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Chaotic dynamics of a one-dimensiona...

Kumar, Pankaj.

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Chaotic dynamics of a one-dimensional coulomb system with periodic boundary conditions.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Chaotic dynamics of a one-dimensional coulomb system with periodic boundary conditions./
Author:	Kumar, Pankaj.
Published:	Ann Arbor : ProQuest Dissertations & Theses, : 2015,
Description:	107 p.
Notes:	Source: Masters Abstracts International, Volume: 54-05.
Contained By:	Masters Abstracts International54-05(E).
Subject:	Plasma physics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=1589047
ISBN:	9781321758887

Chaotic dynamics of a one-dimensional coulomb system with periodic boundary conditions.
Kumar, Pankaj.

Chaotic dynamics of a one-dimensional coulomb system with periodic boundary conditions. - Ann Arbor : ProQuest Dissertations & Theses, 2015 - 107 p.

Source: Masters Abstracts International, Volume: 54-05.

Thesis (M.S.)--Texas Christian University, 2015.

Simulation 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.

ISBN: 9781321758887Subjects--Topical Terms:

3175417
Plasma physics.

Chaotic dynamics of a one-dimensional coulomb system with periodic boundary conditions.
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100 1 $a Kumar, Pankaj. $3 3284283
245 1 0 $a Chaotic dynamics of a one-dimensional coulomb system with periodic boundary conditions.
260 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2015
300 $a 107 p.
500 $a Source: Masters Abstracts International, Volume: 54-05.
500 $a Adviser: Bruce N. Miller.
502 $a Thesis (M.S.)--Texas Christian University, 2015.
520 $a Simulation 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.
590 $a School code: 0229.
650 4 $a Plasma physics. $3 3175417
650 4 $a Astronomy. $3 517668
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856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=1589047