovian random walk model that exhibits sub-diffusion, classical diffusion and super-diffusion as a function of a single parameter.
Boon, Jean Pierre, Lutsko, James F.
core   +1 more source

Recent developments in anomalous diffusions

Mathematics and Education in Mathematics, 2023
In this paper we review briefly some of the results in the area of anomalous diffusions which are related to the anomalous aggregation phenomenon. Loosely, speaking this phenomenon occurs when a particle moves in a milieu with obstacles which alter so much its otherwise Markovian or diffusive motion that instead of free movement throughout the ...
openaire   +2 more sources

Transient Charging of Mixed Ionic‐Electronic Conductors by Anomalous Diffusion

Advanced Materials, EarlyView.
This article explores charge transport in mixed ionic‐electronic conductors (MIECs) through electrochemical impedance spectroscopy and transient current analysis. Focusing on PEDOT:PSS, WO3, and n‐doped PBDF, it uncovers the impact of anomalous diffusion via fractional modeling. The study reveals key correlations that deepen understanding and guide the
Heyi Zhang, Gonzalo Rivera‐Sierra, Shirin Siahjani‐Gultekin, Jenifer Rubio‐Magnieto, Anis Allagui, Ignacio Sanjuán, David Franco, Antonio Guerrero, Enrique H. Balaguera, Juan Bisquert   +9 more
wiley   +1 more source

Nonlinear equation for anomalous diffusion: unified power-law and stretched exponential exact solution

, 2000
The nonlinear diffusion equation $\frac{\partial \rho}{\partial t}=D \tilde{\Delta} \rho^\nu$ is analyzed here, where $\tilde{\Delta}\equiv \frac{1}{r^{d-1}}\frac{\partial}{\partial r} r^{d-1-\theta} \frac{\partial}{\partial r}$, and $d$, $\theta$ and ...
A. Ott, A. R. Plastino, B. O’Shaughnessy, B. O’Shaughnessy, C. Tsallis, C. Tsallis, C. Tsallis, E. K. Lenzi, E. M. F. Curado, E. M. F. Curado, E. M. F. Curado, F. Bardou, H. Spohn, I. T. Pedron, J. G. Berryman, J. Stephenson, L. Borland, L. Borland, L. C. Malacarne, L. F. Richardson, O. V. Bychuk, R. S. Mendes, T. H. Solomon   +22 more
core   +1 more source

Microscopic Insights into Magnetic Warping and Time‐Reversal Symmetry Breaking in Topological Surface States of Rare‐Earth‐Doped Bi2Te3

Advanced Materials, EarlyView.
Magnetic doping of the topological insulator Bi2Te3 with erbium adatoms induces out‐of‐plane magnetism and breaks time‐reversal symmetry, opening a Dirac gap and driving a Fermi surface transition from hexagonal to star‐of‐David geometry. Microscopy, spectroscopy, and magnetic dichroism reveal atomically controlled magnetic interactions that tailor the
Beatriz Muñiz Cano, Fabián Calleja, Ji Dai, Massimo Tallarida, Vera Marinova, Alessandro Barla, Marc G. Cuxart, Pierluigi Gargiani, Gonzalo N. Molina, José Angel Silva‐Guillén, Adriana I. Figueroa, Kevin García‐Díez, Sergio O. Valenzuela, Aitor Mugarza, Amadeo L. Vázquez de Parga, Rodolfo Miranda, Francisco Guinea, Manuela Garnica, Miguel A. Valbuena   +18 more
wiley   +1 more source

Single particle tracking in systems showing anomalous diffusion: the role of weak ergodicity breaking

, 2010
Anomalous diffusion has been widely observed by single particle tracking microscopy in complex systems such as biological cells. The resulting time series are usually evaluated in terms of time averages.
Abad. S. B. Yuste, Aquino, Banks, Bardou, Barkai, Barkai, Barkai, Barkai, Baule, Baule, Bel, Ben Arous, Berkowitz, Bertin, Bouchaud, Bouchaud, Brokmann, Bronstein, Burnecki, Burov, Burov, Caspi, Deng, Dräger, Eli Barkai, Ellis, Fogedby, Frangos, Froemberg, Gal, Golding, Greenleaf, Guigas, Harris, Havlin, He, Heinsalu, Hurst, Jae-Hyung Jeon, Jeon, Jeon, Klemm, Kolmogorov, Kou, Lizana, Lizana, Lomholt, Lubelski, Magdziarz, Magdziarz, Magdziarz, Magdziarz, Mandelbrot, Margolin, Mason, McGuffee, Metzler, Metzler, Metzler, Metzler, Metzler, Metzler, Min, Minton, Monthus, Montroll, Neusius, Nordlund, Palmer, Pan, Perrin, Qian, Ralf Metzler, Rebenshtok, Saxton, Saxton, Schaufler, Scher, Scher, Scher, Seisenberger, Selhuber-Unkel, Siegle, Simonsen, Sinai, Sliusarenko, Sokolov, Sokolov, Stas Burov, Stefani, Szymanski, Taloni, Tejedor, Tejedor, Toli-Nrrelykke, Vercammen, Weber, Weiss, Wong, Yuste, Zaid, Zimmerman   +101 more
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2D Co‐Mo‐Hydroxide‐Based Multifunctional Material for the Development of H2‐Based Clean Energy Technologies

Advanced Materials, EarlyView.
2D α‐Co(OH)2 interleaved with Mo species displays an appealing dual functionality for the production and use of green hydrogen.Mo incorporation greatly benefits the electrochemical behaviour in Oxygen Evolution Reaction for H2 production, while the magnetocaloric response at liquid H2 temperature paves the way for alternative cryogenic refrigerants ...
Daniel Muñoz‐Gil, Celia Castillo‐Blas, Dawid Krystian Feler, Isabel Gómez‐Recio, Miguel Tinoco, Ana Querejeta‐Fernández, Rodrigo González‐Prieto, Felipe Gándara, Romualdo Santos Silva Jr, Pilar Ferrer, Carlos Prieto, Luc Lajaunie, José Luis Martinez‐Peña, María Luisa Ruiz‐González, José María González‐Calbet   +14 more
wiley   +1 more source

A mechanical model of normal and anomalous diffusion

, 2002
The overdamped dynamics of a charged particle driven by an uniform electric field through a random sequence of scatterers in one dimension is investigated. Analytic expressions of the mean velocity and of the velocity power spectrum are presented.
A. Sütő, A.J. Lichtenberg, A.S. Pikovsky, D. Szász, D. Szász, D. Szász, F.-X. Riguidel, F.-X. Riguidel, G. Kaniadakis, H. Kunz, J.P. Bouchaud, R. Ishizaki, R. Livi, S.I. Denisov, T. Geisel, Ya.G. Sinai   +15 more
core   +1 more source