Show/Hide Menu
Hide/Show Apps
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
Open Access Guideline
Open Access Guideline
Postgraduate Thesis Guideline
Postgraduate Thesis Guideline
Communities & Collections
Communities & Collections
Help
Help
Frequently Asked Questions
Frequently Asked Questions
Guides
Guides
Thesis submission
Thesis submission
MS without thesis term project submission
MS without thesis term project submission
Publication submission with DOI
Publication submission with DOI
Publication submission
Publication submission
Supporting Information
Supporting Information
General Information
General Information
Copyright, Embargo and License
Copyright, Embargo and License
Contact us
Contact us
Thermodynamics of Bose-Einstein gas trapped in D-dimensional quartic potentials
Date
2010-04-01
Author
Karabulut, Elife Oe
Koyuncu, Mustafa
Tomak, Mehmet
Metadata
Show full item record
This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
.
Item Usage Stats
260
views
0
downloads
Cite This
Quartic potentials play air important role in a broad range of fields in the Bose-Einstein Condensation (BEC) literature, from optical lattices to vortices and even to the quantum phase transitions. This also makes the study of thermodynamic properties of systems confined by these potentials interesting. For this purpose, the BEC of an ideal Bose system with a finite number of particles is considered in three and lower dimensions. A comprehensive thermodynamic analysis including the condensation temperature, chemical potential, condensate fraction, hear capacity, total energy, and entropy has been carried Out with a special emphasis oil low-dimensional case for which the standard semi-classical method is not applicable. As a result of our Calculations based Oil a quantum mechanical treatment we have shown that BEC is possible in a one-dimensional quartic potential, in contrast with the predictions of the standard method. Moreover it is also possible to corroborate Our results by using a modified semi-classical approximation that enables LIS to estimate the condensation temperatures for one-dimensional traps for all powers of the confining potential. We have found higher condensation temperatures than for the harmonic traps for all the three spatial configurations of the quartic trap.
Subject Keywords
Statistics and Probability
,
Condensed Matter Physics
URI
https://hdl.handle.net/11511/47234
Journal
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
DOI
https://doi.org/10.1016/j.physa.2009.12.017
Collections
Department of Physics, Article
Suggestions
OpenMETU
Core
Numerical evidence of spontaneous division of dissipative solitons in a planar gas discharge-semiconductor system
Rafatov, İsmail (AIP Publishing, 2019-09-01)
This work deals with the formation of patterns of spatially localized solitary objects in a planar semiconductor gas-discharge system with a high Ohmic electrode. These objects, known as dissipative solitons, are generated in this system in the form of self-organized current filaments, which develop from the homogeneous stationary state by the Turing bifurcation. The numerical model reveals, for the first time, evidence of spontaneous division of the current filaments in this system, similar to that observe...
Oscillations in dc driven barrier discharges: Numerical solutions, stability analysis, and phase diagram
SIJACIC, DD; EBERT, U; Rafatov, İsmail (American Physical Society (APS), 2005-06-01)
A short gas-discharge layer sandwiched with a semiconductor layer between planar electrodes shows a variety of spatiotemporal patterns. We focus on the spontaneous temporal oscillations that occur while a dc voltage is applied and while the system stays spatially homogeneous; the results for these oscillations apply equally to a planar discharge in series with any resistor with capacitance. We define the minimal model, identify its independent dimensionless parameters, and then present the results of the fu...
THERMODYNAMIC QUANTITIES AT HIGH PRESSURES IN THE i AND theta PHASES OF SOLID NITROGEN DEDUCED BY RAMAN FREQUENCY SHIFTS FOR THE INTERNAL MODES IN LITERATURE
Yurtseven, Hasan Hamit (World Scientific Pub Co Pte Lt, 2013-04-10)
The pressure dependence of the Raman frequencies of the internal modes is analyzed (T = 300 K) for the phases i and theta of solid nitrogen using the experimental data from the literature. Through the mode Gruneisen parameter, the isothermal compressibility kappa(T), thermal expansion alpha(p) and the specific heat C-p - C-v are calculated as a function of pressure using the Raman data in these phases.
Viscoelastic behavior of stock indices
Gündüz, Güngör; Guenduez, Yalin (Elsevier BV, 2010-12-15)
The scattering diagram of a stock index results in a complex network structure, which can be used to analyze the viscoelastic properties of the index. The change along x-or y-direction of the diagram corresponds to purely elastic (or spring like) movement whereas the diagonal change at an angle of 45 degrees corresponds to purely viscous (or dashpot like) movement. The viscous component pushes the price from its current value to any other value, while the elastic component acts like a restoring force. Four ...
Period doubling cascade in glow discharges: Local versus global differential conductivity
SIJACIC, DD; EBERT, U; Rafatov, İsmail (American Physical Society (APS), 2004-11-01)
Short planar glow discharges coupled to a resistive layer exhibit a wealth of spontaneous spatiotemporal patterns. Due to similarities with other pattern forming systems that are described by reaction-diffusion models, several authors have tried to derive such models from discharge physics. We investigate the temporal oscillations of the discharge system and find a cascade of period doubling events. This shows that the inner structure of the discharge is more complex than can be described by a two-component...
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
E. O. Karabulut, M. Koyuncu, and M. Tomak, “Thermodynamics of Bose-Einstein gas trapped in D-dimensional quartic potentials,”
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
, pp. 1371–1379, 2010, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/47234.