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
Generalised Lyapunov stretching in a weakly chaotic open dynamical systemBrevitt S and Klages R
Journal of Physics Conference Series. vol. 2839 (1), 012013-012013.
01-09-2024
The Challenge of Non-Markovian Energy Balance Models in ClimateWatkins N, Calel R, Chapman S, Chechkin A, Klages R and Stainforth D
Chaos: An Interdisciplinary Journal of Nonlinear Science, American Institute of Physics vol. 34, 072105-072105.
30-07-2024
Cell migration: Beyond Brownian motionKlages R
Biophysical Journal, Biophysical Society vol. 123, 1167-1169.
17-04-2024
Transition to anomalous dynamics in a simple random mapKlages R, Yan J, Beck C, Majumdar M, Ruffo S and Sato Y
Chaos: An Interdisciplinary Journal of Nonlinear Science, American Institute of Physics
20-02-2024
2023
Progess in non-Markovian (and Fractional) StochasticClimate Modelling: A GLE-based perspectiveWatkins NW, Calel R, Chapman S, Chechkin A, Ford I, Klages R and Stainforth D
15-05-2023
Search for Food of Birds, Fish, and InsectsKlages R
In Diffusive Spreading in Nature, Technology and Society, Springer Nature 53-74.
01-01-2023
2022
Stochastic thermodynamics of fractional Brownian motionKhadem M, Klages R and Klapp S
Physical Review Research, American Physical Society
13-12-2022
In the folds of the Central Limit Theorem: Lévy walks, large deviations and higher-order anomalous diffusionGiona M, Cairoli A and Klages R
Journal of Physics a: Mathematical and Theoretical vol. 55, 475002-475002.
30-11-2022
Anomalous diffusion and asymmetric tempering memory in neutrophil chemotaxis.Dieterich P, Lindemann O, Moskopp ML, Tauzin S, Huttenlocher A, Klages R, Chechkin A and Schwab A
Plos Computational Biology, Public Library of Science vol. 18 (5), e1010089-e1010089.
18-05-2022
Extended Poisson-Kac Theory: A Unifying Framework for Stochastic Processes with Finite Propagation VelocityGiona M, Cairoli A and Klages R
Physical Review X vol. 12 (2), 021004-021004.
06-04-2022
Beyond Hasselmann and Leith: The challenge of non-Markovian and fractional stochastic climate modellingWatkins NW, Calel R, Chapman S, Chechkin A, Ford I, Klages R and Stainforth D
27-03-2022
Spectral Properties of Stochastic Processes Possessing Finite Propagation VelocityGiona M, Cairoli A, Cocco D and Klages R
Entropy: International and Interdisciplinary Journal of Entropy and Information Studies, Mdpi Ag vol. 24 (2), 201-201. Editors: Taloni A.
28-01-2022
2021
Search efficiency of discrete fractional Brownian motion in a random distribution of targetsKhadem SMJ, Klapp SHL and Klages R
Physical Review Research, American Physical Society (Aps) vol. 3 (2)
02-06-2021
On Generalized Langevin Dynamics and the Modelling of Global Mean TemperatureWatkins NW, Chapman SC, Chechkin A, Ford I, Klages R and Stainforth D
04-03-2021
On Generalized Langevin Dynamics and the Modelling of Global Mean TemperatureWatkins NW, Chapman SC, Chechkin A, Ford I, Klages R and Stainforth DA
In Unifying Themes in Complex Systems X, Springer Nature 433-441.
01-01-2021
2019
First passage and first hitting times of Lévy flights and Lévy walksPalyulin VV, Blackburn G, Lomholt MA, Watkins NW, Metzler R, Klages R and Chechkin AV
New Journal of Physics, Iop Publishing vol. 21 (10), 103028-103028.
11-10-2019
Age representation of Lévy walks: partial density waves, relaxation and first passage time statisticsGiona M, D’Ovidio M, Cocco D, Cairoli A and Klages R
Journal of Physics a: Mathematical and Theoretical, Iop Publishing vol. 52 (38), 384001-384001.
27-08-2019
Energy-dependent diffusion in a soft periodic Lorentz gasGIL GALLEGOS S, Klages R, Räsänen E and Solanpää J
European Physical Journal - Special Topics, Edp Sciences vol. 228, 143-160.
30-05-2019
Anomalous Diffusion in Random Dynamical SystemsSato Y and Klages R
Physical Review Letters, American Physical Society (Aps) vol. 122 (17), 1-6.
29-04-2019
Normal and anomalous diffusion in soft Lorentz gasesKLAGES RG, Gallegos SSG, Solanpaa J and Rasanen E
Physical Review Letters, American Physical Society vol. 122, 064102-064102.
14-02-2019
2018
Weak Galilean invariance as a selection principle for coarse-grained diffusive modelsCAIROLI A, KLAGES R and BAULE A
Proceedings of The National Academy of Sciences, National Academy of Sciences
14-05-2018
Search for food of birds, fish and insectsKLAGES R
In Diffusive Spreading in Nature, Technology and Society, Springer 49-69. Editors: Bunde A.
31-01-2018
2017
Cellular automaton models for time-correlated random walks: derivation and analysisKLAGES RG, Nava-Sedeno JM, Hatzikirou H and Deutsch A
Scientific Reports, Nature Publishing Group vol. 7
05-12-2017
Comparison of pure and combined search strategies for single and multiple targetsPalyulin VV, Mantsevich VN, KLAGES RG, Metzler R and Chechkin AV
European Physical Journal B: Condensed Matter and Complex Systems, Edp Sciences
13-09-2017
Asymmetric anomalous diffusion of chemotacting neutrophilsDieterich P, Lindemann O, Moskopp ML, Tauzin S, Huttenlocher A, Klages R, Chechkin A and Schwab A
ACTA PHYSIOLOGICA. vol. 219, 68-68.
01-01-2017
2016
Chaos in Statistical PhysicsKlages R
In Dynamical and Complex Systems, World Scientific Publishing 1-40.
26-12-2016
Search reliability and search efficiency of combined Lévy–Brownian motion: long relocations mingled with thorough local explorationPalyulin VV, KLAGES RG, Chechkin AV and Metzler R
Journal of Physics a: Mathematical and Theoretical, Iop Publishing: Hybrid Open Access vol. 49 (39), 394002-394002.
08-09-2016
A Fractional Diffusion Equation for an n-Dimensional Correlated Levy WalkTaylor-King JP, KLAGES R, Van Gorder RA and Fedotov S
Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics vol. 94, 012104-012104.
06-07-2016
2015
Chaotic diffusion in periodic lattices with repulsive potentialsGil S, Solanpää J, Hämälainen T, Räsänen E and Klages R
Diffusion Fundamentals, Leipzig University Library vol. 24
01-09-2015
A simple non-chaotic map generating subdiffusive, diffusive and
superdiffusive dynamicsSalari L, Rondoni L, Giberti C and Klages R
Chaos vol. 25
14-07-2015
Fluctuation relations for anomalous dynamics generated by time-fractional Fokker–Planck equationsDieterich P, Klages R and Chechkin AV
New Journal of Physics, Iop Publishing vol. 17 (7)
01-07-2015
2014
Diffusion in randomly perturbed dissipative dynamicsRodrigues CS, Chechkin AV, de Moura APS, Grebogi C and Klages R
Epl (Europhysics Letters), Iop Publishing vol. 108 (4)
01-11-2014
2013
Nonequilibrium Statistical Physics of Small Systems - Fluctuation Relations and BeyondKlages R
Editors: Klages R, Just W and Jarzynski C.
08-03-2013
Anomalous fluctuation relationsKLAGES RG, Wolfram J, Jarzynski C and Schuster HG
In Nonequilibrium Statistical Physics of Small Systems: Fluctuation Relations and Beyond, Wiley-Vch Editors: Schuster HG.
01-01-2013
Weak chaos, infinite ergodic theory, and anomalous dynamicsKLAGES RG
In From Hamiltonian Chaos to Complex Systems, Springer 3-42. Editors: Leoncini X and Leonetti M.
01-01-2013
Constructing a stochastic model of bumblebee flights from experimental data.Lenz F, Chechkin AV and Klages R
Plos One, Plos vol. 8 (3), e59036-e59043.
01-01-2013
2012
Normal and anomalous fluctuation relations for Gaussian stochastic dynamicsChechkin AV, Lenz F and Klages R
Journal of Statistical Mechanics-Theory and Experiment, Iop Publishing vol. 2012
01-11-2012
Dependence of chaotic diffusion on the size and position of holes.Knight G, Georgiou O, Dettmann CP and Klages R
Chaos, Aip Publishing vol. 22 (2), 023132-123144.
01-06-2012
Spatiotemporal Dynamics of Bumblebees Foraging under Predation RiskLenz F, Ings TC, Chittka L, Chechkin AV and Klages R
Physical Review Letters, American Physical Society vol. 108 (9), 098103-098108.
01-03-2012
Symmetric Jacobian for local Lyapunov exponents and Lyapunov stability analysis revisitedWaldner F and Klages R
Chaos Solitons & Fractals, Elsevier/Science Direct vol. 45 (3), 325-340.
01-03-2012
2011
Reply to the comment of T.Gilbert and D.P.Sanders on Capturing
correlations in chaotic diffusion by approximation methodsKlages R and Knight G
16-12-2011
Capturing correlations in chaotic diffusion by approximation methodsKnight G and Klages R
Phys Rev E, American Physical Society vol. 84 (4), 041135-041146.
25-10-2011
Steady state fluctuation relations and time reversibility for non-smooth chaotic mapsColangeli M, Klages R, De Gregorio P and Rondoni L
J Stat Mech-Theory E, Iop Publishing vol. 2011, p04021-p04044.
01-04-2011
Chaos -- The Science of Predictable Random MotionKLAGES RG
Physik Journal vol. 10, 48-48.
01-01-2011
Linear and fractal diffusion coefficients in a family of one-dimensional chaotic mapsKnight G and Klages R
Nonlinearity, Iop Publishing vol. 24 (1), 227-241.
01-01-2011
2010
From Deterministic Chaos to Anomalous DiffusionKlages R
In Reviews of Nonlinear Dynamics and Complexity, Wiley 169-227.
10-03-2010
From deterministic chaos to anomalous diffusionKLAGES RG
In Reviews of Nonlinear Dynamics and Complexity, Wiley-Vch
01-01-2010
Anomalous Transport: Experimental Results and Theoretical ChallengesKlages R, Radons G and Sokolov IM
Physik Journal vol. 5 (10), 63-63.
01-01-2010
2009
Fluctuation relations for anomalous dynamicsChechkin AV and Klages R
J Stat Mech-Theory E, Iop Publishing vol. 2009, L03002-L03014.
01-03-2009
2008
Continuity properties of transport coefficients in simple mapsKeller G, Howard PJ and Klages R
Nonlinearity, Iop Publishing vol. 21 (8), 1719-1743.
01-08-2008
Anomalous dynamics of cell migration.Dieterich P, Klages R, Preuss R and Schwab A
Proc Natl Acad Sci U S A, United States National Academy of Sciences vol. 105 (2), 459-463.
15-01-2008
Anomalous transport - Foundations and ApplicationsKlages R
Editors: Klages R, Radons G and Sokolov IM.
01-01-2008
2007
Chaos: A Very Short IntroductionKlages R
Journal of Physics a: Mathematical and Theoretical, Iop Publishing vol. 40 (29)
03-07-2007
Fractal properties of anomalous diffusion in intermittent maps.Korabel N, Klages R, Chechkin AV, Sokolov IM and Gonchar VY
Phys Rev E Stat Nonlin Soft Matter Phys vol. 75 (3 Pt 2)
01-03-2007
Microscopic Chaos, Fractals and Transport in Nonequilibrium Statistical MechanicsKLAGES RG
01-01-2007
2005
Deterministic chaos and diffusionKlages R
Diffusion Fundamentals, Leipzig University Library vol. 2
25-09-2005
Understanding anomalous transport in intermittent maps: From continuous-time random walks to fractalsKorabel N, Chechkin AV, Klages R, Sokolov IM and Gonchar VY
Europhys Lett vol. 70 (1), 63-69.
01-04-2005
Brownian motion of migrating cells?, in: E.Schoell, K.Luedge (Eds.), XXVKLAGES RG, Schwab A, Stock C, Dreval V, Preuss R and Dieterich P
Dynamics Days Europe 2005: Book of Abstracts. Europhysics Conference.
01-01-2005
Deterministic chaos and diffusion: from theory to experimentKLAGES RG
Diffusion Fundamentals, Leipziger Universitaetsverlag, Leipzig.
01-01-2005
2004
Spiral modes in the diffusion of a single granular particle on a vibrating surfaceKlages R, Barna IF and Matyas L
Phys Lett A vol. 333 (1-2), 79-84.
29-11-2004
Fractality of deterministic diffusion in the nonhyperbolic climbing sine mapKorabel N and Klages R
Physica D-Nonlinear Phenomena vol. 187 (1-4), 66-88.
01-01-2004
Deterministic diffusion in smooth nonlinear mapsKorabel N and Klages R
317-324. Editors: Klonowski W.
01-01-2004
Special issue on Microscopic Chaos and Transport in Many-Particle SystemsKLAGES RG, Gaspard P, van Beijeren H and Dorfman JR
01-01-2004
Irregular diffusion in the bouncing ball billiardMatyas L and Klages R
Physica D-Nonlinear Phenomena vol. 187 (1-4), 165-183.
01-01-2004
Microscopic chaos and transport in many-particle systems - PrefaceKlages R, van Beijeren H, Gaspard P and Dorfman JR
Physica D vol. 187 (1-4), 1-2.
01-01-2004
2003
Microscopic chaos and transport in thermostated dynamical systemsKlages R
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
Fractal fractal dimensions of deterministic transport coefficientsKlages R and Klauss T
J Phys a-Math Gen vol. 36 (21), 5747-5764.
30-05-2003
Irregular diffusion in the bouncing ball billiardKLAGES RG
Dresden Technical University, Dresden, Germany Verhandl. DPG (VI) 38.
01-01-2003
Fractality of deterministic diffusion in nonhyperbolic mapsKLAGES RG and Korabel N
Dresden Technical University, Dresden, Germany Verhandl. DPG (VI) 38.
01-01-2003
Transitions from deterministic to stochastic diffusionKLAGES RG
Dresden Technical University, Dresden, Germany Verhandl. DPG (VI) 38.
01-01-2003
2002
Fractal structures of normal and anomalous diffusion in nonlinear nonhyperbolic dynamical systemsKorabel N and Klages R
Phys Rev Lett vol. 89 (21)
18-11-2002
Negative and nonlinear response in an exactly solved dynamical model of particle transportGroeneveld J and Klages R
J Stat Phys vol. 109 (3-4), 821-861.
01-11-2002
Deterministic diffusion in flower-shaped billiardsHarayama T, Klages R and Gaspard P
Phys Rev E vol. 66 (2)
01-08-2002
Comment on Analysis of chaotic motion and its shape dependence in a generalized piecewise linear mapKlages R
Phys Rev E vol. 66 (1)
01-07-2002
Understanding deterministic diffusion by correlated random walksKlages R and Korabel N
J Phys a-Math Gen vol. 35 (23), 4823-4836.
14-06-2002
Suppression and enhancement of diffusion in disordered dynamical systems.Klages R
Phys Rev E Stat Nonlin Soft Matter Phys vol. 65 (5 Pt 2)
01-05-2002
Transitions from deterministic to stochastic diffusionKlages R
EUROPHYS LETT. vol. 57 (6), 796-802.
01-03-2002
Lyapunov instability for a periodic Lorentz gas thermostated by deterministic scatteringRateitschak K and Klages R
Phys Rev E vol. 65 (3)
01-03-2002
Transitions from deterministic to stochastic diffusionKLAGES RG and Klages R
Europhys. Lett. vol. 57, 796-802.
01-01-2002
Understanding deterministic diffusion by correlated random walksKlages R and Korabel N
J. Phys. a: Math. Gen. vol. 35, 4823-4836.
01-01-2002
Fractal Structures of Normal and Anomalous Diffusion in Nonlinear Nonhyperbolic Dynamical SystemsKorabel N and Klages R
Physical Review Letters vol. 89 (21)
01-01-2002
Suppression and enhancement of deterministic diffusion in disordered dynamical systemsKLAGES RG
Phys. Rev. E vol. 65, 1-4.
01-01-2002
2001
Zufallsbewegung und deterministische Diffusion im periodischen LorentzgasKLAGES RG
University of Hamburg, Hamburg, Germany Verhandl. DPG (VI) 38.
01-01-2001
2000
Density-dependent diffusion in the periodic Lorentz gasKlages R and Dellago C
JOURNAL OF STATISTICAL PHYSICS. vol. 101 (1-2), 145-159.
01-10-2000
The Nose-Hoover thermostated Lorentz gasRateitschak K, Klages R and Hoover WG
JOURNAL OF STATISTICAL PHYSICS. vol. 101 (1-2), 61-77.
01-10-2000
Thermostating by Deterministic Scattering: Construction of Nonequilibrium Steady StatesKlages R, Rateitschak K and Nicolis G
Physical Review Letters, American Physical Society (Aps) vol. 84 (19), 4268-4271.
08-05-2000
Thermostating by deterministic scattering: the periodic Lorentz gasRateitschak K, KLAGES RG and Nicolis G
J. Stat. Phys. vol. 99, 1339-1364.
01-01-2000
The Nosé-Hoover thermostated Lorentz gasRateitschak K, KLAGES RG and Hoover WG
J. Stat. Phys. vol. 101, 61-77.
01-01-2000
Thermostating by deterministic scattering: Construction of Nonequilibrium Steady StatesKLAGES RG, Rateitschak K and Nicolis G
Phys. Rev. Lett. vol. 84, 4268-4271.
01-01-2000
Density-dependent diffusion in the periodic Lorentz gasKLAGES RG and Dellago C
J. Stat. Phys. vol. 101, 145-159.
01-01-2000
1999
Thermostating by deterministic scattering: heat and shear flowWagner C, KLAGES RG and Nicolis G
Phys. Rev. E vol. 60, 1401-1411.
01-01-1999
Simple deterministic dynamical systems with fractal diffusion coefficientsKLAGES RG and Dorfman JR
Phys. Rev. E vol. 59, 5361-5383.
01-01-1999
1998
Chaotic and fractal properties of deterministic diffusion-reaction processesGaspard P and KLAGES RG
Chaos vol. 8, 409-423.
01-01-1998
1997
Dynamical crossover in deterministic diffusionKLAGES RG and Dorfman JR
Phys. Rev. E vol. 55, R1247-R1250.
01-01-1997
1996
Backscattering-Induced Crossover in Deterministic DiffusionKlages R and Dorfman JR
Published to Arxiv.Org
07-07-1996
1995
Simple maps with fractal diffusion coefficientsKLAGES RG and Dorfman JR
Phys. Rev. Lett. vol. 74, 387-390.
01-01-1995
Grants
Grants of specific relevance to the Centre for Complex SystemsNICOP - Advanced Search Strategies in Anomalous Dynamics: Models, Methods, ApplicationsRainer Klages
£90,052 ONR the Office of Naval Research
29-09-2017 - 28-09-2019