Dr Rainer Klages
Reader in Applied Mathematics
School of Mathematical Sciences
Queen Mary University of London
Queen Mary University of London
Research
dynamical systems, nonequilibrium statistical physics, stochastic theory, movement ecology, complex systems, nonlinear dynamics and chaos
Interests
My research combines dynamical systems theory, nonequilibrium statistical physics and stochastic theory to understand complex systems, with applications to nanoscience and especially to biology. I am interested in the emergence of fractal structures in chaotic transport processes such as diffusion. More recently I started to apply the theory of anomalous stochastic processes to explain the foraging of biological organisms. Examples are stochastic models of biological cell migration, bumblebee flights and swimming sea turtles. My research in theoretical physics and applied mathematics thus stretches from mathematical foundations to experimental applications.Publications
Publications of specific relevance to the Centre for Complex Systems2024
Yan J, Majumdar M, Ruffo S, Sato Y, Beck C and Klages R (2024). Transition to anomalous dynamics in a simple random map. Chaos An Interdisciplinary Journal of Nonlinear Science, AIP Publishing vol. 34 (2) 01-02-2024
2023
Klages R (2023). Search for Food of Birds, Fish, and Insects. Diffusive Spreading in Nature, Technology and Society 53-74. 01-01-2023
2022
Khadem M, Klages R and Klapp S (2022). Stochastic thermodynamics of fractional Brownian motion. Physical Review Research, American Physical Society 13-12-2022
Giona M, Cairoli A and Klages R (2022). In the folds of the Central Limit Theorem: Lévy walks, large deviations and higher-order anomalous diffusion. Journal of Physics A: Mathematical and Theoretical vol. 55, 475002-475002. 30-11-2022
Dieterich P, Lindemann O, Moskopp ML, Tauzin S, Huttenlocher A, Klages R, Chechkin A and Schwab A (2022). Anomalous diffusion and asymmetric tempering memory in neutrophil chemotaxis. PLoS Computational Biology, Public Library of Science vol. 18 (5), e1010089-e1010089. 18-05-2022
Giona M, Cairoli A and Klages R (2022). Extended Poisson-Kac Theory: A Unifying Framework for Stochastic Processes with Finite Propagation Velocity. Physical Review X vol. 12 (2), 021004-021004. 06-04-2022
Giona M, Cairoli A, Cocco D and Klages R (2022). Spectral Properties of Stochastic Processes Possessing Finite Propagation Velocity., Editors: Taloni A. Entropy: international and interdisciplinary journal of entropy and information studies, MDPI AG vol. 24 (2), 201-201. 28-01-2022
2021
Khadem SMJ, Klapp SHL and Klages R (2021). Search efficiency of discrete fractional Brownian motion in a random distribution of targets. Physical Review Research, American Physical Society (APS) vol. 3 (2) 02-06-2021
Watkins NW, Chapman SC, Chechkin A, Ford I, Klages R and Stainforth DA (2021). On Generalized Langevin Dynamics and the Modelling of Global Mean Temperature. Unifying Themes in Complex Systems X 433-441. 01-01-2021
2019
Palyulin VV, Blackburn G, Lomholt MA, Watkins NW, Metzler R, Klages R and Chechkin AV (2019). First passage and first hitting times of Lévy flights and Lévy walks. New Journal of Physics, IOP Publishing vol. 21 (10), 103028-103028. 11-10-2019
Giona M, D’Ovidio M, Cocco D, Cairoli A and Klages R (2019). Age representation of Lévy walks: partial density waves, relaxation and first passage time statistics. Journal of Physics A: Mathematical and Theoretical, IOP Publishing vol. 52 (38), 384001-384001. 27-08-2019
GIL GALLEGOS S, Klages R, Räsänen E and Solanpää J (2019). Energy-dependent diffusion in a soft periodic Lorentz gas. European Physical Journal - Special Topics, EDP Sciences vol. 228, 143-160. 30-05-2019
Sato Y and Klages R (2019). Anomalous Diffusion in Random Dynamical Systems. Physical Review Letters, American Physical Society (APS) vol. 122 (17), 1-6. 29-04-2019
KLAGES RG, Gallegos SSG, Solanpaa J and Rasanen E (2019). Normal and anomalous diffusion in soft Lorentz gases. Physical Review Letters, American Physical Society vol. 122, 064102-064102. 14-02-2019
2018
CAIROLI A, KLAGES R and BAULE A (2018). Weak Galilean invariance as a selection principle for coarse-grained diffusive models. Proceedings of the National Academy of Sciences, National Academy of Sciences 14-05-2018
KLAGES R (2018). Search for food of birds, fish and insects. Diffusive Spreading in Nature, Technology and Society , Editors: Bunde A. 49-69. 31-01-2018
2017
KLAGES RG, Nava-Sedeno JM, Hatzikirou H and Deutsch A (2017). Cellular automaton models for time-correlated random walks: derivation and analysis. Scientific Reports, Nature Publishing Group vol. 7 05-12-2017
Palyulin VV, Mantsevich VN, KLAGES RG, Metzler R and Chechkin AV (2017). Comparison of pure and combined search strategies for single and multiple targets. European Physical Journal B: Condensed Matter and Complex Systems, EDP Sciences 13-09-2017
Dieterich P, Lindemann O, Moskopp ML, Tauzin S, Huttenlocher A, Klages R, Chechkin A and Schwab A (2017). Asymmetric anomalous diffusion of chemotacting neutrophils. 01-01-2017
2016
Palyulin VV, KLAGES RG, Chechkin AV and Metzler R (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, IOP Publishing: Hybrid Open Access vol. 49 (39), 394002-394002. 08-09-2016
Taylor-King JP, KLAGES R, Van Gorder RA and Fedotov S (2016). A Fractional Diffusion Equation for an n-Dimensional Correlated Levy Walk. Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics vol. 94, 012104-012104. 06-07-2016
2015
Salari L, Rondoni L, Giberti C and Klages R (2015). A simple non-chaotic map generating subdiffusive, diffusive and
superdiffusive dynamics. Chaos vol. 25 14-07-2015
Dieterich P, Klages R and Chechkin AV (2015). Fluctuation relations for anomalous dynamics generated by time-fractional Fokker–Planck equations. New Journal of Physics, IOP Publishing vol. 17 (7) 01-07-2015
2014
Rodrigues CS, Chechkin AV, de Moura APS, Grebogi C and Klages R (2014). Diffusion in randomly perturbed dissipative dynamics. EPL (Europhysics Letters), IOP Publishing vol. 108 (4) 01-11-2014
2013
Klages R (2013). Nonequilibrium Statistical Physics of Small Systems - Fluctuation Relations and Beyond., Editors: Klages R, Just W and Jarzynski C. 08-03-2013
KLAGES RG (2013). Weak chaos, infinite ergodic theory, and anomalous dynamics. From Hamiltonian Chaos to Complex Systems , Editors: Leoncini X and Leonetti M. 3-42. 01-01-2013
KLAGES RG, Wolfram J, Jarzynski C and Schuster HG (2013). Anomalous fluctuation relations. Nonequilibrium Statistical Physics of Small Systems: Fluctuation Relations and Beyond , Editors: Schuster HG. 01-01-2013
Lenz F, Chechkin AV and Klages R (2013). Constructing a stochastic model of bumblebee flights from experimental data. PLoS One, PloS vol. 8 (3), e59036-e59043. 01-01-2013
2012
Chechkin AV, Lenz F and Klages R (2012). Normal and anomalous fluctuation relations for Gaussian stochastic dynamics. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, IOP PUblishing vol. 2012 01-11-2012
Knight G, Georgiou O, Dettmann CP and Klages R (2012). Dependence of chaotic diffusion on the size and position of holes. Chaos, AIP Publishing vol. 22 (2), 023132-123144. 01-06-2012
Lenz F, Ings TC, Chittka L, Chechkin AV and Klages R (2012). Spatiotemporal Dynamics of Bumblebees Foraging under Predation Risk. PHYSICAL REVIEW LETTERS, American Physical Society vol. 108 (9), 098103-098108. 01-03-2012
Waldner F and Klages R (2012). Symmetric Jacobian for local Lyapunov exponents and Lyapunov stability analysis revisited. CHAOS SOLITONS & FRACTALS, Elsevier/Science Direct vol. 45 (3), 325-340. 01-03-2012
2011
Klages R and Knight G (2011). Reply to the comment of T.Gilbert and D.P.Sanders on Capturing
correlations in chaotic diffusion by approximation methods. 16-12-2011
Knight G and Klages R (2011). Capturing correlations in chaotic diffusion by approximation methods. PHYS REV E, American Physical Society vol. 84 (4), 041135-041146. 25-10-2011
Colangeli M, Klages R, De Gregorio P and Rondoni L (2011). Steady state fluctuation relations and time reversibility for non-smooth chaotic maps. J STAT MECH-THEORY E, IOP PUblishing vol. 2011, p04021-p04044. 01-04-2011
KLAGES RG (2011). Chaos -- The Science of Predictable Random Motion. Physik Journal vol. 10, 48-48. 01-01-2011
Knight G and Klages R (2011). Linear and fractal diffusion coefficients in a family of one-dimensional chaotic maps. NONLINEARITY, IOP PUblishing vol. 24 (1), 227-241. 01-01-2011
2010
Klages R (2010). From Deterministic Chaos to Anomalous Diffusion. Reviews of Nonlinear Dynamics and Complexity 169-227. 10-03-2010
KLAGES RG (2010). From deterministic chaos to anomalous diffusion. Reviews of nonlinear dynamics and complexity 01-01-2010
Klages R, Radons G and Sokolov IM (2010). Anomalous Transport: Experimental Results and Theoretical Challenges. Physik Journal vol. 5 (10), 63-63. 01-01-2010
2009
Chechkin AV and Klages R (2009). Fluctuation relations for anomalous dynamics. J STAT MECH-THEORY E, IOP PUblishing vol. 2009, L03002-L03014. 01-03-2009
2008
Keller G, Howard PJ and Klages R (2008). Continuity properties of transport coefficients in simple maps. NONLINEARITY, IOP PUblishing vol. 21 (8), 1719-1743. 01-08-2008
Dieterich P, Klages R, Preuss R and Schwab A (2008). Anomalous dynamics of cell migration. Proc Natl Acad Sci U S A, United States National Academy of Sciences vol. 105 (2), 459-463. 15-01-2008
Klages R (2008). Anomalous transport - Foundations and Applications., Editors: Klages R, Radons G and Sokolov IM. 01-01-2008
2007
Klages R (2007). Chaos: A Very Short Introduction. Journal of Physics A: Mathematical and Theoretical, IOP Publishing vol. 40 (29) 03-07-2007
Korabel N, Klages R, Chechkin AV, Sokolov IM and Gonchar VY (2007). Fractal properties of anomalous diffusion in intermittent maps. Phys Rev E Stat Nonlin Soft Matter Phys vol. 75 (3 Pt 2) 01-03-2007
KLAGES RG (2007). Microscopic Chaos, Fractals and Transport in Nonequilibrium Statistical Mechanics. 01-01-2007
2005
Korabel N, Chechkin AV, Klages R, Sokolov IM and Gonchar VY (2005). Understanding anomalous transport in intermittent maps: From continuous-time random walks to fractals. EUROPHYS LETT vol. 70 (1), 63-69. 01-04-2005
KLAGES RG, Schwab A, Stock C, Dreval V, Preuss R and Dieterich P (2005). Brownian motion of migrating cells?, in: E.Schoell, K.Luedge (Eds.), XXV. Dynamics Days Europe 2005: Book of Abstracts. Europhysics Conference. 01-01-2005
KLAGES RG (2005). Deterministic chaos and diffusion: from theory to experiment. Diffusion Fundamentals, Leipziger Universitaetsverlag, Leipzig. 01-01-2005
2004
Klages R, Barna IF and Matyas L (2004). Spiral modes in the diffusion of a single granular particle on a vibrating surface. PHYS LETT A vol. 333 (1-2), 79-84. 29-11-2004
Korabel N and Klages R (2004). Fractality of deterministic diffusion in the nonhyperbolic climbing sine map. Physica D-Nonlinear Phenomena vol. 187 (1-4), 66-88. 01-01-2004
Korabel N and Klages R (2004). Deterministic diffusion in smooth nonlinear maps., Editors: Klonowski W. 317-324. 01-01-2004
KLAGES RG, Gaspard P, van Beijeren H and Dorfman JR (2004). Special issue on Microscopic Chaos and Transport in Many-Particle Systems. 01-01-2004
Matyas L and Klages R (2004). Irregular diffusion in the bouncing ball billiard. PHYSICA D-NONLINEAR PHENOMENA vol. 187 (1-4), 165-183. 01-01-2004
Klages R, van Beijeren H, Gaspard P and Dorfman JR (2004). Microscopic chaos and transport in many-particle systems - Preface. PHYSICA D vol. 187 (1-4), 1-2. 01-01-2004
2003
Klages R (2003). Microscopic chaos and transport in thermostated dynamical systems. published as Part 2 in: R.Klages, Microscopic Chaos, Fractals and
Transport in Nonequilibrium Statistical Mechanics (Advanced Series in
Nonlinear Dynamics Vol.24, World Scientific, Singapore, 2007, ISBN
978-981-256-507-5) 26-09-2003
Klages R and Klauss T (2003). Fractal fractal dimensions of deterministic transport coefficients. J PHYS A-MATH GEN vol. 36 (21), 5747-5764. 30-05-2003
KLAGES RG (2003). Irregular diffusion in the bouncing ball billiard. Dresden Technical University, Dresden, Germany Verhandl. DPG (VI) 38. 01-01-2003
KLAGES RG and Korabel N (2003). Fractality of deterministic diffusion in nonhyperbolic maps. Dresden Technical University, Dresden, Germany Verhandl. DPG (VI) 38. 01-01-2003
KLAGES RG (2003). Transitions from deterministic to stochastic diffusion. Dresden Technical University, Dresden, Germany Verhandl. DPG (VI) 38. 01-01-2003
2002
Korabel N and Klages R (2002). Fractal structures of normal and anomalous diffusion in nonlinear nonhyperbolic dynamical systems. PHYS REV LETT vol. 89 (21) 18-11-2002
Groeneveld J and Klages R (2002). Negative and nonlinear response in an exactly solved dynamical model of particle transport. J STAT PHYS vol. 109 (3-4), 821-861. 01-11-2002
Harayama T, Klages R and Gaspard P (2002). Deterministic diffusion in flower-shaped billiards. PHYS REV E vol. 66 (2) 01-08-2002
Klages R (2002). Comment on Analysis of chaotic motion and its shape dependence in a generalized piecewise linear map. PHYS REV E vol. 66 (1) 01-07-2002
Klages R and Korabel N (2002). Understanding deterministic diffusion by correlated random walks. J PHYS A-MATH GEN vol. 35 (23), 4823-4836. 14-06-2002
Klages R (2002). Suppression and enhancement of diffusion in disordered dynamical systems. Phys Rev E Stat Nonlin Soft Matter Phys vol. 65 (5 Pt 2) 01-05-2002
Rateitschak K and Klages R (2002). Lyapunov instability for a periodic Lorentz gas thermostated by deterministic scattering. PHYS REV E vol. 65 (3) 01-03-2002
KLAGES RG and Klages R (2002). Transitions from deterministic to stochastic diffusion. Europhys. Lett. vol. 57, 796-802. 01-01-2002
Klages R and Korabel N (2002). Understanding deterministic diffusion by correlated random walks. J. Phys. A: Math. Gen. vol. 35, 4823-4836. 01-01-2002
Korabel N and Klages R (2002). Fractal Structures of Normal and Anomalous Diffusion in Nonlinear Nonhyperbolic Dynamical Systems. Physical Review Letters vol. 89 (21) 01-01-2002
KLAGES RG (2002). Suppression and enhancement of deterministic diffusion in disordered dynamical systems. Phys. Rev. E vol. 65, 1-4. 01-01-2002
2001
KLAGES RG (2001). Zufallsbewegung und deterministische Diffusion im periodischen Lorentzgas. University of Hamburg, Hamburg, Germany Verhandl. DPG (VI) 38. 01-01-2001
2000
Klages R, Rateitschak K and Nicolis G (2000). Thermostating by Deterministic Scattering: Construction of Nonequilibrium Steady States. Physical Review Letters, American Physical Society (APS) vol. 84 (19), 4268-4271. 08-05-2000
Rateitschak K, KLAGES RG and Nicolis G (2000). Thermostating by deterministic scattering: the periodic Lorentz gas. J. Stat. Phys. vol. 99, 1339-1364. 01-01-2000
Rateitschak K, KLAGES RG and Hoover WG (2000). The Nosé-Hoover thermostated Lorentz gas. J. Stat. Phys. vol. 101, 61-77. 01-01-2000
KLAGES RG, Rateitschak K and Nicolis G (2000). Thermostating by deterministic scattering: Construction of Nonequilibrium Steady States. Phys. Rev. Lett. vol. 84, 4268-4271. 01-01-2000
KLAGES RG and Dellago C (2000). Density-dependent diffusion in the periodic Lorentz gas. J. Stat. Phys. vol. 101, 145-159. 01-01-2000
1999
Wagner C, KLAGES RG and Nicolis G (1999). Thermostating by deterministic scattering: heat and shear flow. Phys. Rev. E vol. 60, 1401-1411. 01-01-1999
KLAGES RG and Dorfman JR (1999). Simple deterministic dynamical systems with fractal diffusion coefficients. Phys. Rev. E vol. 59, 5361-5383. 01-01-1999
1998
Gaspard P and KLAGES RG (1998). Chaotic and fractal properties of deterministic diffusion-reaction processes. Chaos vol. 8, 409-423. 01-01-1998
1997
KLAGES RG and Dorfman JR (1997). Dynamical crossover in deterministic diffusion. Phys. Rev. E vol. 55, R1247-R1250. 01-01-1997
1996
Klages R and Dorfman JR (1996). Backscattering-Induced Crossover in Deterministic Diffusion. Published to ArXiv.org 07-07-1996
1995
KLAGES RG and Dorfman JR (1995). Simple maps with fractal diffusion coefficients. Phys. Rev. Lett. vol. 74, 387-390. 01-01-1995