caa a22 4500 463197364 CHVBK 20180406164926.0 cr unu---uuuuu 170326e20070501xx s 000 0 eng 10.1007/s10773-006-9260-7 doi (NATIONALLICENCE)springer-10.1007/s10773-006-9260-7 Statistical Physics on the Space ( x , v ) for Dissipative Systems and Study of an Ensemble of Harmonic Oscillators in a Weak Linear Dissipative Medium [Elektronische Daten] [G. López, P. López, X. López] We use the phase space position-velocity (x, v) to deal with the statistical properties of velocity dependent dynamical systems, like dissipative ones. Within this approach, we study the statistical properties of an ensemble of harmonic oscillators in a linear weak dissipative media. Using the Debye model of a crystal, we calculate at first order in the dissipative parameter the entropy, free energy, internal energy, equation of state and specific heat using the classical and quantum approaches. For the classical approach we found that the entropy, the equation of state, and the free energy depend on the dissipative parameter, but the internal energy and specific heat do not depend of it. For the quantum case, we found that all the thermodynamical quantities depend on this parameter. Springer Science+Business Media, LLC, 2006 space ( x , v ) nationallicence dissipation nationallicence harmonic oscillators nationallicence López G. Departamento de Física, Universidad de Guadalajara, Apartado Postal 4-137, 44410, Guadalajara, Jalisco, México aut López P. Departamento de Física, Universidad de Guadalajara, Apartado Postal 4-137, 44410, Guadalajara, Jalisco, México aut López X. Facultad de Ciencias, Universidad Nacional Autónoma de México, Apartado Postal 70-348, 04511, Coyoacán, México D.F. aut International Journal of Theoretical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 46/5(2007-05-01), 1100-1111 0020-7748 46:5<1100 2007 46 10773 https://doi.org/10.1007/s10773-006-9260-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10773-006-9260-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- López G. Departamento de Física, Universidad de Guadalajara, Apartado Postal 4-137, 44410, Guadalajara, Jalisco, México aut NATIONALLICENCE 700 1- López P. Departamento de Física, Universidad de Guadalajara, Apartado Postal 4-137, 44410, Guadalajara, Jalisco, México aut NATIONALLICENCE 700 1- López X. Facultad de Ciencias, Universidad Nacional Autónoma de México, Apartado Postal 70-348, 04511, Coyoacán, México D.F aut NATIONALLICENCE 773 0- International Journal of Theoretical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 46/5(2007-05-01), 1100-1111 0020-7748 46:5<1100 2007 46 10773 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer