Dr Rainer Klages
Reader in Applied Mathematics
Email: r.klages@qmul.ac.ukTelephone: +44 (0)20 7882 5448Room Number: Mathematical Sciences Building, Room: MB-425Website: http://www.maths.qmul.ac.uk/~klages/Office Hours: Tuesday 11.30h-12.30h online on https://whereby.com/rainerklages . In urgent cases please ask by e-mail for an appointment.
Profile
Rainer spent several years as a postdoctoral researcher in the USA, Hungary, Belgium and Germany before moving to Queen Mary University of London in 2004 as a lecturer in applied mathematics. His research combines dynamical systems theory, nonequilibrium statistical physics and stochastic theory to understand complex systems, with applications to nanoscience and biology. He is interested in the emergence of fractal structures in chaotic transport processes such as diffusion. More recently he started to apply the theory of anomalous stochastic processes to understand the foraging of biological organisms. Examples are stochastic models of biological cell migration and bumblebee flights. His research in theoretical physics and applied mathematics thus stretches from mathematical foundations to experimental applications. For three years he was Director of Postgraduate Research Studies at the School of Mathematical Sciences. He is often teaching large first-year courses like Calculus. In 2019 he was on research leave at the Technical University of Berlin as a Mercator Visiting Professor.
Teaching
Essential Mathematical Skills (foundation year)
Undergraduate Teaching
Calculus 2, Calculus 1, Differential Equations, Quantum Theory
Postgraduate Teaching
Introduction to Dynamical Systems (MSc), Applied Dynamical Systems (PhD)
Research
Examples of research funding:
Office of Naval Research Global, Mercator Foundation, London Mathematical Laboratory, Max Planck Society, EPSRC, German Research Foundation, German Academic Exchange Service
Publications
selected publications:
Y.Sato, R.Klages, Anomalous diffusion in random dynamical systems, Phys. Rev. Lett. 122, 174101/1--6 (2019)
R.Klages, S.S.G.Gallegos, M.Sarvilahti, J.Solanpaa, E.Rasanen, Normal and anomalous diffusion in soft Lorentz gases, Phys. Rev. Lett. 122, 064102/1--5 (2019)
A. Cairoli, R. Klages, A. Baule, Weak Galilean invariance as a selection principle for coarse-grained diffusive models, PNAS 115, 5714-–5719 (2018)
F.Lenz, T.Ings, A.V.Chechkin, L.Chittka, R.Klages, Spatio-temporal dynamics of bumblebees foraging under predation risk, Phys. Rev. Lett. 108, 098103/1--5 (2012)
R. Klages, G.Radons, I.M.Sokolov (Eds.), Anomalous transport (Wiley-VCH, Weinheim, July 2008), 584 pages;
P.Dieterich, R.Klages, R.Preuss, A.Schwab, Anomalous dynamics of cell migration, PNAS 105, 459--463 (2008)
R.Klages, Microscopic Chaos, Fractals and Transport in Nonequilibrium Statistical Mechanics, monograph, Advanced Series in Nonlinear Dynamics Vol.24 (World Scientific, Singapore, June 2007), 456 pages
R.Klages, J.R.Dorfman, Simple maps with fractal diffusion coefficients, Phys. Rev. Lett. 74, 387-390 (1995)
-
(publicationYear). Search efficiency of discrete fractional Brownian motion in a random distribution of targets Physical Review Research.
-
(2021). On Generalized Langevin Dynamics and the Modelling of Global Mean Temperature journal.
-
(2019). First passage and first hitting times of Lévy flights and Lévy walks New Journal of Physics.
-
(2019). Age representation of Lévy walks: partial density waves, relaxation and first passage time statistics Journal of Physics A: Mathematical and Theoretical.
-
(2019). Energy-dependent diffusion in a soft periodic Lorentz gas European Physical Journal - Special Topics.
-
(2019). Anomalous Diffusion in Random Dynamical Systems Physical Review Letters.
-
(2019). Normal and anomalous diffusion in soft Lorentz gases Physical Review Letters.
-
(2018). Weak Galilean invariance as a selection principle for coarse-grained diffusive models Proceedings of the National Academy of Sciences.
-
(2017). Cellular automaton models for time-correlated random walks: derivation and analysis Scientific Reports.
-
(2017). Comparison of pure and combined search strategies for single and multiple targets European Physical Journal B: Condensed Matter and Complex Systems.
-
(2016). Search reliability and search efficiency of combined Lévy–Brownian motion: long relocations mingled with thorough local exploration Journal of Physics A: Mathematical and Theoretical.
-
(2016). A Fractional Diffusion Equation for an n-Dimensional Correlated Levy Walk Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics.
-
(publicationYear). A simple non-chaotic map generating subdiffusive, diffusive and superdiffusive dynamics Chaos.
-
(2015). Fluctuation relations for anomalous dynamics generated by time-fractional Fokker-Planck equations New Journal of Physics.
-
(2014). Diffusion in randomly perturbed dissipative dynamics EPL.
-
(2013). Nonequilibrium Statistical Physics of Small Systems - Fluctuation Relations and Beyond journal.
-
(2013). Constructing a stochastic model of bumblebee flights from experimental data. PLoS One.
-
(2013). Weak chaos, infinite ergodic theory, and anomalous dynamics journal.
-
(2012). Normal and anomalous fluctuation relations for Gaussian stochastic dynamics JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT.
-
(2012). Dependence of chaotic diffusion on the size and position of holes. Chaos.
-
(2012). Spatiotemporal Dynamics of Bumblebees Foraging under Predation Risk PHYSICAL REVIEW LETTERS.
-
(2012). Symmetric Jacobian for local Lyapunov exponents and Lyapunov stability analysis revisited CHAOS SOLITONS & FRACTALS.
-
(2011). Capturing correlations in chaotic diffusion by approximation methods PHYS REV E.
-
(2011). Steady state fluctuation relations and time reversibility for non-smooth chaotic maps J STAT MECH-THEORY E.
-
(2011). Chaos -- The Science of Predictable Random Motion Journal of Statistical Physics.
-
(2011). Linear and fractal diffusion coefficients in a family of one-dimensional chaotic maps NONLINEARITY.
-
(2009). Fluctuation relations for anomalous dynamics J STAT MECH-THEORY E.
-
(2008). Continuity properties of transport coefficients in simple maps NONLINEARITY.
-
(2008). Anomalous dynamics of cell migration. Proc Natl Acad Sci U S A.
-
(2007). Chaos: A Very Short Introduction Journal of Physics A: Mathematical and Theoretical.
-
(2007). Fractal properties of anomalous diffusion in intermittent maps. Phys Rev E Stat Nonlin Soft Matter Phys.
-
(2007). Microscopic Chaos, Fractals and Transport in Nonequilibrium Statistical Mechanics journal.
-
(2005). Understanding anomalous transport in intermittent maps: From continuous-time random walks to fractals EUROPHYS LETT.
-
(2004). Spiral modes in the diffusion of a single granular particle on a vibrating surface PHYS LETT A.
-
(2004). Irregular diffusion in the bouncing ball billiard PHYSICA D-NONLINEAR PHENOMENA.
-
(2004). Microscopic chaos and transport in many-particle systems - Preface PHYSICA D.
-
(2003). Fractal fractal dimensions of deterministic transport coefficients J PHYS A-MATH GEN.
-
(2002). Fractal structures of normal and anomalous diffusion in nonlinear nonhyperbolic dynamical systems PHYS REV LETT.
-
(2002). Negative and nonlinear response in an exactly solved dynamical model of particle transport J STAT PHYS.
-
(2002). Deterministic diffusion in flower-shaped billiards PHYS REV E.
-
(2002). Comment on "Analysis of chaotic motion and its shape dependence in a generalized piecewise linear map" PHYS REV E.
-
(2002). Understanding deterministic diffusion by correlated random walks J PHYS A-MATH GEN.
-
(2002). Suppression and enhancement of diffusion in disordered dynamical systems. Phys Rev E Stat Nonlin Soft Matter Phys.
-
(2002). Lyapunov instability for a periodic Lorentz gas thermostated by deterministic scattering PHYS REV E.
-
(2002). Transitions from deterministic to stochastic diffusion EUROPHYS LETT.
-
(2002). Fractal Structures of Normal and Anomalous Diffusion in Nonlinear Nonhyperbolic Dynamical Systems Physical Review Letters.
-
(2002). Transitions from deterministic to stochastic diffusion Europhys. Lett..
-
(2002). Understanding deterministic diffusion by correlated random walks J. Phys. A: Math. Gen..
-
(2000). Density-dependent diffusion in the periodic Lorentz gas JOURNAL OF STATISTICAL PHYSICS.
-
(2000). The Nose-Hoover thermostated Lorentz gas JOURNAL OF STATISTICAL PHYSICS.
-
(2000). Thermostating by deterministic scattering: Construction of Nonequilibrium Steady States Phys. Rev. Lett..
-
(2000). Thermostating by deterministic scattering: the periodic Lorentz gas J. Stat. Phys..
-
(1999). Simple deterministic dynamical systems with fractal diffusion coefficients Phys. Rev. E.
-
(1999). Thermostating by deterministic scattering: heat and shear flow Phys. Rev. E.
-
(1998). Chaotic and fractal properties of deterministic diffusion-reaction processes Chaos.
-
(1997). Dynamical crossover in deterministic diffusion Phys. Rev. E.
-
(1995). Simple maps with fractal diffusion coefficients Phys. Rev. Lett..
Supervision
5 postdocs, 5 PhD students, 16 masters students