Skip to main content
SpringerLink
Log in

Optimization of Monte Carlo Integration of the Multidimensional Collision Integral

  • COMPUTER TECHNOLOGIES IN PHYSICS
  • Published:
Physics of Particles and Nuclei Letters Aims and scope Submit manuscript

Abstract

To calculate the lifetime (width) of mesons in a hot and dense nuclear matter, it is required to compute the multidimensional integrals with complicated integrand functions. In this work an algorithm for the numerical calculation of such integrals based on the Monte-Carlo method is presented. To optimize of the computation time, the parallel calculation algorithm is implemented in the C++ programming language using OpenMP and NVIDIA CUDA technology. The code is applied to the calculation of the pion damping width using all possible pion-pion scattering modes.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1.

Similar content being viewed by others

REFERENCES

  1. L. P. Kadanoff, and G. Baym, Quantum Statistical Mechanics (W. A. Benjamin, New York, 1962).

    MATH  Google Scholar 

  2. E. Quak, P. Zhuang, Y. L. Kalinovsky, S. P. Klevansky, and J. Hüfner, “π–π scattering lengths at finite temperature,” Phys. Lett. B 348, 1 (1995).

    Article  ADS  Google Scholar 

  3. S. R. Cotanch and P. Maris, “QCD based quark description of π-π scattering up to the σ and ρ regions,” Phys. Rev. D 66, 116010 (2002).

    Article  ADS  Google Scholar 

  4. A. V. Friesen, Y. L. Kalinovsky, and V. D. Toneev, “Decay of a scalar σ-meson near the critical end-point in the PNJL model,” Phys. Part. Nucl. Lett., 1 (2012); arXiv: 1104.2698 [nucl-th].

  5. I. Sobol, Numerical Monte-Carlo Methods (Nauka, Moscow, 1973) [in Russian].

    MATH  Google Scholar 

  6. H. Bauke, Tina’s Random Number Generator Library, Version 4.24. www.numbercrunch.de/trng/trng.pdf. Accessed March 27, 2021.

  7. The GSL Team GNU Scientific Library v2.7. www.gnu.org/software/gsl/doc/html/montecarlo.html.

  8. A. S. Antonov, Parallel Programming Technologies MPI and OpenMP, The School-Book (Mosk. Gos. Univ., Moscow, 2012) [in Russian].

    Google Scholar 

  9. NVIDIA CUDA C++ Programming Guide v11.5.0 (2021).

  10. The Laboratory of Information Technologies Heterogeneous Computing Cluster HybriLIT. www://hybrilit.jinr.ru.

  11. D. Blaschke, M. K. Volkov, and V. L. Yudichev, “Pion damping width from SU(2) X SU(2) NJL model,” Phys. At. Nucl. 66, 1 (2003); arXiv: 0303034 [nucl-th].

Download references

Funding

The work was supported by the Russian Foundation for Basic Research, grant no. 18-02-40137.

Author information

Authors and Affiliations

  1. Joint Institute for Nuclear Research, 141980, Dubna, Russia

    A. V. Friesen, D. Goderidze & Yu. L. Kalinovsky

Authors
  1. A. V. Friesen
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. D. Goderidze
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Yu. L. Kalinovsky
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding authors

Correspondence to A. V. Friesen, D. Goderidze or Yu. L. Kalinovsky.

Ethics declarations

The authors declare that they have no conflicts of interest.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Friesen, A.V., Goderidze, D. & Kalinovsky, Y.L. Optimization of Monte Carlo Integration of the Multidimensional Collision Integral. Phys. Part. Nuclei Lett. 19, 566–569 (2022). https://doi.org/10.1134/S1547477122050181

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1547477122050181

Search

Navigation