18 citations · 62 across the 8 of their papers we have counts for
4 papers · 1 filter
Entropy driven transformations of statistical hypersurfaces
Mario Angelelli, Boris Konopelchenko
Deformations of geometric characteristics of statistical hypersurfaces governed by the law of growth of entropy are studied. Both general and special cases of deformations are cons…
Zeros and amoebas of partition functions
M. Angelelli, B. Konopelchenko
Singular sectors (loci of zeros) for real-valued non-positively defined partition functions of variables are studied. It is shown th…
Geometry of the basic statistical physics mapping
Mario Angelelli, Boris Konopelchenko
Geometry of hypersurfaces defined by the relation which generalizes classical formula for free energy in terms of microstates is studied. Induced metric, Riemann curvature tensor,…
Tropical Limit in Statistical Physics
M. Angelelli, B. Konopelchenko
Tropical limit for macroscopic systems in equilibrium defined as the formal limit of Boltzmann constant k going to 0 is discussed. It is shown that such tropical limit is well-adap…