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Conclusion

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Statistical Mechanics for Athermal Fluctuation

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Abstract

This thesis is concluded with several remarks and future perspectives in this chapter.

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References

  1. K. Kanazawa, T.G. Sano, T. Sagawa, H. Hayakawa, Phys. Rev. Lett. 114, 090601 (2015)

    Article  ADS  Google Scholar 

  2. K. Kanazawa, T.G. Sano, T. Sagawa, H. Hayakawa, J. Stat. Phys. 160, 1294 (2015)

    Article  ADS  MathSciNet  Google Scholar 

  3. K. Kanazawa, T. Sagawa, H. Hayakawa, Phys. Rev. Lett. 108, 210601 (2012)

    Article  ADS  Google Scholar 

  4. K. Kanazawa, T. Sagawa, H. Hayakawa, Phys. Rev. E 87, 052124 (2013)

    Article  ADS  Google Scholar 

  5. K. Kanazawa, T. Sagawa, H. Hayakawa, Phys. Rev. E 90, 012115 (2014)

    Article  ADS  Google Scholar 

  6. H. Mori, Prog. Theor. Phys. 34, 399 (1965)

    Article  ADS  Google Scholar 

  7. R. Zwanzig, Nonequilibrium Statistical Mechanics (Oxford University Press, Oxford, 2001)

    Google Scholar 

  8. N.V. Brilliantov, T. Pöschel, Kinetic of Theory of Granular Gases (Oxford University Press, Oxford, 2003)

    Google Scholar 

  9. R.N. Mantegna, H.E. Stanley, Nature 376, 46 (1995)

    Article  ADS  Google Scholar 

  10. R.N. Mantegna, H.E. Stanley, An Introduction to Econophysics (Cambridge University Press, Cambridge, 2000)

    MATH  Google Scholar 

  11. E. Ben-Isaac, Y.K. Park, G. Popescu, F.L.H. Brown, N.S. Gov, Y. Shokef, Phys. Rev. Lett. 106, 238103 (2011)

    Article  ADS  Google Scholar 

  12. N. Gov, Phys. Rev. Lett. 93, 268104 (2004)

    Article  ADS  Google Scholar 

  13. T. Toyota, D.A. Head, C.F. Schmidt, D. Mizuno, Soft Matter 7, 3234 (2011)

    Article  ADS  Google Scholar 

  14. I. Zaid, D. Mizuno, Phys. Rev. Lett. 117, 030602 (2016)

    Article  ADS  Google Scholar 

  15. T. Kurihara, M. Aridome, H. Ayade, I. Zaid, D. Mizuno, Phys. Rev. E 95, 030601(R) (2017)

    Article  ADS  Google Scholar 

  16. P. Résibois, M. de Leener, Classical Kinetic Theory of Liquids (Wiley, New York, 1977)

    MATH  Google Scholar 

  17. K. Kanazawa, T. Sueshige, H. Takayasu, M. Takayasu, arXiv:1703.06739 (2017)

  18. C.W. Gardiner, Handbook of Stochastic Methods for Physics, Chemistry and the Natural Sciences, 4th edn. (Springer, Berlin, 2009)

    Google Scholar 

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Correspondence to Kiyoshi Kanazawa .

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Kanazawa, K. (2017). Conclusion. In: Statistical Mechanics for Athermal Fluctuation. Springer Theses. Springer, Singapore. https://doi.org/10.1007/978-981-10-6332-9_12

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  • DOI: https://doi.org/10.1007/978-981-10-6332-9_12

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-6330-5

  • Online ISBN: 978-981-10-6332-9

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