Nonlinear differential equations based on nonextensive Tsallis entropy and physical applications
Abstract
A family of nonlinear ordinary differential equations with arbitrary order is obtained by using nonextensive concepts related to the Tsallis entropy. Applications of these equations are given here. In particular, a connection between Tsallis entropy and the onedimensional correlated anomalous diffusion equation is established. It is also developed explicitly a WKBlike method for second order equations and it is applied to solve approximately a class of equations that contains as a special case the ThomasFermi equation for an atom. It is expected that the present ideas can be useful in the discussion of other nonlinear contexts.
 Publication:

arXiv eprints
 Pub Date:
 April 1999
 arXiv:
 arXiv:condmat/9904023
 Bibcode:
 1999cond.mat..4023M
 Keywords:

 Condensed Matter  Statistical Mechanics
 EPrint:
 No figures