Preprints and Publications 2001-2023 --- Christian Beck

Publications and preprints 2023

  • Philipp C. Boettcher, Leonardo Rydin Gorjao, Christian Beck, Richard Jumar, Heiko Maass, Veit Hagenmeyer, Dirk Witthaut, Benjamin Schaefer, Initial analysis of the Ukrainian power grid synchronization with continental Europe, Energy Advances 2, 91 (2023)

  • Jin Yan, Moitrish Majumdar, Stefano Ruffo, Yuzuru Sato, Christian Beck, Rainer Klages, Transition to anomalous dynamics in a simple random map, arXiv:2308.09269

    Publications 2022

  • Jin Yan and Christian Beck, Information shift dynamics described by Tsallis q=3 entropy on a compact phase space, Entropy 24, 1671 (2022)

  • Christian Beck and Felicia Barbato, Physics for secure and efficient societies, Europhysics News 53/5, p.36 (2022)

  • J. Aswin Giri, Benjamin Schaefer, Rulan Verma, Hankun He, S.M. Shiva Nagendra, Mukesh Khare, Christian Beck, Lockdown effects on air quality in megacities during the first and second waves of Covid-19 pandemic, J. Inst. Eng. India Ser. A, 24 Nov (2022)

  • Mehrnaz Anvari, Elisavet Proedrou, Benjamin Schaefer, Christian Beck, Holger Kantz, Marc Timme, Data-driven load profiles and the dynamics of residential electric power consumption, Nature Commun 13, 4593 (2022)

  • Benjamin Schaefer, Christian Beck, Hefin Rhys, Helena Soteriou, Paul Jennings, Allen Beechey, Catherine M. Heppell, Machine learning approach towards explaining water quality dynamics in an urbanized river, Scientific Reports 12, 12346 (2022)

  • Hankun He, Benjamin Schaefer, Christian Beck, Spatial heterogeneity of air pollution statistics in Europe, Scientific Reports 12, 12215 (2022)

  • Christian Beck, Complex Systems: The amazing cross-disciplinary journey of statistical physics, Europhysics News 53/1, p.10 (2022)

  • Chengyuan Han, Hannes Hilger, Eva Mix, Philipp C. Böttcher, Mark Reyers, Christian Beck, Dirk Witthaut, Leonardo Rydin Gorjao, Complexity and persistence of price time series of the European Electricity Spot Market, Phys. Rev. X Energy 1, 013002 (2022)

  • Leonardo Rydin Gorjao, Luigi Vanfretti, Dirk Witthaut, Christian Beck, Benjamin Schaefer, Phase and amplitude synchronisation in power-grid frequency fluctuations in the Nordic Grid, IEEE Access 10, 18065 (2022)

    Publications 2021

  • Benjamin Schaefer, Catherine M. Heppell, Hefin Rhys, Christian Beck, Monitoring water quality: A citizen science success story, iScience 24, 103267 (2021)

  • Yuchi Itto and Christian Beck, Weak correlation between fluctuations in protein diffusion inside bacteria, J. Phys. Conf. Ser. 2090, 012168 (2021)

  • Leonardo Rydin Gorjao, Benjamin Schaefer, Dirk Witthaut, Christian Beck, Spatio-temporal complexity of power grid frequency fluctuations, New J. Physics 23, 073016 (2021)

  • Benjamin Schaefer, Catherine M. Heppell, Hefin Rhys, Christian Beck, Fluctuations of water quality time series in rivers follow superstatistics, iScience 24(8), 102881 (2021)

  • Evangelos Mitsokapas, Benjamin Schaefer, Rosemary Harris, Christian Beck, Statistical Characterization of Airplane Delays, Scientific Reports 11, 7855 (2021)

  • Yuichi Itto and Christian Beck, Superstatistical modelling of protein diffusion dynamics in bacteria, J. Royal Society Interface 18, 20200927 (2021)

    Publications 2020

  • Jin Yan and Christian Beck, Distinguished correlation properties of Chebyshev dynamical systems and their generalizations, Chaos Solitons and Fractals X 005, 100035 (2020)

  • Leonardo Rydin Gorjao, Richard Jumar, Heiko Maass, Veit Hagenmeyer, G. Cigdem Yalcin, Johannes Kruse, Marc Timme, Christian Beck, Dirk Witthaut, Benjamin Schaefer, Open data base analysis of scaling and spatio-temporal properties of power grid frequencies, Nature Commun. 11, 6362(2020)

  • Christian Beck, Kees van der Beek, and Felix Ritort (eds.), The Physics of Living Matter, Europhysics News 51/5, Nov 2020

  • M. Smolla, B. Schaefer, H. Lesch, C. Beck, Universal properties of primary and secondary cosmic ray energy spectra, New J. Phys. 22, 093002 (2020)

  • G.N. Williams, B. Schaefer, C. Beck, Superstatisical approach to air pollution statistics, Phys. Rev. Res. 2, 013019 (2020)

  • L. Rydin Gorjao, M. Anvari, H. Kantz, C. Beck, D. Witthaut, M. Timme, B. Schaefer, Data-driven model of the power-grid frequency dynamics, IEEE Access 8, 43082 (2020)

  • I. Iacopini, B. Schaefer, E. Arcaute, C. Beck, V. Latora, Multi-layer modelling of adoption dynamics in energy demand management, Chaos 30, 013153 (2020)

  • J. Yan, C. Beck, Nonlinear Dynamics of Coupled Axion-Josephson Junction Systems, Physica D 403, 132294 (2020)

  • C. Beck, G. Benedek, G. Livadiotis, A. Rapisarda, U. Tirnakli, C. Tsallis (eds), Nonextensive statistical mechanics, superstatistics and beyond: Theory and applications in astrophysical and other complex systems, Eur. Phys. J. Special Topics 229, 707 (2020)

    Publications 2019

  • C. Beck, EPS Statistical and Nonlinear Physics Prize 2019 awarded to Sergio Ciliberto and Satya Majumdar, Europhysics News 50/4, p. 7-8 (2019)

  • R. Martyr, B. Schaefer, C. Beck, and V. Latora, Benchmarking the performance of controllers for power grid transient stability, Sust. Energy Grids Networks 18, 100215 (2019)

  • R. Martyr, J. Moriarty, and C. Beck, Optimal control of a commercial building's thermostatic load for off-peak demand response, J. Build. Perform. Sim. 12, 580-594 (2019)

  • J. Weber, M. Reyers, C. Beck, M. Timme, J.G. Pinto, D. Witthaut, B. Schaefer, Wind power persistence is governed by superstatistics, Sci. Rep. 9, 19971 (2019)

    Publications 2018

  • G. Williams and C. Beck, Stochastic differential equations driven by deterministic chaotic maps: Analytic solutions of the Perron-Frobenius equation, Nonlinearity 31, 3484 (2018)

  • B. Schaefer, C. Beck, K. Aihara, D. Witthaut, and M. Timme, Non-Gaussian power grid frequency fluctuations characterized by Levy-stable laws and superstatistics, Nature Energy 3, 119-126 (2018)

  • P. Jizba, J. Korbel, H. Lavicka, M. Proks, V. Svoboda, and C. Beck, Transitions between superstatistical regimes: Validity, breakdown and applications, Physica A 493, 29 (2018)

  • G.C. Yalcin and C. Beck, Generalized statistical mechanics of cosmic rays: Application to positron-electron spectral indices, Scientific Reports 8, 1764 (2018)

    Publications 2017

  • C. Beck, Possible resonance effect of dark matter axions in SNS Josephson junctions, Proc. of Science (EPS-HEP2017)058 (2017) [arXiv:1710.04299]

  • D. Xu and C. Beck, Symbolic dynamics techniques for complex systems: Application to share price dynamics, EPL 118, 30001 (2017)

  • C. Beck and E.G.D. Cohen, Superstatistics: Superposition of Maxwell-Boltzmann distributions, in G. Livadiotis (ed.): Kappa Distributions: Theory and Applications (Elsevier 2017)

    Publications 2016

  • C. Beck, Cosmological flux noise and measured noise power spectra in SQUIDs, Scientific Reports 6, 28275 (2016)

  • C. Penrose and C. Beck, Superstatistics of Blaschke products, Dynamical Systems 31, 89-105 (2016)

  • C. Yalcin, P. Rabassa, and C. Beck, Extreme event statistics of daily rainfall: Dynamical systems approach, arXiv:1508.03700, J.Phys.A: Math. Theor. 49, 154001 (2016)

  • Dan Xu, C. Beck, Transitions from lognormal to chi-square superstatistics for financial time series, arXiv:1506.01660, Physica A 453, 173 (2016)

    Publications 2015

  • P. Rabassa, C. Beck, Superstatistical analysis of sealevel fluctuations, Physica A 417, 18 (2015)

  • G. Akram, C. Beck, Hierarchical cascade model leading to 7-th order initial value problem, Appl. Num. Math. 91, 89-97 (2015)

  • C. Beck, Axion mass estimates from resonant Josephson junctions, Physics Dark Universe 7-8, 6-11 (2015)

    Publications 2014

  • S. Miah, C. Beck, Lagrangian quantum turbulence model based on alternating superfluid/normal fluid stochastic dynamics, EPL 108, 40004 (2014)

  • S. Groote, H. Veermae, C. Beck, Renormalization aspects of chaotic strings, J.Phys.: Conf. Ser. 532, 012008 (2014)

  • P. Rabassa, C. Beck, Extreme value laws for superstatistics, Entropy 16, 5523 (2014)

  • H. Karunarathna, J. Brown, R. Briganti, D. Pockrajac, I. Haigh, C. Beck, P. Dissanayake, D. Pedrozo-Acuna, K. Sparrow, M. Wadey, Modelling memory of coastal flood systems, Proc. 34th Conf Coastal Engineering, Seoul (2014)

    Publications 2013

  • Possible resonance effect of axionic dark matter in S/N/S Josephson junctions, Phys. Rev. Lett. 111, 231801 (2013)

  • N coupled non-local harmonic oscillators leading to 2N-th order initial value problem (with G. Akram), arXiv:1302.2482

  • Environmental Superstatistics (with G. Cigdem Yalcin), Physica A 392, 5431 (2013)

  • Fokker-Planck theory of superstatistics (with S. Abe and E.G.D. Cohen),
    PDF file arXiv:1208.1957

  • Renormalization group approach to chaotic strings (with S. Groote and H. Veermae),
    PDF file Chaos Solitons Fractals 53, 18 (2013)

  • Statistics of Lagrangian quantum turbulence (with S. Miah),
    PDF file Phys Rev. E 87, 031002(R) (2013)

    Publications 2012

  • Coupled intermittent maps modelling the statistics of genomic sequences: a network approach (with A. Provata),
    PDF file arXiv:1205.2249, Phys. Rev. E 86, 046101 (2012)

  • Currents in complex polymers: an example of superstatistics for short time series (with C. Yalcin),
    PDF file Phys. Lett. A 376, 2344 (2012)

  • Axion physics in a Josephson junction environment,
    PDF file Physica C 473, 21 (2012)

  • Statistical mechanics of the vacuum,
    PDF file Mod. Phys. Lett. B 26, 1250060 (2012)

  • Publications 2011

  • Skewed superstatistical distributions from a Langevin and Fokker-Planck approach (with E. Van der Straeten),
    PDF file Chin. Science Bull. 56 (No 34), 3633 (2011)

  • Testing axion physics in a Josephson junction environment,
    PDF file Mod. Phys. Lett. A 26, 2841 (2011)

  • Multifractal information production of the human genome (with A. Provata),
    PDF file Europhys. Lett. 95, 58002 (2011)

  • Multifractal analysis of nonhyperbolic coupled map lattices: Application to genomic sequences (with A. Provata),
    PDF file Phys. Rev. E 83, 066210 (2011)

  • Generalized statistical mechanics for superstatistical systems,
    PDF file , Phil. Trans. Royal Soc. 369, 453 (2011)

  • Dynamical modelling of superstatistical complex systems (with E. Van der Straeten),
    PDF file Physica A 390, 951 (2011)

    Publications 2010

  • Discrete symmetries of chaotic strings (with M. Schaefer),
    PDF file ,
    Dynamical Systems 25, 253 (2010)

  • The dark energy scale in superconductors: Innovative theoretical and experimental concepts (with C.J. de Matos),
    PDF file, in `Dark Energy: Theory, Developments and Implications', p. 33-48, ed. K. Lefebvre and R. Garcia (Nova Publishers, New York) (2010)

    Publications 2009

  • Superstatistics in high energy physics: Application to cosmic ray energy spectra and e+e- annihilation,
    PDF file , Eur. Phys. J. A 40, 267 (2009)

  • Generalized information and entropy measures in physics,
    PDF file , Contemp. Phys. 50, 495-510 (2009)

  • Superstatistical fluctuations in time series: Application to share price dynamics and turbulence (with E. Van der Straeten),
    PDF file (arXiv: 0901.2271 []), Phys. Rev. E 80, 036108 (2009)

  • Axiomatic approach to the cosmological constant,
    PDF file , Physica A 388, 3384 (2009)

  • A closer look at time averages of the logistic map at the edge of chaos (with U. Tirnakli and C. Tsallis),
    PDF file , Phys. Rev. E 79, 056209 (2009)

  • Recent developments in superstatistics,
    PDF file ,
    Braz. J. Phys. 39, 357 (2009)

  • Possible measurable effects of dark energy in rotating superconductors (with C.J. de Matos),
    PDF file (arXiv:0707.1797 [gr-qc]), Adv. Astron. 931920 (2009)

  • Comment on `Proposed central limit behavior in deterministic dynamical systems' (with U. Tirnakli and C. Tsallis),
    PDF file (arXiv:0906.1262 [cond-mat.stat-mech])

    Publications 2008

  • Superstatistical distributions from a maximum entropy principle (with E. Van der Straeten),
    PDF file (arXiv: 0806.4332 [cond-mat]), Phys. Rev. E 78, 051101 (2008)

  • Chaotic quantization and the mass spectrum of fermions (with M. Maher),
    PDF file (arXiv: 0801.4720 [hep-th]), Chaos, Solitons and Fractals 37, 9 (2008)

  • A superstatistical model of metastasis and cancer survival (with L. Leon Chen),
    PDF file (arXiv: 0711.4687 []), Physica A 387, 3162 (2008)

  • Superstatistics: Theoretical concepts and physical applications
    PDF file (arXiv:0705.3832 [cond-mat]),
    in R. Klages et al. (eds.): Anomalous transport: Foundations and Applications, p. 433-457 (Wiley-VCH, 2008)

  • Electromagnetic dark energy (with M.C. Mackey)
    PDF file (astro-ph/0703364), Int. J. Mod. Phys. D 17, 71-80 (2008)

  • Complexity of chaotic fields and standard model parameters
    PDF file (hep-th/0702082), in:
    'The logic of nature, complexity and new physics: From quark-gluon plasma to superstrings, quantum gravity and beyond', ed. A. Zichichi, p. 1-37 (World Scientific, 2008)

    Publications 2007

  • Correlations in superstatistical systems,
    PDF file (arXiv: 0709.3938 [cond-mat]) AIP Conf. Proc. 965, 60 (2007)

  • Superstatistics, thermodynamics, and fluctuations (with S. Abe and E.G.D. Cohen)
    PDF file (arXiv:0705.0148 [cond-mat]), Phys. Rev. E 76, 031102 (2007)

  • Central limit behavior of deterministic dynamical systems (with U. Tirnakli and C. Tsallis)
    PDF file (cond-mat/0701622), Phys. Rev. E 75, 040106(R) (2007)

  • Modelling train delays with q-exponential functions (with K. Briggs)
    PDF file (physics/0611097), Physica A 378, 498 (2007)

  • Statistics of 3-dimensional Lagrangian turbulence
    PDF file (cond-mat/0606655), Phys. Rev. Lett. 98, 064502 (2007)

  • Measurability of vacuum fluctuations and dark energy (with M.C. Mackey)
    PDF file (astro-ph/0605418), Physica A 379, 101 (2007)

  • Scaling properties of invariant densities of coupled Tchebyscheff maps (with S. Groote)
    PDF file (nlin.CD/0609052), Dyn. Systems 22, 219-248 (2007)

  • Zeropoint fluctuations and dark energy in Josephson junctions, (with M.C. Mackey)
    PDF file (astro-ph/0603067), Fluctuation and Noise Letters 7, C27 (2007)

    Publications 2006

  • Scaling behaviour of non-hyperbolic coupled map lattices (with S. Groote),
    PDF file (nlin.CD/0603397), Phys. Rev. E 74, 046216 (2006)

  • Nonconcave entropies in multifractals and the thermodynamic formalism (with H. Touchette),
    PDF file (cond-mat/0507379), J. Stat. Phys. 125, 455--471 (2006)

  • Laboratory tests on dark energy,
    PDF file (astro-ph/0512327), J.Phys. Conf. Ser. 31, 123 (2006)

  • Stretched exponentials from superstatistics,
    PDF file (cond-mat/0510841), Physica A 365, 96 (2006)

  • Superstatistical Brownian motion,
    PDF file (cond-mat/0508263), Progr. Theor. Phys. Suppl. 162, 29 (2006)

  • Dark energy, chaotic fields, and fundamental constants,
    PDF file (astro-ph/0502211), in: Frontiers of Fundamental Physics, eds. B.G. Sidharth, F. Honsell and A. de Angelis, p. 137--146, Springer, Berlin (2006)

  • Publications 2005

  • C. Beck, G. Benedek, A. Rapisarda, and C. Tsallis (eds.), Complexity, Metastability, and Nonextensivity,
    World Scientific, Singapore (2005)

  • Atmospheric turbulence and superstatistics (with E.G.D. Cohen and S. Rizzo),
    PDF file available (cond-mat/0508257), Europhysics News 36, 189 (2005)

  • From time series to superstatistics (with E.G.D. Cohen and H.L. Swinney),
    PDF file available (cond-mat/0507411), Phys. Rev. E 72, 056133 (2005)

  • Superstatistical turbulence models,
    PDF file available (physics/0506123), in Proceedings of MPA Garching (2005)

  • Superstatistics: Recent developments and applications,
    PDF file available (cond-mat/0502306), in 'Complexity, Metastability and Nonextensivity',
    eds. C. Beck, G. Benedek, A. Rapisarda, and C. Tsallis, World Scientific (2005)

  • Asymptotics of superstatistics (with Hugo Touchette),
    ps file available (cond-mat/0408091), Phys. Rev. E 71, 016131 (2005)

  • Could dark energy be measured in the lab? (with Michael C. Mackey),
    PDF file available (astro-ph/0406504), Phys. Lett. B 605, 295 (2005)

  • Publications 2004

  • Nonextensive scalar field theories and dark energy models,
    ps file available (cond-mat/0312433), Physica 340A, 459 (2004)

  • Superstatistical generalization of the work fluctuation theorem (with E.G.D. Cohen),
    ps file avaialable (cond-mat/0312399), Physica 344A, 393 (2004)

  • Superstatistics, escort distributions, and applications,
    ps file available (cond-mat/0312134), Physica 342A, 139 (2004)

  • Chaotic scalar fields as models for dark energy,
    pdf file available (astro-ph/0310479), Phys. Rev. 69D , 123515 (2004)

  • Multifractal Analysis, in Encyclopedia of Nonlinear Science, ed. A. Scott, Routledge (2004),
    ps file available

  • String Theory, in Encyclopedia of Nonlinear Science, ed. A. Scott, Routledge (2004),
    ps file available

  • Free Energy, in Encyclopedia of Nonlinear Science , ed. A. Scott, Routledge (2004),
    ps file available

  • Superstatistics: Theory and Applications,
    PDF file available (cond-mat/0303288), Cont. Mech. Thermodyn. 16, 293 (2004)

  • Superstatistics in hydrodynamic turbulence, Physica 193D , 195 (2004),
    ps file available (physics/0303061)

  • Defect turbulence and generalized statistical mechanics (with K.E. Daniels and E. Bodenschatz), Physica 193D, 208 (2004)
    ps file available (cond-mat/0302623)

  • Generalized statistical mechanics of cosmic rays, Physica 331A, 173 (2004)
    ps file available (cond-mat/0301354)

  • Publications 2003

  • Lagrangian acceleration statistics in turbulent flows, Europhys. Lett. 64, 151 (2003),
    ps file available (cond-mat/0212566)

  • Superstatistics (with E.G.D. Cohen), Physica 322A, 267 (2003),
    ps file available (cond-mat/0205097)

  • Beck replies, Phys. Rev. Lett. 90, 218902 (2003)

  • Chaotic quantization and the parameters of the standard model,
    ps file available (hep-th/0305173), Proc. Idea-Finding Symposium Frankfurt, 3 (2003), EP Systema (Debrecen)

  • Publications 2002

  • My new book:
    Spatio-temporal Chaos and Vacuum Fluctuations of Quantized Fields (World Scientific, 2002)

  • Non-extensive statistical mechanics approach to fully developed hydrodynamic turbulence, Chaos, Solitons and Fractals 13 , 499 (2002)
    ps file available

  • Non-additivity of Tsallis entropies and fluctuations of temperature, Europhys. Lett. 57 , 329 (2002)
    ps file available

  • Nonextensive methods in turbulence and particle physics, Physica 305A , 209 (2002)
    ps file available

  • Generalized statistical mechanics and fully developed turbulence, Physica 306A , 189 (2002)
    ps file available (cond-mat/0110071)

  • Chaotic strings and standard model parameters, Physica 171D , 72 (2002)
    ps file available (hep-th/0105152)

  • Publications 2001

  • Measuring non-extensitivity parameters in a turbulent Couette-Taylor flow (with G.S. Lewis and H.L. Swinney), Phys. Rev 63E , 035303(R) (2001)
    ps file available

  • Scaling exponents in fully developed turbulence from nonextensive statistical mechanics, Physica 295A , 195 (2001)
    ps file available

  • Higher-order correlations of Tchebyscheff maps (with A. Hilgers), Physica 156D , 1 (2001)
    ps file available

  • A note on the application of non-extensive statistical mechanics to fully developed turbulence (with B.K. Shivamoggi),
    J. Phys. (Math. and Gen.) 34A , 4003 (2001)

  • On the small-scale statistics of Lagrangian turbulence, Phys. Lett. 287A , 240 (2001)
    ps file available

  • Dynamical foundations of nonextensive statistical mechanics, Phys. Rev. Lett. 87 , 180601 (2001)
    ps file available

  • Dynamical systems with time scale separation: Averaging, stochastic modelling, and Central Limit Theorems,
    Proceedings of `Stochastic Climate models', Birkhaeuser (2001) (with C. Roedenbeck and H. Kantz)
    ps file available

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