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  • Statistical properties of the energy in time-dependent homogeneous power law potentials
    Andresas, Dimitris ; Robnik, Marko, 1954-
    We study classical 1D Hamilton systems with a homogeneous power law potential and their statistical behavior, assuming a microcanonical distribution of the initial conditions and describing its ... change under a monotonically increasing time-dependent function a(t) (the prefactor of the potential). Using the nonlinear Wentzel-Kramers-Brillouin-like method of Papamikos and Robnik 2012 J. Phys. A: Math. Theor. 44 315102 and following a previous work by Papamikos and Robnik 2011 J. Phys. A: Math. Theor. 45 015206, we specifically analyze the mean energy, the variance and the adiabatic invariant (action) of the systems for large time t to endless and we show that the mean energy and variance increase as powers of a(t), while the action oscillates and finally remains constant. By means of a number of detailed case studies, we show that the theoretical prediction is excellent, which demonstrates the usefulness of the method in such applications.
    Vir: Journal of physics. A, Mathematical and theoretical. - ISSN 1751-8113 (Vol. 47, issue 35, 2014, str. 355102-1 - 355102-10)
    Vrsta gradiva - članek, sestavni del
    Leto - 2014
    Jezik - angleški
    COBISS.SI-ID - 79388417
    DOI

vir: Journal of physics. A, Mathematical and theoretical. - ISSN 1751-8113 (Vol. 47, issue 35, 2014, str. 355102-1 - 355102-10)

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