Masoliver, Jaume, 1951-2011-07-072011-07-0719931063-651Xhttps://hdl.handle.net/2445/18788We study damped inertial processes driven by dichotomous Markov noise in the absence of a potential. We obtain exact differential equations for the joint probability density and for the marginal densities of velocity and position. Several aspects of the critical behavior of the system are examined in detail. The exact equation for the displacement of a free Brovnian particle is also found, and from this equation we study the damping effects on the mean-square displacement (X 2 (t)>, by evaluating the dynamical exponent and shoving a crossover from a superdiffusive motion of the form (X 2 (t)> ∼t 3 to ordinary diffusion where (X 2 (t)>∼t15 p.application/pdfeng(c) American Physical Society, 1993Física estadísticaTermodinàmicaFísica matemàticaStatistical physicsThermodynamicsMathematical physicsinfo:eu-repo/semantics/article69811info:eu-repo/semantics/openAccess