https://doi.org/10.1140/epjb/e2012-30009-3
Regular Article
MaxEnt and dynamical information
1 Laboratoire Collisions, Agrégats, Réactivité, IRSAMC, Université Paul Sabatier, 118 Route de Narbonne, 31062 Toulouse, Cedex 09, France
2 Instituto Carlos I de Física Teórica y Computacional and Departamento de Física Atómica, Molecular y Nuclear Universidad de Granada, 18071 Granada, Spain
3 National University La Plata, Physics Institute (IFLP-CCT-CONICET) C.C. 727, 1900 La Plata, Argentina
4 CREG-National University La Plata-CONICET C.C. 727, 1900 La Plata, Argentina
a
e-mail: alberto.hernando@irsamc.ups-tlse.fr
Received: 5 January 2012
Received in final form: 17 February 2012
Published online: 10 May 2012
The MaxEnt solutions are shown to display a variety of behaviors (beyond the traditional and customary exponential one) if adequate dynamical information is inserted into the concomitant entropic-variational principle. In particular, we show both theoretically and numerically that power laws and power laws with exponential cut-offs emerge as equilibrium densities in proportional and other dynamics.
Key words: Statistical and Nonlinear Physics
© EDP Sciences, Società Italiana di Fisica and Springer-Verlag, 2012
