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dc.contributor.advisorMiller, Bruce N.
dc.contributor.authorKumar, Pankajen_US
dc.date.accessioned2015-05-12T21:10:06Z
dc.date.available2015-05-12T21:10:06Z
dc.date.created2015en_US
dc.date.issued2015en_US
dc.identifierUMI thesisen_US
dc.identifiercat-2392842en_US
dc.identifier.urihttps://repository.tcu.edu/handle/116099117/8331
dc.description.abstractSimulation tools for the analysis of dynamics and chaos for one-dimensional systems with periodic boundary conditions are provided. Results of a simulation study of the nonlinear dynamics and the thermodynamics of a spatially-periodic single-component one-dimensional Coulomb system are reported. Analytic expressions are derived for the electric potential and field using Ewald sums and the resulting equations of motions are utilized to follow the exact time-evolution of the system using an event-driven algorithm. For a system of three particles, Poincare maps are plotted and the largest Lyapunov exponents are calculated. The results indicate that the three-particle system exhibits interesting dynamics with the phase-space containing periodic, quasiperiodic, as well as chaotic regions for different initial conditions. Simulation results in the thermodynamic limit indicate that the net pressure is equal to the kinetic pressure for all temperatures and there is no phase transition.en_US
dc.format.mediumFormat: Onlineen_US
dc.publisher[Fort Worth, Tex.] : Texas Christian University,en_US
dc.relation.ispartofTCU Master Thesisen_US
dc.relation.requiresMode of access: World Wide Web.en_US
dc.relation.requiresSystem requirements: Adobe Acrobat reader.en_US
dc.titleChaotic dynamics of a one-dimensional Coulomb system with periodic boundary conditionsen_US
dc.typeTexten_US
etd.degree.departmentDepartment of Physics and Astronomy
etd.degree.levelMaster
local.collegeCollege of Science and Engineering
local.departmentPhysics and Astronomy
local.academicunitDepartment of Physics and Astronomy
dc.type.genreThesis
local.subjectareaPhysics and Astronomy
etd.degree.nameMaster of Science


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