Publications: Dr Rainer Klages

Klages R ( 2025 ) . Bewegung aus Unordnung . Physik Journal vol. 24 , ( 3 ) 22 - 23 .

Nava-Sede˜no JM, Hatzikirou H, Klages R, Sevilla FJ, Deutsch A ( 2025 ) . Individual particle persistence antagonizes global ordering in populations of nematically-aligning self-propelled particles . Physical review E: Statistical, nonlinear, biological, and soft matter physics

Brevitt S, Schulz A, Pegler D, Kantz H, Klages R ( 2025 ) . Singularity of Lévy walks in the lifted Pomeau–Manneville map . Chaos An Interdisciplinary Journal of Nonlinear Science vol. 35 , ( 1 )

Toivonen E, Kaipainen J, Molkkari M, Keski-Rahkonen J, Klages R, Räsänen E ( 2025 ) . Anomalous diffusion in the square soft Lorentz gas . Physical review E: Statistical, nonlinear, biological, and soft matter physics vol. 111 , 014216 - 1 .

Klages R ( 2024 ) . Toward a Second Law for Living Systems . Physics vol. 17 , ( 182 ) 1 - 3 .

Brevitt S, Klages R ( 2024 ) . Generalised Lyapunov stretching in a weakly chaotic open dynamical system . Journal of Physics Conference Series . vol. 2839 , 012013 - 012013 .

Watkins N, Calel R, Chapman S, Chechkin A, Klages R, Stainforth D ( 2024 ) . The Challenge of Non-Markovian Energy Balance Models in Climate . Chaos: An Interdisciplinary Journal of Nonlinear Science vol. 34 , 072105 - 072105 .

Klages R ( 2024 ) . Cell migration: Beyond Brownian motion . Biophysical Journal vol. 123 , 1167 - 1169 .

Klages R, Yan J, Beck C, Majumdar M, Ruffo S, Sato Y ( 2024 ) . Transition to anomalous dynamics in a simple random map . Chaos: An Interdisciplinary Journal of Nonlinear Science

Watkins NW, Calel R, Chapman S, Chechkin A, Ford I, Klages R, Stainforth D . Progess in non-Markovian (and Fractional) StochasticClimate Modelling: A GLE-based perspective .

Klages R ( 2023 ) . Search for Food of Birds, Fish, and Insects . Diffusive Spreading in Nature, Technology and Society , Springer Nature

Khadem M, Klages R, Klapp S ( 2022 ) . Stochastic thermodynamics of fractional Brownian motion . Physical Review Research

Giona M, Cairoli A, 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 .

Dieterich P, Lindemann O, Moskopp ML, Tauzin S, Huttenlocher A, Klages R, Chechkin A, Schwab A ( 2022 ) . Anomalous diffusion and asymmetric tempering memory in neutrophil chemotaxis . PLoS Computational Biology vol. 18 , ( 5 ) e1010089 - e1010089 .

Giona M, Cairoli A, 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 .

Watkins NW, Calel R, Chapman S, Chechkin A, Ford I, Klages R, Stainforth D . Beyond Hasselmann and Leith: The challenge of non-Markovian and fractional stochastic climate modelling .

Giona M, Cairoli A, Cocco D, Klages R ( 2022 ) . Spectral Properties of Stochastic Processes Possessing Finite Propagation Velocity . Entropy: international and interdisciplinary journal of entropy and information studies vol. 24 , ( 2 ) 201 - 201 .

Watkins NW, Chapman SC, Chechkin A, Ford I, Klages R, Stainforth DA ( 2021 ) . On Generalized Langevin Dynamics and the Modelling of Global Mean Temperature . Unifying Themes in Complex Systems X , Springer Nature

Khadem SMJ, Klapp SHL, Klages R ( 2021 ) . Search efficiency of discrete fractional Brownian motion in a random distribution of targets . Physical Review Research vol. 3 , ( 2 ) Article 023169 ,

Watkins NW, Chapman SC, Chechkin A, Ford I, Klages R, Stainforth D . On Generalized Langevin Dynamics and the Modelling of Global Mean Temperature .

Palyulin VV, Blackburn G, Lomholt MA, Watkins NW, Metzler R, Klages R, Chechkin AV ( 2019 ) . First passage and first hitting times of Lévy flights and Lévy walks . New Journal of Physics vol. 21 , ( 10 ) 103028 - 103028 .

Giona M, D’Ovidio M, Cocco D, Cairoli A, Klages R ( 2019 ) . Age representation of Lévy walks: partial density waves, relaxation and first passage time statistics . Journal of Physics A: Mathematical and Theoretical vol. 52 , ( 38 ) 384001 - 384001 .

GIL GALLEGOS S, Klages R, Räsänen E, Solanpää J ( 2019 ) . Energy-dependent diffusion in a soft periodic Lorentz gas . European Physical Journal - Special Topics vol. 228 , 143 - 160 .

Sato Y, Klages R ( 2019 ) . Anomalous Diffusion in Random Dynamical Systems . Physical Review Letters vol. 122 , ( 17 ) Article 174101 , 1 - 6 .

KLAGES RG, Gallegos SSG, Solanpaa J, Rasanen E ( 2019 ) . Normal and anomalous diffusion in soft Lorentz gases . Physical Review Letters vol. 122 , 064102 - 064102 .

CAIROLI A, KLAGES R, BAULE A ( 2018 ) . Weak Galilean invariance as a selection principle for coarse-grained diffusive models . Proceedings of the National Academy of Sciences

KLAGES R ( 2018 ) . Search for food of birds, fish and insects . Diffusive Spreading in Nature, Technology and Society , Editors: Bunde, A , Springer

KLAGES RG, Nava-Sedeno JM, Hatzikirou H, Deutsch A ( 2017 ) . Cellular automaton models for time-correlated random walks: derivation and analysis . Scientific Reports vol. 7 , Article 16952 ,

Palyulin VV, Mantsevich VN, KLAGES RG, Metzler R, Chechkin AV ( 2017 ) . Comparison of pure and combined search strategies for single and multiple targets . European Physical Journal B: Condensed Matter and Complex Systems

Dieterich P, Lindemann O, Moskopp ML, Tauzin S, Huttenlocher A, Klages R, Chechkin A, Schwab A ( 2017 ) . Asymmetric anomalous diffusion of chemotacting neutrophils . ACTA PHYSIOLOGICA . vol. 219 , 68 - 68 .

Klages R ( 2016 ) . Chaos in Statistical Physics . Dynamical and Complex Systems , World Scientific Publishing

Palyulin VV, KLAGES RG, Chechkin AV, 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 vol. 49 , ( 39 ) 394002 - 394002 .

Taylor-King JP, KLAGES R, Van Gorder RA, 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 .

KLAGES RG ( 2015 ) . Extrem gesucht . Physik Journal vol. 14 , ( 12 ) 22 - 23 .

Gil S, Solanpää J, Hämälainen T, Räsänen E, Klages R ( 2015 ) . Chaotic diffusion in periodic lattices with repulsive potentials . Diffusion Fundamentals vol. 24 ,

Salari L, Rondoni L, Giberti C, Klages R ( 2015 ) . A simple non-chaotic map generating subdiffusive, diffusive and superdiffusive dynamics . Chaos vol. 25 , Article 073113 ,

Dieterich P, Klages R, Chechkin AV ( 2015 ) . Fluctuation relations for anomalous dynamics generated by time-fractional Fokker–Planck equations . New Journal of Physics vol. 17 , ( 7 )

Rodrigues CS, Chechkin AV, de Moura APS, Grebogi C, Klages R ( 2014 ) . Diffusion in randomly perturbed dissipative dynamics . EPL (Europhysics Letters) vol. 108 , ( 4 )

Klages R ( 2013 ) . Nonequilibrium Statistical Physics of Small Systems - Fluctuation Relations and Beyond . Editors: Klages, R, Just, W, Jarzynski, C , Wiley-VCH Verlag

KLAGES RG, Wolfram J, Jarzynski C, Schuster HG ( 2013 ) . Anomalous fluctuation relations . Nonequilibrium Statistical Physics of Small Systems: Fluctuation Relations and Beyond , Editors: Schuster, HG , vol. 6 , Wiley-VCH

Lenz F, Chechkin AV, Klages R ( 2013 ) . Constructing a stochastic model of bumblebee flights from experimental data . PLoS One vol. 8 , ( 3 ) e59036 - e59043 .

KLAGES RG ( 2013 ) . Weak chaos, infinite ergodic theory, and anomalous dynamics . From Hamiltonian Chaos to Complex Systems , Editors: Leoncini, X, Leonetti, M , vol. 5 , Springer

Chechkin AV, Lenz F, Klages R ( 2012 ) . Normal and anomalous fluctuation relations for Gaussian stochastic dynamics . JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT vol. 2012 , Article ARTN L11001 ,

Knight G, Georgiou O, Dettmann CP, Klages R ( 2012 ) . Dependence of chaotic diffusion on the size and position of holes . Chaos vol. 22 , ( 2 ) 023132 - 123144 .

Lenz F, Ings TC, Chittka L, Chechkin AV, Klages R ( 2012 ) . Spatiotemporal Dynamics of Bumblebees Foraging under Predation Risk . PHYSICAL REVIEW LETTERS vol. 108 , ( 9 ) Article ARTN 098103 , 098103 - 098108 .

Waldner F, Klages R ( 2012 ) . Symmetric Jacobian for local Lyapunov exponents and Lyapunov stability analysis revisited . CHAOS SOLITONS & FRACTALS vol. 45 , ( 3 ) 325 - 340 .

Klages R, Knight G ( 2011 ) . Reply to the comment of T.Gilbert and D.P.Sanders on "Capturing correlations in chaotic diffusion by approximation methods" .

Knight G, Klages R ( 2011 ) . Capturing correlations in chaotic diffusion by approximation methods . PHYS REV E vol. 84 , ( 4 ) Article 041135 , 041135 - 041146 .

Colangeli M, Klages R, De Gregorio P, Rondoni L ( 2011 ) . Steady state fluctuation relations and time reversibility for non-smooth chaotic maps . J STAT MECH-THEORY E vol. 2011 , Article P04021 , p04021 - p04044 .

KLAGES RG ( 2011 ) . Chaos -- The Science of Predictable Random Motion . Physik Journal vol. 10 , 48 - 48 .

Knight G, Klages R ( 2011 ) . Linear and fractal diffusion coefficients in a family of one-dimensional chaotic maps . NONLINEARITY vol. 24 , ( 1 ) 227 - 241 .

Klages R ( 2010 ) . From Deterministic Chaos to Anomalous Diffusion . Reviews of Nonlinear Dynamics and Complexity , Wiley

Klages R, Radons G, Sokolov IM ( 2010 ) . Anomalous Transport: Experimental Results and Theoretical Challenges . Physik Journal vol. 5 , ( 10 ) 63 - 63 .

KLAGES RG ( 2010 ) . From deterministic chaos to anomalous diffusion . Reviews of nonlinear dynamics and complexity , vol. 3 , Wiley-VCH

Chechkin AV, Klages R ( 2009 ) . Fluctuation relations for anomalous dynamics . J STAT MECH-THEORY E vol. 2009 , Article L03002 , L03002 - L03014 .

Klages R, Radons G, Sokolov IM ( 2008 ) . Preface .

Keller G, Howard PJ, Klages R ( 2008 ) . Continuity properties of transport coefficients in simple maps . NONLINEARITY vol. 21 , ( 8 ) 1719 - 1743 .

Dieterich P, Klages R, Preuss R, Schwab A ( 2008 ) . Anomalous dynamics of cell migration . Proc Natl Acad Sci U S A vol. 105 , ( 2 ) 459 - 463 .

Klages R ( 2008 ) . Anomalous transport - Foundations and Applications . Editors: Klages, R, Radons, G, Sokolov, IM , Wiley VCH

Klages R ( 2007 ) . Chaos: A Very Short Introduction . Journal of Physics A: Mathematical and Theoretical vol. 40 , ( 29 )

Korabel N, Klages R, Chechkin AV, Sokolov IM, Gonchar VY ( 2007 ) . Fractal properties of anomalous diffusion in intermittent maps . Phys Rev E Stat Nonlin Soft Matter Phys vol. 75 , ( 3 Pt 2 )

KLAGES RG ( 2007 ) . Chaos -- A very short introduction . Physik Journal vol. 6 , 72 - 72 .

KLAGES RG ( 2007 ) . Microscopic Chaos, Fractals and Transport in Nonequilibrium Statistical Mechanics . Advanced Series in Nonlinear Dynamics (World Scientific) ( Singapore ),

Klages R ( 2005 ) . Deterministic chaos and diffusion . Diffusion Fundamentals vol. 2 ,

Korabel N, Chechkin AV, Klages R, Sokolov IM, Gonchar VY ( 2005 ) . Understanding anomalous transport in intermittent maps: From continuous-time random walks to fractals . EUROPHYS LETT vol. 70 , ( 1 ) 63 - 69 .

KLAGES RG, Schwab A, Stock C, Dreval V, Preuss R, Dieterich P ( 2005 ) . Brownian motion of migrating cells?, in: E.Schoell, K.Luedge (Eds.), XXV . Conference: Dynamics Days Europe 2005: Book of Abstracts. Europhysics Conference

KLAGES RG ( 2005 ) . Deterministic chaos and diffusion: from theory to experiment . Conference: Diffusion Fundamentals, Leipziger Universitaetsverlag, Leipzig

Klages R, Barna IF, 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 .

Korabel N, Klages R ( 2004 ) . Deterministic diffusion in smooth nonlinear maps . Editors: Klonowski, W , vol. 3 ,

Korabel N, Klages R ( 2004 ) . Fractality of deterministic diffusion in the nonhyperbolic climbing sine map . Physica D-Nonlinear Phenomena vol. 187 , ( 1-4 ) 66 - 88 .

Matyas L, Klages R ( 2004 ) . Irregular diffusion in the bouncing ball billiard . PHYSICA D-NONLINEAR PHENOMENA vol. 187 , ( 1-4 ) 165 - 183 .

Klages R, van Beijeren H, Gaspard P, Dorfman JR ( 2004 ) . Microscopic chaos and transport in many-particle systems - Preface . PHYSICA D vol. 187 , ( 1-4 ) 1 - 2 .

KLAGES RG, Gaspard P, van Beijeren H, Dorfman JR ( 2004 ) . Special issue on Microscopic Chaos and Transport in Many-Particle Systems . North-Holland, Amsterdam

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)

Klages R, Klauss T ( 2003 ) . Fractal fractal dimensions of deterministic transport coefficients . J PHYS A-MATH GEN vol. 36 , ( 21 ) 5747 - 5764 .

KLAGES RG, Korabel N ( 2003 ) . Fractality of deterministic diffusion in nonhyperbolic maps . Conference: Dresden Technical University, Dresden, Germany Verhandl. DPG (VI) 38

KLAGES RG ( 2003 ) . Irregular diffusion in the bouncing ball billiard . Conference: Dresden Technical University, Dresden, Germany Verhandl. DPG (VI) 38

KLAGES RG ( 2003 ) . Transitions from deterministic to stochastic diffusion . Conference: Dresden Technical University, Dresden, Germany Verhandl. DPG (VI) 38

Korabel N, Klages R ( 2002 ) . Fractal structures of normal and anomalous diffusion in nonlinear nonhyperbolic dynamical systems . PHYS REV LETT vol. 89 , ( 21 ) Article 214102 ,

Groeneveld J, 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 .

Harayama T, Klages R, Gaspard P ( 2002 ) . Deterministic diffusion in flower-shaped billiards . PHYS REV E vol. 66 , ( 2 ) Article 026211 ,

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 ) Article 018201 ,

Klages R, Korabel N ( 2002 ) . Understanding deterministic diffusion by correlated random walks . J PHYS A-MATH GEN vol. 35 , ( 23 ) 4823 - 4836 .

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 )

Rateitschak K, Klages R ( 2002 ) . Lyapunov instability for a periodic Lorentz gas thermostated by deterministic scattering . PHYS REV E vol. 65 , ( 3 ) Article 036209 ,

Klages R ( 2002 ) . Transitions from deterministic to stochastic diffusion . EUROPHYS LETT . vol. 57 , 796 - 802 .

Korabel N, Klages R ( 2002 ) . Fractal Structures of Normal and Anomalous Diffusion in Nonlinear Nonhyperbolic Dynamical Systems . Physical Review Letters vol. 89 , ( 21 )

KLAGES RG ( 2002 ) . Suppression and enhancement of deterministic diffusion in disordered dynamical systems . Phys. Rev. E vol. 65 , 1 - 4 .

KLAGES RG, Klages R ( 2002 ) . Transitions from deterministic to stochastic diffusion . Europhys. Lett. vol. 57 , 796 - 802 .

Klages R, Korabel N ( 2002 ) . Understanding deterministic diffusion by correlated random walks . J. Phys. A: Math. Gen. vol. 35 , 4823 - 4836 .

KLAGES RG ( 2001 ) . Zufallsbewegung und deterministische Diffusion im periodischen Lorentzgas . Conference: University of Hamburg, Hamburg, Germany Verhandl. DPG (VI) 38

Klages R, Dellago C ( 2000 ) . Density-dependent diffusion in the periodic Lorentz gas . JOURNAL OF STATISTICAL PHYSICS . vol. 101 , 145 - 159 .

Rateitschak K, Klages R, Hoover WG ( 2000 ) . The Nose-Hoover thermostated Lorentz gas . JOURNAL OF STATISTICAL PHYSICS . vol. 101 , 61 - 77 .

Klages R, Rateitschak K, Nicolis G ( 2000 ) . Thermostating by Deterministic Scattering: Construction of Nonequilibrium Steady States . Physical Review Letters vol. 84 , ( 19 ) 4268 - 4271 .

KLAGES RG, Dellago C ( 2000 ) . Density-dependent diffusion in the periodic Lorentz gas . J. Stat. Phys. vol. 101 , 145 - 159 .

Rateitschak K, KLAGES RG, Hoover WG ( 2000 ) . The Nosé-Hoover thermostated Lorentz gas . J. Stat. Phys. vol. 101 , 61 - 77 .

KLAGES RG, Rateitschak K, Nicolis G ( 2000 ) . Thermostating by deterministic scattering: Construction of Nonequilibrium Steady States . Phys. Rev. Lett. vol. 84 , 4268 - 4271 .

Rateitschak K, KLAGES RG, Nicolis G ( 2000 ) . Thermostating by deterministic scattering: the periodic Lorentz gas . J. Stat. Phys. vol. 99 , 1339 - 1364 .

KLAGES RG, Dorfman JR ( 1999 ) . Simple deterministic dynamical systems with fractal diffusion coefficients . Phys. Rev. E vol. 59 , 5361 - 5383 .

Wagner C, KLAGES RG, Nicolis G ( 1999 ) . Thermostating by deterministic scattering: heat and shear flow . Phys. Rev. E vol. 60 , 1401 - 1411 .

Gaspard P, KLAGES RG ( 1998 ) . Chaotic and fractal properties of deterministic diffusion-reaction processes . Chaos vol. 8 , 409 - 423 .

KLAGES RG, Dorfman JR ( 1997 ) . Dynamical crossover in deterministic diffusion . Phys. Rev. E vol. 55 , R1247 - R1250 .

Klages R, Dorfman JR ( 1996 ) . Backscattering-Induced Crossover in Deterministic Diffusion . Published to ArXiv.org

KLAGES R ( 1996 ) . Deterministic Diffusion in One-Dimensional Chaotic Dynamical Systems . Wissenschaft und Technik Verlag, Berlin

KLAGES RG, Dorfman JR ( 1995 ) . Simple maps with fractal diffusion coefficients . Phys. Rev. Lett. vol. 74 , 387 - 390 .