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Maximum entropy principle and classical evolution equations with source terms

Author

Listed:
  • Schönfeldt, J-H.
  • Jimenez, N.
  • Plastino, A.R.
  • Plastino, A.
  • Casas, M.

Abstract

We devise a maximum entropy technique to construct (approximate) time-dependent solutions to evolution equations endowed with source terms and, consequently, not preserving normalization. In some special cases the method yields exact solutions. It is shown that the present implementation of the maximum entropy prescription always (even in the case of approximate solutions) preserves the exact functional relationship between the time derivative of the entropy and the time-dependent solutions of the evolution equation. Other properties of the maximum entropy solutions and some illustrative examples are also discussed.

Suggested Citation

  • Schönfeldt, J-H. & Jimenez, N. & Plastino, A.R. & Plastino, A. & Casas, M., 2007. "Maximum entropy principle and classical evolution equations with source terms," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 374(2), pages 573-584.
    • Handle: RePEc:eee:phsmap:v:374:y:2007:i:2:p:573-584
    DOI: 10.1016/j.physa.2006.07.046
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    Cited by:

    1. Secrest, J.A. & Conroy, J.M. & Miller, H.G., 2020. "A unified view of transport equations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 547(C).
    2. Pavić, Milana & Ruggeri, Tommaso & Simić, Srboljub, 2013. "Maximum entropy principle for rarefied polyatomic gases," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(6), pages 1302-1317.

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