A SIMULATION FOR ENERGY DISSIPATION IN PHYSICAL SYSTEMS

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dc.contributor.authorNGADDA, YAKUBU,
dc.contributor.authorHUNIRA
dc.date.accessioned2014-02-21T08:38:10Z
dc.date.available2014-02-21T08:38:10Z
dc.date.issued1988-09
dc.descriptionDepartment of Physics, Ahmadu Bello University, Zaria.en_US
dc.description.abstractABSTRACT A formalism for energy dissipation in physical systems using coupled oscillators is hereby presented. The model demonstrates energy transfer from a free translational motion of a centre of mass into intrinsic modes represented by four oscillators of the same force constant. First, from the classical energy of the system, the kinetic and potential energy matrices are deduced. These matrices are used to transform the natural modes of vibration into normal coordinates which decouple the vibration into the various modes with particular frequencies. This transformation has been done through the application of Lagrangian dynamics. A classically decoupled total Hamiltonian obtained is written in terms of its quantum mechanical equivalence. The time-independent Schrodinger's equation applied to the decoupled Hamiltonian of the system quantizes it, giving the usual quantum mechanical eigenvalues and eigenfunctions for both intrinsic and translational motions. Collective amplitudes of the motion, or the dissipation functions of the internal excitation energy, obtained as a multiple integral in terms of the translational and intrinsic wave functions is solved analytically exactly. Numerical values of the normalized collective amplitudes have been computed and examples of probability distributions for the intrinsic excitation are presented graphically.en_US
dc.identifier.urihttp://hdl.handle.net/123456789/2242
dc.language.isoenen_US
dc.subjectSIMULATION,en_US
dc.subjectENERGY,en_US
dc.subjectDISSIPATION,en_US
dc.subjectPHYSICAL,en_US
dc.subjectSYSTEMSen_US
dc.titleA SIMULATION FOR ENERGY DISSIPATION IN PHYSICAL SYSTEMSen_US
dc.typeThesisen_US
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