Combinatorial Micro-Macro Dynamical Systems

Preprint English OPEN
Diaz, Rafael; Villamarin, Sergio;
  • Subject: Mathematics - Combinatorics | Condensed Matter - Statistical Mechanics | Mathematics - Dynamical Systems

The second law of thermodynamics states that the entropy of an isolated system is almost always increasing. We propose combinatorial formalizations of the second law and explore their conditions of possibilities.
  • References (9)

    [16] M. Gromov, In a Search for a Structure, Part 1: On Entropy, preprint,∼gromov/PDF/structre-serch-entropy-july5-2012.pdf.

    [17] E. Jaynes, Gibbs vs Boltzmann Entropies, Amer. J. Phys. 33 (1965) 391-398.

    [19] E. Jaynes, Macroscopic prediction, in H. Haken (Ed.) Complex systems operational approaches in neurobiology, Springer, Berlin, 1985, pp. 254269.

    [30] R. Niven, Exact Maxwell-Boltzmann, Bose-Einstein and Fermi-Dirac statistics, Phys. Lett. A (342) 286-293.

    [31] R. Frigg, A field guide to recent work on the foundations of statistical mechanics, in D. Rickles (Ed.), The Ashgate Companion to Contemporary Philosophy of Physics, Ashgate Pub. Limited, Hants (2008) 99-196.

    [32] O. Penrose, Foundations of Statistical Mechanics, Pergamon, Elmsford 1970.

    [33] R. Penrose, Cycles of Time, Vintage Books, New York 2012.

    [34] E. Schro¨dinger, Statistical Thermodynamics, Cambridge Univ. Press, Cambridge 1946.

    [35] X. Yang, Introduction to mathematical optimization, Cambridge Int. Science Pub., Cambridge 2008.

  • Metrics
Share - Bookmark