Books, Reviews
 
  •  R.Klages, Microscopic Chaos, Fractals, and Transport in Nonequilibrium Statistical Mechanics, accepted for publication as a book in the Advanced Series in Nonlinear Dynamics (World Scientific), to be published 2005/2006.
    • [preprint]
     
  • R.Klages, The Thermostated Dynamical Systems Approach to Nonequilibrium Steady States: Foundations, Problems, Perspectives, review, updated version to be submitted
    • [preprint]
     
  • R.Klages, H. van Beijeren, P. Gaspard, J.R. Dorfman, Microscopic Chaos and Transport in Many-Particle Systems, Special Issue of Physica D Volume 187, 396 pages (2004) as proceedings of the CHAOTRAN conference
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  • R.Klages, Deterministic Diffusion in One-Dimensional Chaotic Dynamical Systems, Ph.D. thesis published as a book in: Wissenschaft und Technik Verlag, Berlin, 127 pages (1996); ISBN 3-928943-49-9

    • Articles in Systematical Order      

    (i) Deterministic transport coefficients

    diffusion:

  • R.Klages, J.R.Dorfman, Simple maps with fractal diffusion coefficients, Phys. Rev. Lett. 74, 387-390 (1995)
    • [preprint as ps-file  | article as ps-file  | article as pdf-file ]
     
  • R.Klages, J.R.Dorfman, Simple deterministic dynamical systems with fractal diffusion coefficients, Phys. Rev. E 59, 5361-5383 (1999)
    • [preprint as ps-file  | article as ps-file  | article as pdf-file ]
     
  • R.Klages, J.R.Dorfman, Dynamical crossover in deterministic diffusion, Phys. Rev. E 55, R1247-R1250 (1997)
    • [preprint as ps-file  | article as ps-file  | article as pdf-file ]
     
  • R.Klages, Comment on ``Analysis of chaotic motion and its shape dependence in a generalized piecewise linear map, Phys. Rev. E 66, 018201-1--3 (2002)
    • [preprint as ps-file | article as ps-file  | article as pdf-file ]

    conduction:

  • J.Groeneveld, R.Klages, Negative and nonlinear response in an exactly solved dynamical model of particle transport, J. Stat. Phys. 109, 821-861 (2002) (special issue)
    • [preprint as ps-file  | article as ps-file  | article as pdf-file ]

    reaction-diffusion:

  • P.Gaspard, R.Klages, Chaotic and fractal properties of deterministic diffusion-reaction processes, Chaos 8, 409-423 (1998) (focus issue)
    • [preprint as ps-file  | article as ps-file  | article as pdf-file ]

    dimensional analysis of fractal transport coefficients:

  • R.Klages, T.Klauss, Fractal fractal dimensions of deterministic transport coefficients, J.Phys.A: Math. Gen. 36, 5747-5764 (2003)
    • [ preprint as ps-file  | article as ps-file  | article as pdf-file ]

    anomalous diffusion:

  • N.Korabel, R.Klages, Fractal structures of normal and anomalous diffusion in nonlinear nonhyperbolic dynamical systems, Phys. Rev. Lett. 89, 214102-1--4 (2002)
    • [preprint as ps-file | article as ps-file  | article as pdf-file ]
     
  • N.Korabel, R.Klages, Fractality of deterministic diffusion in the nonhyperbolic climbing sine map, CHAOTRAN proceedings in Physica D 187, 66--88 (2004) (special issue)
    • [preprint as ps-file | link to article (requires subscription) ]
     
  • N. Korabel, A.V. Chechkin, R. Klages, I.M. Sokolov, V.Yu. Gonchar, Understanding Anomalous Transport in Intermittent Maps: From Continuous Time Random Walks to Fractals, Europhys. Lett. 70, 63--69 (2005)
    • [preprint as ps-file | article as ps-file  | article as pdf-file ]  

    randomly perturbed dynamical systems:

  • R.Klages, Suppression and enhancement of deterministic diffusion in disordered dynamical systems, Phys. Rev. E 65, 055203(R)-1--4 (2002)
    • [preprint as ps-file | article as ps-file  | article as pdf-file ]
     
  • R.Klages, Transitions from deterministic to stochastic diffusion, Europhys. Lett. 57, 796-802 (2002)
    • [preprint as ps-file | article as ps-file  | article as pdf-file ]

    diffusion in Hamiltonian particle billiards:

  • R.Klages, Chr.Dellago, Density-dependent diffusion in the periodic Lorentz gas, J. Stat. Phys. 101, 145-159 (2000) (special issue)
    • [preprint as ps-file  |  article as ps-file  | article as pdf-file ]
     
  • R.Klages, N.Korabel, Understanding deterministic diffusion by correlated random walks, J.Phys.A: Math. Gen. 35, 4823-4836 (2002) (IoP featured article)
    • [preprint as ps-file | article as ps-file  | article as pdf-file ]
     
  • T.Harayama, R.Klages, P.Gaspard, Deterministic diffusion in flower-shaped billiards,Phys. Rev. E 66, 026211-1--7 (2002)
    • [preprint as ps-file | article as ps-file  | article as pdf-file ]

    diffusion in granular systems:

  • L.Matyas, R.Klages, Irregular diffusion in the bouncing ball billiard, CHAOTRAN proceedings in Physica D 187, 165--183 (2004) (special issue)
    • [preprint as ps-file | link to article (requires subscription) ]
     
  • R.Klages, I.F.Barna, L.Matyas, Spiral modes in the diffusion of a single granular particle on a vibrating surface, Phys. Lett. A 333, 79--84 (2004)
    • [preprint as ps-file | article as ps-file  | article as pdf-file ]


    (ii) Modeling of thermal reservoirs

    basic method:

  • R.Klages, K.Rateitschak, G.Nicolis, Thermostating by deterministic scattering: Construction of Nonequilibrium Steady States, Phys. Rev. Lett. 84, 4268-4271 (2000)
    • [preprint as ps-file  | article as ps-file  | article as pdf-file ]

    hard disk gas:

  • C.Wagner, R.Klages, G.Nicolis, Thermostating by deterministic scattering: heat and shear flow, Phys. Rev. E 60, 1401-1411 (1999)
    • [preprint as ps-file  | article as ps-file  | article as pdf-file ]

    Lorentz gas:

  • K.Rateitschak, R.Klages, G.Nicolis, Thermostating by deterministic scattering: the periodic Lorentz gas, J. Stat. Phys. 99, 1339-1364 (2000)
    • [preprint as ps-file  | article as ps-file  | article as pdf-file ]
     
  • K.Rateitschak, R.Klages, W.G.Hoover, The Nosé-Hoover thermostated Lorentz gas, J. Stat. Phys. 101, 61-77 (2000) (special issue)
    • [preprint as ps-file  | article as ps-file  |article as pdf-file ]
     
  • K.Rateitschak, R.Klages, Lyapunov instability for a periodic Lorentz gas thermostated by deterministic scattering, Phys. Rev. E 65, 036209-1--11 (2002)
    • [preprint as ps-file  | article as ps-file  | article as pdf-file ]


    (iii) Biological cell motility

  • P.Dieterich, R.Preuss, R.Klages, V.Dreval, C.Stock, A.Schwab, Dynamics of cell migration: Analysis on different time scales


    • (iv) Proceedings, preprints, others

  • N.Korabel, R.Klages, Deterministic diffusion in smooth nonlinear maps, in: Proceedings of EUROATTRACTOR 2002 - Frontiers on Nonlinear Dynamics, Vol. 3: W. Klonowski (Ed.), Simplicity behind Complexity; Pabst Science Publishers, Lengerich, Berlin (2003)
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  • 12 Contributions to the Proceedings of the German Physical Society
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  • Collection of preprints on the xxx-archives
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  • Ph.D. thesis of my former Ph.D. student Nickolay Korabel.
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