- Delocalization and Quantum Diffusion of Random Band Matrices in High Dimensions II: T-expansion
2022/08/17 by Fan Yang, Horng-Tzer Yau, Horng‐Tzer Yau +1 · 3 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Anomalous diffusion #Combinatorics #Delocalized electron #Density matrix renormalization group #Eigenvalues and eigenvectors #Hermitian matrix #Lattice (music) #Mathematical physics #Mathematics #Physics #Quantum mechanics #Quantum optics and atomic interactions #Random Matrices and Applications #Random matrix #Renormalization #Renormalization group
- Decay estimates for evolution equations with classical and fractional time-derivatives
2018/07/26 by Elisa Affili, Enrico Valdinoci, Affili, Elisa +1 · 2 citations
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Anomalous diffusion #Applied mathematics #Computer science #Derivative (finance) #Diffusion #Economics #Exponential decay #Exponential function #Exponential growth #FOS: Mathematics #Fractional Differential Equations Solutions #Fractional calculus #Mathematical analysis #Mathematics #Nonlinear system #Physics #Polynomial #Power law #Quantum mechanics #Space (punctuation) #Spacetime #Stability and Controllability of Differential Equations #Statistics #math.AP
- Definition of the Riesz Derivative and its Application to Space Fractional Quantum Mechanics
2016/12/01 by Selçuk Ş. Bayın, Selçuk Ş. Bayin · 1 citation
Mathematics · Physics and Astronomy · #Anomalous diffusion #Fourier transform #Fractional Differential Equations Solutions #Fractional calculus #Limit (mathematics) #Mathematical Analysis and Transform Methods #Mathematical and Theoretical Analysis #Quantum #Representation (politics) #Riesz potential #Space (punctuation) #physics.gen-ph
- Investigation of anomalous diffusion and multifractal dimensions in polypyrrole film
2012/02/24 by A. Sharifi-Viand, Ahmad Sharifi-Viand, M.G. Mahjani +1 · 1 citation
Biochemistry, Genetics and Molecular Biology · Chemistry · Physics and Astronomy · #Analytical Chemistry (journal) #Anomalous diffusion #Chemistry #Computational chemistry #Cyclic voltammetry #Dielectric spectroscopy #Diffusion #Electrochemical Analysis and Applications #Electrochemistry #Electrode #Force Microscopy Techniques and Applications #Fractal #Fractal dimension #Glassy carbon #Lipid Membrane Structure and Behavior #Mathematical analysis #Mean squared displacement #Molecular dynamics #Multifractal system #Organic chemistry #Physical chemistry #Polypyrrole #Thermodynamics
- Accounting for Diffusion in Agent Based Models of Reaction-Diffusion Systems with Application to Cytoskeletal Diffusion
2011/09/23 by Mohammad Daud Azimi, Yousef Jamali, Mohammad R. K. Mofrad · 1 citation
Biochemistry, Genetics and Molecular Biology · Mathematics · Engineering · #Cellular Mechanics and Interactions #Mathematical Biology Tumor Growth #Slime Mold and Myxomycetes Research #Diffusion #Biological system #Discretization #Anomalous diffusion #Computer science #Viscosity #Statistical physics #Physics #Mathematics #Thermodynamics
- Regimes of classical transport of cold gases in a two-dimensional anisotropic disorder
2011/03/31 by L. Pezze, Luca Pezzè, M. Robert-de-Saint-Vincent +15 · 1 citation
Physics and Astronomy · #Anisotropic diffusion #Anisotropy #Anomalous diffusion #Cold Atom Physics and Bose-Einstein Condensates #Diffusion #Gaussian #Particle (ecology) #Physics #Quantum mechanics #Quantum, superfluid, helium dynamics #Statistical physics #Theoretical and Computational Physics #Thermal #Thermodynamics #cond-mat.quant-gas
- Diffusion of tagged particle in an exclusion process
2010/01/05 by E. Barkai, Eli Barkai, R. Silbey · 1 citation
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #Anomalous diffusion #Brownian motion #Diffusion #Diffusion and Search Dynamics #Diffusion process #Mathematical physics #Mean squared displacement #Molecular dynamics #Particle (ecology) #Physics #Quantum mechanics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech
- Fractional diffusion Processes: Probability Distributions and Continuous Time Random Walk
2003/01/01 by Rudolf Gorenflo, Francesco Mainardi · 2 citations
Mathematics · #Anomalous diffusion #Brownian motion #Continuous-time random walk #Differential equation #Diffusion #Diffusion equation #Diffusion process #Fokker–Planck equation #Fractional Differential Equations Solutions #Fractional calculus #Innovation diffusion #Lévy flight #Mathematical analysis #Mathematics #Nonlinear Differential Equations Analysis #Order (exchange) #Physics #Probability density function #Quantum mechanics #Random walk #Skewness #Statistical Distribution Estimation and Applications #Statistical physics #Statistics #Time derivative
- Diffusion in disordered media
2002/01/01 by Shlomo Havlin, Daniel Ben-Avraham, Daniel ben‐Avraham · 33 citations
Materials Science · Mathematics · Physics and Astronomy · #Anomalous diffusion #Cluster (spacecraft) #Computer science #Condensed matter physics #Conductivity #Critical exponent #Diffusion #Directed percolation #Electrical resistivity and conductivity #Fractal #Geometry #Innovation diffusion #Lattice (music) #Material Dynamics and Properties #Mathematical analysis #Mathematics #Percolation (cognitive psychology) #Percolation critical exponents #Percolation theory #Percolation threshold #Phase transition #Physics #Quantum mechanics #Random walk #Scaling #Statistical physics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Thermodynamics
- Anomalous diffusion in non-equilibrium relativistic heavy-ion rapidity spectra
2001/11/12 by A. Lavagno, A Lavagno · 2 citations
Physics and Astronomy · #Anomalous diffusion #Diffusion #Distribution (mathematics) #Dust and Plasma Wave Phenomena #High-Energy Particle Collisions Research #Proton #Rapidity #SIGNAL (programming language) #Spectral line #Statistical Mechanics and Entropy #Yield (engineering) #cond-mat.stat-mech #hep-ph #nucl-th
- The fractional‐order governing equation of Lévy Motion
2000/02/01 by David A. Benson, Stephen W. Wheatcraft, Mark M. Meerschaert · 3 citations
Engineering · Mathematics · #Anomalous diffusion #Brownian motion #Continuous-time random walk #Differential equation #Dimension (graph theory) #Dispersion (optics) #Fluid Dynamics and Turbulent Flows #Fokker–Planck equation #Fractional Brownian motion #Fractional Differential Equations Solutions #Fractional calculus #Geometry #Lévy flight #Mathematical analysis #Mathematics #Order (exchange) #Particle Dynamics in Fluid Flows #Physics #Pure mathematics #Quantum mechanics #Random walk #Scaling #Skewness #Space (punctuation) #Statistics
- Anomalous diffusion in disordered media and random quantum spin chains
1998/04/29 by Ferenc Iglói, F. Igloi, H. Rieger +1 · 1 citation
Mathematics · Physics and Astronomy · #Anomalous diffusion #Diffusion #Ising model #Mathematical physics #Mathematics #Opinion Dynamics and Social Influence #Physics #Quantum mechanics #Random field #Random walk #Spin (aerodynamics) #Statistical physics #Statistics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.stat-mech
- On nonlinear diffusion with multiplicative noise
1997/02/25 by M. A. Muñoz, Miguel A. Muñoz, Terence Hwa +1 · 1 citation
Economics, Econometrics and Finance · Engineering · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Anomalous diffusion #Complex Systems and Time Series Analysis #Computer science #Condensed matter physics #Diffusion #Engineering #Homogenization (climate) #Limiting #Mathematical analysis #Mathematics #Multiplicative function #Multiplicative noise #Noise (video) #Nonlinear system #Phase transition #Physics #Quantum mechanics #Statistical physics #Theoretical and Computational Physics #Universality (dynamical systems) #Upper and lower bounds #cond-mat.stat-mech
- Iterated function system and diffusion in the presence of disorder and traps
1995/03/15 by Thomas Wichmann, Achille Giacometti, K. P. N. Murthy · 1 citation
Mathematics · Physics and Astronomy · #Anomalous diffusion #Computer science #Ergodic theory #Fractal #Invariant (physics) #Invariant measure #Iterated function #Iterated function system #Jump #Lattice (music) #Mathematical analysis #Mathematical physics #Mathematics #Measure (data warehouse) #Multifractal system #Nonlinear system #Physics #Probability measure #Pure mathematics #Quantum chaos and dynamical systems #Quantum mechanics #Statistical physics #Theoretical and Computational Physics #Trapping #cond-mat #stochastic dynamics and bifurcation
- Diffusion in disordered media
1987/01/01 by Shlomo Havlin, Daniel Ben-Avraham, Daniel ben‐Avraham · 62 citations
Materials Science · Mathematics · Physics and Astronomy · #Anomalous diffusion #Cluster (spacecraft) #Computer science #Condensed matter physics #Conductivity #Critical exponent #Diffusion #Directed percolation #Electrical resistivity and conductivity #Fractal #Geometry #Innovation diffusion #Lattice (music) #Material Dynamics and Properties #Mathematical analysis #Mathematics #Percolation (cognitive psychology) #Percolation critical exponents #Percolation theory #Percolation threshold #Phase transition #Physics #Quantum mechanics #Random walk #Scaling #Statistical physics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics