The nonextensive generalization of Boltzmann-Gibbs statistics and its application

Download
2005
Bağcı, Gökhan Barış
This thesis analyzes the nonextensive generalization of Boltzmann-Gibbs statistics and study its applications to some physical models such as isotropic rigid and non-rigid rotators. The thesis will also try to show what kind of internal energy constraint must be chosen for entropy optimization in a mathematically consistent manner.

Suggestions

Shape Optimization of Reentry Vehicles to Minimize Heat Loading
Eyi, Sinan; Boyd, I D (2019-01-06)
The objective of the current study is to design an optimum reentry vehicle shape that minimizes heat loading subject to constraints on the maximum values of surface heat flux and temperature. A new heat loading formulation is developed for objective function evaluations. Axisymmetric Navier-Stokes and finite-rate chemical reaction equations are solved to evaluate the objective and constraint functions. The Menter SST turbulence model is employed for turbulence closure. A gradient-based method is used for op...
A NECESSARY AND SUFFICIENT CONDITION FOR OSCILLATION OF SECOND ORDER SUBLINEAR DELAY DYNAMIC EQUATIONS
Mert, RazIye; Zafer, Ağacık (2011-09-01)
Time scale calculus approach allows one to treat the continuous, discrete, as well as more general systems simultaneously. In this article we use this tool to establish a necessary and sufficient condition for the oscillation of a class of second order sublinear delay dynamic equations on time scales. Some well known results in the literature are improved and extended.
EVALUATION OF FLUX MODELS FOR RADIATIVE-TRANSFER IN RECTANGULAR FURNACES
Selçuk, Nevin (1988-07-01)
Three flux-type models for three-dimensional radiative heat transfer were applied to the prediction of the radiative flux density and the source term of a box-shaped enclosure problem based on data reported previously on a large-scale experimental furnace with steep temperature gradients. The models, which are a six-term discrete ordinate model and two Schuster-Schwarzschild type six-flux models, were evaluated from the viewpoints of both predictive accuracy and computational economy by comparing their pred...
A new multimodal and asymmetric bivariate circular distribution
Hassanzadeh, Fatemeh; Kalaylioglu, Zeynep (2018-09-01)
Multimodal and asymmetric bivariate circular data arise in several different disciplines and fitting appropriate distribution plays an important role in the analysis of such data. In this paper, we propose a new bivariate circular distribution which can be used to model both asymmetric and multimodal bivariate circular data simultaneously. In fact the proposed density covers unimodality as well as multimodality, symmetry as well as asymmetry of circular bivariate data. A number of properties of the proposed...
DEPENDENT ABSORPTION AND SCATTERING BY INTERACTING NANOPARTICLES
Donmezer, Fatma Nazli; MENGÜÇ, MUSTAFA PINAR; Okutucu Özyurt, Hanife Tuba (2010-01-01)
Dependent light scattering and absorption patterns of metallic nano-sized particles in interaction with other spherical and cone-like structures were investigated. The numerical solution of the light scattering problem was obtained using DDSCAT7.0 code. The surface integration of the Poynting vector is performed to estimate the spectral absorption by individual particles. Parametric studies were conducted to examine the effects of different parameters, including the geometry, size, shape and the position of...
Citation Formats
G. B. Bağcı, “The nonextensive generalization of Boltzmann-Gibbs statistics and its application,” Ph.D. - Doctoral Program, Middle East Technical University, 2005.