Rudolf Hilfer
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Physics
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(Suggest an Edit or Addition)Rudolf Hilfer's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Applications Of Fractional Calculus In Physics (2000) (6105)
- FRACTIONAL TIME EVOLUTION (2000) (299)
- OPERATIONAL METHOD FOR THE SOLUTION OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH GENERALIZED RIEMANN-LIOUVILLE FRACTIONAL DERIVATIVES (2009) (276)
- Fractional and operational calculus with generalized fractional derivative operators and Mittag–Leffler type functions (2010) (271)
- Experimental evidence for fractional time evolution in glass forming materials (2002) (240)
- Lattice-Boltzmann and finite-difference simulations for the permeability for three-dimensional porous media. (2002) (209)
- Fractional Diffusion Based on Riemann-Liouville Fractional Derivatives † (2000) (198)
- Threefold Introduction to Fractional Derivatives (2008) (184)
- Computation of the generalized Mittag-Leffler function and its inverse in the complex plane (2006) (138)
- Dimensional analysis of pore scale and field scale immiscible displacement (1996) (124)
- Pore‐scale displacement mechanisms as a source of hysteresis for two‐phase flow in porous media (2016) (123)
- Quantitative analysis of experimental and synthetic microstructures for sedimentary rock (1999) (113)
- Numerical Algorithm for Calculating the Generalized Mittag-Leffler Function (2008) (101)
- Three-dimensional local porosity analysis of porous media (1998) (99)
- Transport and Relaxation Phenomena in Porous Media (2007) (95)
- EXACT SOLUTIONS FOR A CLASS OF FRACTAL TIME RANDOM WALKS (1995) (94)
- Modelling infiltration by means of a nonlinear fractional diffusion model (2006) (90)
- Continuum reconstruction of the pore scale microstructure for Fontainebleau sandstone (2010) (86)
- H-function representations for stretched exponential relaxation and non-Debye susceptibilities in glassy systems. (2002) (85)
- Reconstruction of random media using Monte Carlo methods. (1999) (85)
- Stochastic multiscale model for carbonate rocks. (2007) (85)
- FRACTIONAL CALCULUS AND REGULAR VARIATION IN THERMODYNAMICS (2000) (81)
- FOUNDATIONS OF FRACTIONAL DYNAMICS (1995) (78)
- On the analysis of spatial binary images (2001) (73)
- Desiderata for Fractional Derivatives and Integrals (2019) (71)
- Analytical representations for relaxation functions of glasses (2002) (71)
- Review on Scale Dependent Characterization of the Microstructure of Porous Media (2001) (70)
- Macroscopic equations of motion for two-phase flow in porous media (1998) (70)
- Macroscopic capillarity and hysteresis for flow in porous media. (2006) (68)
- NUMERICAL RESULTS FOR THE GENERALIZED MITTAG-LEER FUNCTION (2005) (66)
- Renormalisation on Sierpinski-type fractals (1984) (64)
- On fractional diffusion and continuous time random walks (2003) (61)
- Quantitative analysis of numerical estimates for the permeability of porous media from lattice-Boltzmann simulations (2010) (61)
- Local Porosity Theory and Stochastic Reconstruction for Porous Media (2000) (60)
- ON FRACTIONAL RELAXATION (2002) (56)
- Local entropy characterization of correlated random microstructures (1996) (55)
- Dimensional analysis of two-phase flow including a rate-dependent capillary pressure-saturation relationship (2008) (54)
- Permeability and conductivity for reconstruction models of porous media. (2001) (53)
- Capillary pressure, hysteresis and residual saturation in porous media (2006) (50)
- Numerical solutions of a generalized theory for macroscopic capillarity. (2010) (47)
- Percolation as a Basic Concept for Macroscopic Capillarity (2010) (45)
- Microstructural sensitivity of local porosity distributions (1992) (42)
- Macroscopic two-phase flow in porous media (2000) (41)
- Fractional dynamics, irreversibility and ergodicity breaking (1995) (36)
- Fractional dynamics, irreversibility and ergodicity breaking (1995) (36)
- Local porosity theory for electrical and hydrodynamical transport through porous media (1993) (35)
- Capillary saturation and desaturation. (2015) (35)
- Trapping and mobilization of residual fluid during capillary desaturation in porous media. (1999) (35)
- Orientational ordering in lipid monolayers: A two‐dimensional model of rigid rods grafted onto a lattice (1992) (34)
- Are critical finite-size scaling functions calculable from knowledge of an appropriate critical exponent? (1995) (33)
- Generalized Buckley–Leverett theory for two-phase flow in porous media (2011) (32)
- Microstructure analysis of reconstructed porous media (1999) (31)
- Fitting the excess wing in the dielectric α-relaxation of propylene carbonate (2002) (30)
- Measurement of local porosities and dielectric dispersion for a water-saturated porous medium (1994) (30)
- Quantitative prediction of effective material properties of heterogeneous media (1999) (28)
- Towards precise prediction of transport properties from synthetic computer tomography of reconstructed porous media. (2009) (28)
- High-precision synthetic computed tomography of reconstructed porous media. (2011) (28)
- LAYERS OF SEMIFLEXIBLE CHAIN MOLECULES ENDGRAFTED AT INTERFACES : AN OFF-LATTICE MONTE CARLO SIMULATION (1995) (28)
- An extension of the dynamical foundation for the statistical equilibrium concept (1995) (28)
- PHASE TRANSITIONS IN DENSE LIPID MONOLAYERS GRAFTED TO A SURFACE : MONTE CARLO INVESTIGATION OF A COARSE-GRAINED OFF-LATTICE MODEL (1996) (27)
- On fractional diffusion and its relation with continuous time random walks (2000) (24)
- SCALING THEORY AND THE CLASSIFICATION OF PHASE TRANSITIONS (1992) (23)
- Nonmonotone Saturation Profiles for Hydrostatic Equilibrium in Homogeneous Porous Media (2012) (23)
- Continuum-based rock model of a reservoir dolostone with four orders of magnitude in pore sizes (2011) (22)
- Saturation overshoot and hysteresis for twophase flow in porous media (2014) (22)
- Macroscopic capillarity without a constitutive capillary pressure function (2006) (22)
- Mathematical and physical interpretations of fractional derivatives and integrals (2019) (22)
- Quantitative comparison of mean field mixing laws for conductivity and dielectric constants of porous media (2003) (22)
- Local percolation probabilities for a natural sandstone (1996) (21)
- Local porosity theory for the frequency dependent dielectric function of porous rocks and polymer blends (1994) (20)
- Absence of hyperscaling violations for phase transitions with positive specific heat exponent (1994) (20)
- Horizontal flow and capillarity-driven redistribution in porous media. (2012) (20)
- Thermodynamic scaling derived via analytic continuation from the classification of Ehrenfest (1991) (20)
- Rescaling relations between two-and three-dimensional local porosity distributions for natural and artificial porous media (1996) (20)
- Continuous time random walk approach to dynamic percolation (1988) (19)
- Dimensional analysis and upscaling of two-phase flow in porous media with piecewise constant heterogeneities (2004) (19)
- Exact and approximate calculations for the conductivity of sandstones (1999) (18)
- Stable Propagation of Saturation Overshoots for Two-Phase Flow in Porous Media (2018) (16)
- Fractional Derivatives in Static and Dynamic Scaling (1997) (15)
- CLASSIFICATION THEORY FOR PHASE TRANSITIONS (1993) (14)
- OLD PROBLEMS AND NEW SOLUTIONS FOR MULTIPHASE FLOW IN POROUS MEDIA (2000) (14)
- Numerical simulation of creeping fluid flow in reconstruction models of porous media (2002) (14)
- Foundations of Fractional Dynamics: A Short Account (2015) (13)
- Geometry, Dielectric Response and Scaling in Porous Media (1992) (13)
- Multicanonical Monte Carlo study and analysis of tails for the order-parameter distribution of the two-dimensional Ising model. (2003) (12)
- Macroscopic dielectric constant for microstructures of sedimentary rocks (1999) (12)
- A Critical Review of Capillary Number and its Application in Enhanced Oil Recovery (2020) (11)
- Differential porosimetry and permeametry for random porous media. (2015) (11)
- Erosion–dilation analysis for experimental and synthetic microstructures of sedimentary rock (2000) (11)
- Continuum Monte Carlo Simulation at Constant Pressure of Stiff Chain Molecules at Surfaces (1996) (10)
- Parallel domain decomposition method with non-blocking communication for flow through porous media (2015) (10)
- Statistical prediction of corrosion front penetration (1997) (9)
- Particle-based Rendering for Porous Media (2010) (8)
- Remarks on Fractional Time (2003) (8)
- Dielectriic Dispersion Measurements of Salt-Water Saturated Porous Glass Compared with Local Porosity Theory. (1992) (8)
- A Brief Review of Capillary Number and its Use in Capillary Desaturation Curves (2022) (7)
- Analysis of multilayer adsorption models without screening (1991) (7)
- Renormalisation on symmetric fractals (1984) (7)
- Experimental Implications of Bochner-Levy-Riesz Diffusion (2015) (7)
- Modeling and simulation of macrocapillarity (2009) (7)
- Mathematical analysis of time flow (2016) (6)
- SOME BOUNDS FOR ALTERNATING MATHIEU TYPE SERIES ˇ (2008) (6)
- A comparison between simulation and experiment for hysteretic phenomena during two‐phase immiscible displacement (2014) (6)
- SIMULATING THE SATURATION FRONT USING A FRACTIONAL DIFFUSION MODEL (2000) (5)
- Quantitative Analysis of Experimental and SyntheticMicrostructures for Sedimentary (2007) (5)
- Fractional glassy relaxation and convolution modules of distributions (2021) (5)
- Non-monotonic Travelling Wave Fronts in a System of Fractional Flow Equations from Porous Media (2016) (4)
- Multiscale local porosity theory, weak limits, and dielectric response in composite and porous media (2018) (4)
- Traveling Wave Solutions in a Generalized Theory for Macroscopic Capillarity (2013) (4)
- Numerical Modeling of Fluid Flow in Porous Media and in Driven Colloidal Suspensions (2008) (4)
- Convolution operators on weighted spaces of continuous functions and supremal convolution (2019) (4)
- Grain size distributions for competitive growth with nucleation (1992) (4)
- Excess wing physics and nearly constant loss in glasses (2019) (4)
- 臨界有限サイズ・スケーリング関数は,適当な臨界指数の知識から計算できるか (1995) (3)
- Corrigendum: Generalized Buckley–Leverett theory for two-phase flow in porous media (2012) (3)
- Influence of Initial Conditions on Propagation, Growth and Decay of Saturation Overshoot (2016) (3)
- Weyl integrals on weighted spaces (2019) (3)
- Applications and Implications of Fractional Dynamics for Dielectric Relaxation (2013) (3)
- Excess Wings in Broadband Dielectric Spectroscopy (2012) (3)
- ON FINITELY RAMIFIED FRACTALS AND THEIR EXTENSIONS (1986) (2)
- Continuum Monte Carlo simulation of phase transitions in rod-like molecules at surfaces (1994) (2)
- Frequency-dependent response and dynamic disorder (1991) (2)
- Correlated Random Walks in Dynamically Disordered Systems (1989) (2)
- Composite continuous time random walks (2017) (2)
- Capillary number correlations for two-phase flow in porous media. (2020) (2)
- Maximal Domains for Fractional Derivatives and Integrals (2020) (2)
- Hysteresis in relative permeabilities suffices for propagation of saturation overshoot: A quantitative comparison with experiment. (2017) (2)
- Time Automorphisms on C -Algebras (2015) (2)
- Existence and Uniqueness of Nonmonotone Solutions in Porous Media Flow (2022) (1)
- Thermodynamic potentials for the infinite range Ising model with strong coupling (2003) (1)
- Accurate lattice-Boltzmann simulations for permeability calculations in porous media (2010) (1)
- Multicanonical simulations of the tails of the order-parameter distribution of the two-dimensional Ising model (2005) (1)
- Modelling of Orientational Ordering in Lipid Monolayers (1993) (1)
- Absence of hyperscaling violations for with positive specific heat exponent (1994) (1)
- Sequential generalized Riemann–Liouville derivatives based on distributional convolution (2022) (1)
- Effective transport coefficients of anisotropic disordered materials (2022) (1)
- Fluctuation and Dissipation on Fractals: A Probabilistic Approach (1987) (1)
- On Local Equilibrium and Ergodicity (2018) (1)
- Fractional Evolution Equations and Irreversibility (2000) (1)
- Percolation as a Basic Concept for Macroscopic (2010) (0)
- Erratum to: Non-monotonic Travelling Wave Fronts in a System of Fractional Flow Equations from Porous Media (2016) (0)
- Characterization of Porous Media by Local Porosities, Minkowski Functionals and Non-Minkowski Functionals (2004) (0)
- Distribution of the Two-Dimensional Ising Model (2019) (0)
- "Nonlinearities and upscaling in porous media" (2009) (0)
- Erratum on "Some bounds for alternating Mathieu type series" (2010) (0)
- Quantitative Prediction of E ective MaterialProperties of Heterogeneous (2007) (0)
- Microstructure analysis of reconstructedporous mediaB (1999) (0)
- Second International Wilhelm and Else Heraeus Summer School Dynamics of Complex Systems: Classical and Quantum Aspects Lutherstadt Wittenberg, Germany, August 13 - 24, 2001 (2001) (0)
- Convolution on distribution spaces characterized by regularization (2023) (0)
- Local Percolation Probabilities for a Natural SandstoneR (0)
- Theoretical Aspects of Polycrystalline Pattern Growth in Al/Ge Films (1988) (0)
- CONTINUUM MONTE CARLO SIMULATION ATCONSTANT PRESSURE OF STIFF CHAIN MOLECULESAT (2007) (0)
- Foundations of statistical mechanics for unstable interactions. (2022) (0)
- The paper compares a theory for immiscible displacement based on distinguishing percolating and nonpercolating fluid parts with experimental observations from multistep outflow experiments (2014) (0)
- Saturation overshoot and hysteresis for twophase flow in porous media (2014) (0)
- SURVEY EXPERIMENTAL IMPLICATIONS OF BOCHNER-LEVY-RIESZ DIFFUSION (0)
- Composite continuous time random walks (2017) (0)
- Geometrical Problems in Porous Media (2014) (0)
- On extremal domains and codomains for convolution of distributions and fractional calculus (2022) (0)
- On Dense Branching Phase Separation (1987) (0)
- Stochastic multiscale modeling of porous media (2010) (0)
- Sequential generalized Riemann–Liouville derivatives based on distributional convolution (2022) (0)
- Percolativity of Porous Media (2022) (0)
- Ground state collapse at strong coupling (2017) (0)
- Convolution operators on weighted spaces of continuous functions and supremal convolution (2019) (0)
- Effective Physical Properties of Sandstones (2001) (0)
- Percolation and hysteresis in macroscopic capillarity (2010) (0)
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What Schools Are Affiliated With Rudolf Hilfer?
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