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Numerical modeling of relativistic networks

Author

Listed:
  • Stanislav Klimenko

    (Institute of Computing for Physics and Technology, Protvino, Russia)

  • Igor Nikitin

    (Fraunhofer Institute for Algorithms and Scientific Computing, Sankt Augustin, Germany)

  • Lialia Nikitina

    (Fraunhofer Institute for Algorithms and Scientific Computing, Sankt Augustin, Germany)

  • Kira Konich

    (Bauhaus University, Weimar, Germany)

  • Kevin Reinartz

    (Bauhaus University, Weimar, Germany)

Abstract

In this paper, we consider a model of relativistic networks, a topological extension of the model of relativistic particles. Numerical experiments are performed to study thermodynamical properties of the model and their relationship with explicit symmetry of solutions under time reversal. An efficient algorithm is constructed, allowing to generate numerical solutions of high complexity in the given model. The algorithm includes a generator of random topology, an optimal choice of stiffness coefficients for the network and a solver for constrained optimization problem, describing an equilibrium of the network. A system, studied in the given paper, contains about 100 thousands of equations and inequalities. Possible extensions of the algorithm are discussed, necessary for processing of relativistic networks of higher complexity, containing millions of equations.

Suggested Citation

  • Stanislav Klimenko & Igor Nikitin & Lialia Nikitina & Kira Konich & Kevin Reinartz, 2017. "Numerical modeling of relativistic networks," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 28(03), pages 1-20, March.
    • Handle: RePEc:wsi:ijmpcx:v:28:y:2017:i:03:n:s0129183117500358
    DOI: 10.1142/S0129183117500358
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