Skip to main content
Fachgebiete
Automobil + Motoren Bauwesen + Immobilien Business IT + Informatik Elektrotechnik + Elektronik Energie + Nachhaltigkeit Finance + Banking Management + Führung Marketing + Vertrieb Maschinenbau + Werkstoffe Versicherung + Risiko
DE
EN
Themenseiten
Organisationspsychologie Projektmanagement Marketing Smart Manufacturing
Bücher
Zeitschriften
Weitere Formate
Podcasts Webinare Technik Webinare Wirtschaft Kongresse Veranstaltungskalender Awards
Jetzt Einzelzugang starten
Zugang für Unternehmen
Referenzkunden
MTZ-Fachkongress

Antriebe und Energiesysteme von morgen


Austausch von Automobil- und Energiewirtschaft

Am 14./15. Mai geht es in Chemnitz um die Mobilitätswende durch Elektro- und Wasserstofffahrzeuge.
Erweiterte Suche
Anmelden
nach oben
Erschienen in:
Best Practices in Earth Sciences: The National and International Experience of the Institute of Geophysics, Polish Academy of Sciences Kapitel lesen Erstes Kapitel lesen

2014 | OriginalPaper | Buchkapitel

Random Domino Automaton: Modeling Macroscopic Properties by Means of Microscopic Rules

verfasst von : Mariusz Białecki, Zbigniew Czechowski

Erschienen in: Achievements, History and Challenges in Geophysics

Verlag: Springer International Publishing

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

A stochastic cellular automaton called Random Domino Automaton (RDA) was set up to model basic properties of earthquakes. This review presents definition of the automaton as well as investigates its properties in detail. It emphasizes transparent structures of the automaton and their relations to seismology, statistical physics and combinatorics. In particular, a role of RDA for modeling time series with Ito equation is emphasized.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Jetzt informieren
Vorheriges Kapitel Discharge Measurements in Lowland Rivers: Field Comparison Between an Electromagnetic Open Channel Flow Meter (EOCFM) and an Acoustic Doppler Current Profiler (ADCP)
Nächstes Kapitel Continental Passive Margin West of Svalbard and Barents Sea in Polish Arctic Seismic Studies
Literatur
Aigner M (2007) A course in enumeration. Graduate text in mathematics, vol 238. Springer, Berlin
Bak P, Christensen K, Danon L, Scanlon T (2002) Unified scaling law for earthquakes. Phys Rev Lett 88:178501CrossRef
Bak P, Tang C, Wiesenfeld K (1988) Self-organized criticality. Phys Rev A 38:364–374CrossRef
Bhattacharyya P, Chakrabarti BK (eds) (2007). Modelling critical and Catastrophic phenomena in geoscience. Lecture notes in physics, vol 705. Springer, Berlin
Białecki M (2009) On discrete Sato-like theory with some specializations for finite fields (recent trends in integrable systems). RIMS Kokyuroku 1650:154–161
Białecki M (2012a) An explanation of the shape of the universal curve of the Scaling Law for the earthquake recurrence time distributions. arXiv:1210.7142 [physics.geo-ph]
Białecki M (2012b) Finite random domino automaton. arXiv:1208.5886 [nlin.CG]
Białecki M (2013) From statistics of avalanches to microscopic dynamics parameters in a Toy model of earthquakes. Acta Geophys 61(6):1677–1689
Białecki M, Czechowski Z (2010) On a simple stochastic cellular automaton with avalanches: simulation and analytical results. In: De Rubeis V, Czechowski Z, Teisseyre R (eds) Synchronization and triggering: from fracture to earthquake processes, geoplanet–earth and planetary sciences, Springer, Berlin, pp 63–75. doi: 10.​1007/​978-3-642-12300-9_​5
Białecki M, Czechowski Z (2013) On one-to-one dependence of rebound parameters on statistics of clusters: exponential and inverse-power distributions out of random domino automaton. J Phys Soc Jpn 82:014003. doi: 10.​7566/​JPSJ.​82.​014003
Białecki M, Doliwa A (2005) Algebro-geometric solution of the dKP equation over a finite fieldout of a hyperelliptic curve. Commun Math Phys 253:157–170. doi: 10.​1007/​s00220-004-1207-3
Chopard B, Droz M (2005) Cellular automata modeling of physical systems. Cambridge University Press, Cambridge
Corral A (2004) Unified scaling law for earthquakes. Phys Rev Lett 92:108501CrossRef
Corral A (2007) Statistical features of earthquake temporal occurrence. In: Bhattacharyya P, Chkrabarti BK (eds) Modelling critical and catastrophic phenomena in geoscience. Lecture notes in physics, vol 705. Springer, Berlin, pp 191–221
Czechowski Z (1991) A kinetic model of crack fusion. Geophys J Int 104:419–422CrossRef
Czechowski Z (1993) A kinetic model of nucleation, propagation and fusion of cracks. J Phys Earth 41:127–137CrossRef
Czechowski Z (2013) On reconstruction of the Ito-like equation from persistent time series. Acta Geophys 61(6):1504–1521CrossRef
Czechowski Z, Telesca L (2011) Construction of Ito model for geoelectrical signals. Phys A 390:2511–2519CrossRef
Czechowski Z, Telesca L (2013) Construction of a Langevin model from time series with a periodical correlation function: Application to wind speed data. Physica A 392:55925603
Doliwa A, Białecki M, Klimczewski P (2003) The Hirota equation over finite fields: algebro-geometric approach and multisoliton solutions. J Phys A Math Gen 36:4827–4839. doi:10.​1088/​0305-4470/​36/​17/​309
Drossel B, Schwabl F (1992) Self-organized critical forest-fire model. Phys Rev Lett 69:1629–1632CrossRef
Flajolet P, Sedgewick R (2008) Analytic combinatorics. Cambridge University Press, Cambridge
Gonzalez A, Vazquez-Prada M, Gomez JB, Pacheco AF (2006) A way to synchronize models with seismic faults for earthquake forecasting: Insights from a simple stochastic model. Tectonophysics 424:319–334CrossRef
Holliday JR, Rundle JB, Turcotte DL (2009) Earthquake forecasting and verification. In: Meyers RA (ed) Encyclopedia of complexity and systems science. Springer, New York, pp 2438–2449
Jimenez A (2013) Cellular automata to describe seismicity: a review. Acta Geophys 61(6):1325–1350
Kanki M, Mada J, Tokihiro T (2012) Discrete integrable equations over finite fields. Symmetry Integr Geom 8:054
Lee Y-T, Telesca L, Chen C-C (2012) Negative correlation between frequency-magbitude power-law exponent and Hurst coefficient in the long-range Connective Sandpile model for earthquakes and for real seismicity. EPL 99:29001CrossRef
Marekova E (2012) Testing a scaling law for the earthquake recurrence time distributions. Acta Geophys 60:858–873CrossRef
Nishiyama A, Tokihiro T (2011) Construction of an isotropic cellular automaton for a reaction-diffusion equation by means of a random walk. J Phys Soc Jpn 80:054003CrossRef
Paczuski M, Bak P (1993) Theory of the one-dimensional forest-fire model. Phys Rev E 48:R3214–R3216CrossRef
Rundle JB, Turcotte DL, Shcherbakov R, Klein W, Sammis C (2003) Statistical physics approach to understanding the multiscale dynamics of earthquake fault systems. Rev Geophys 41(4):1019CrossRef
Sloane NJA, Plouffe S (1995) The Encyclopedia of integer sequences. Academic Press, San Diego
Stauffer D, Aharony A (1992) Introduction to percolation theory. Taylor & Francis, London
Takahashi D, Satsuma J (1990) A soliton cellular automaton. J Phys Soc Jpn 59(10):3514–3519CrossRef
Takens F (1981) Dynamical systems and turbulence. In: Rand DA, Young LS (eds) Detecting strange attractors in turbulence. Lecture notes in mathematics, vol 898. Springer, Berlin, pp 366–381
Tejedor A, Ambroj S, Gomez JB, Pacheco AF (2008) Predictability of the large relaxations in a cellular automaton model. J Phys A Math Theor 41:375102CrossRef
Tejedor A, Gomez JB, Pacheco AF (2009) Earthquake size-frequency statistics in a forest-fire model of individual faults. Phys Rev E 79:046102CrossRef
Tejedor A, Gomez JB, Pacheco AF (2010) Hierarchical model for disturbed seismicity. Phys Rev E 82:016118CrossRef
Telesca L, Czechowski Z (2012) Discriminating geoelectrical signals measured in seismic and aseismic areas by using Ito models. Phys A 391:809–818CrossRef
Tokihiro T (2004) Ultradiscrete systems (cellular automata). In: Grammaticos B, Kosmann-Schwarzbach T, Tamizhmani T (eds) Discrete integrable systems. Lecture notes in physics, vol 644. Springer, Berlin, pp 383–424
Tokihiro T, Takahashi D, Matsukidaira J, Satsuma J (1996) From solitonequations to integrable cellular automata through a limiting procedure. Phys Rev Lett 76:3247–3250CrossRef
Vazquez-Prada M, Gonzalez A, Gomez JB, Pacheco AF (2002) A minimalist model of characteristic earthquakes. Nonlinear Processes Geophys 9:513–519CrossRef
Vere-Jones D (2009) Earthquake occurrence and mechanisms, stochastic models for. In: Meyers RA (ed) Encyclopedia of complexity and systems science. Springer, New York, pp 2555–2580
Weatherley D (2006) Recurrence interval statistics of cellular automaton seismicity models. Pure Appl Geophys 163:1933–1947CrossRef
Metadaten
Titel
Random Domino Automaton: Modeling Macroscopic Properties by Means of Microscopic Rules
verfasst von
Mariusz Białecki
Zbigniew Czechowski
Copyright-Jahr
2014
Buch
Achievements, History and Challenges in Geophysics

Print ISBN: 978-3-319-07598-3

Electronic ISBN: 978-3-319-07599-0

Copyright-Jahr: 2014

DOI
https://doi.org/10.1007/978-3-319-07599-0_13