Equations of State for White Dwarfs

This thesis is about deriving a few equations of state for white dwarfs below the regime of neutron drip. White dwarfs - also called degenerate dwarfs, composed mostly of electron-degenerate matter - are luminous and the color of the light they are emitting is white, hence their name. Because o...

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Main Author: Heikkilä, Elena
Other Authors: Matemaattis-luonnontieteellinen tiedekunta, Faculty of Mathematics and Science, Fysiikan laitos, University of Jyväskylä, Jyväskylän yliopisto
Format: Bachelor's thesis
Language:eng
Published: 2009
Subjects:
Online Access: https://jyx.jyu.fi/handle/123456789/22372
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author Heikkilä, Elena
author2 Matemaattis-luonnontieteellinen tiedekunta Faculty of Mathematics and Science Fysiikan laitos University of Jyväskylä Jyväskylän yliopisto
author_facet Heikkilä, Elena Matemaattis-luonnontieteellinen tiedekunta Faculty of Mathematics and Science Fysiikan laitos University of Jyväskylä Jyväskylän yliopisto Heikkilä, Elena Matemaattis-luonnontieteellinen tiedekunta Faculty of Mathematics and Science Fysiikan laitos University of Jyväskylä Jyväskylän yliopisto
author_sort Heikkilä, Elena
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description This thesis is about deriving a few equations of state for white dwarfs below the regime of neutron drip. White dwarfs - also called degenerate dwarfs, composed mostly of electron-degenerate matter - are luminous and the color of the light they are emitting is white, hence their name. Because of the relatively enormous density, the gravitational potential of a white dwarf causes a collapse. White dwarfs are classified as compact objects, meaning that their life begins when a star dies, and are therefore considered as one possibility of a final stage of stellar evolution since they are considered static over the lifetime of the Universe. Star death is a point where the most of its nuclear fuel has been consumed. After the birth, white dwarfs are slowly cooling, radiating away their residual thermal energy. White dwarfs resist the gravitational collapse with electron degeneracy pressure. The temperature of white dwarfs is much higher than that of normal stars. These properties, together with exceedingly small size, are characteristic of white dwarfs. Cooling of white dwarfs offers information of solid state physics in a new setting - the circumstances of an original star can not be built up in a laboratory. Also, it would not be possible to realize the distance, which includes many advantages in sketching timescales and fundamental interactions by observation. More over, the evolution and the equation of state of white dwarfs provide us with more understanding of matter and physics describing the Universe. In this study, the equation of state for white dwarf matter is derived first by treating the matter as ideal Fermi gas, then including also electrostatic forces and considering the effects of inverse β-decay. We conclude with an overview of the equation of gravitational potential energy arising from hydrostatic equilibrium. The accuracy of the equation of state was concluded to depend on which interactions and phenomenon are included in the consideration. On the other hand, choosing the white dwarf model for an application depends significantly on the density of the matter, as well. The equations of state of ideal Fermi gas, with Coulomb correction and with the inverse β-decay correction were concluded to be accurate enough to provide a quantitatively adequate description of the phenomenon.  
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White dwarfs - also called\r\ndegenerate dwarfs, composed mostly of electron-degenerate matter - \r\nare luminous and the color of the light they are emitting is white,\r\nhence their name. Because of the relatively enormous density, the\r\ngravitational potential of a white dwarf causes a collapse.\r\nWhite dwarfs are classified as compact objects, meaning that their\r\nlife begins when a star dies, and are therefore considered as\r\none possibility of a final stage of stellar evolution since they\r\nare considered static over the lifetime of the Universe. Star death is\r\na point where the most of its nuclear fuel has been consumed. After\r\nthe birth, white dwarfs are slowly cooling, radiating away their\r\nresidual thermal energy.\r\nWhite dwarfs resist the gravitational collapse with electron\r\ndegeneracy pressure. The temperature of white dwarfs is much\r\nhigher than that of normal stars. These properties, together with\r\nexceedingly small size, are characteristic of white dwarfs. Cooling of\r\nwhite dwarfs offers information of solid state physics in a new setting\r\n- the circumstances of an original star can not be built up\r\nin a laboratory. Also, it would not be possible to realize the\r\ndistance, which includes many advantages in sketching timescales\r\nand fundamental interactions by observation. More over, the\r\nevolution and the equation of state of white dwarfs provide us with\r\nmore understanding of matter and physics describing the Universe.\r\nIn this study, the equation of state for white dwarf matter\r\nis derived first by treating the matter as ideal Fermi gas, then\r\nincluding also electrostatic forces and considering the effects of\r\ninverse \u03b2-decay. We conclude with an overview of the equation\r\nof gravitational potential energy arising from hydrostatic equilibrium.\r\nThe accuracy of the equation of state was concluded to depend on\r\nwhich interactions and phenomenon are included in the consideration.\r\nOn the other hand, choosing the white dwarf model for\r\nan application depends significantly on the density of the matter,\r\nas well. 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spellingShingle Heikkilä, Elena Equations of State for White Dwarfs Condensed matter physics Astrophysics Fysiikka
title Equations of State for White Dwarfs
title_full Equations of State for White Dwarfs
title_fullStr Equations of State for White Dwarfs Equations of State for White Dwarfs
title_full_unstemmed Equations of State for White Dwarfs Equations of State for White Dwarfs
title_short Equations of State for White Dwarfs
title_sort equations of state for white dwarfs
title_txtP Equations of State for White Dwarfs
topic Condensed matter physics Astrophysics Fysiikka
topic_facet Astrophysics Condensed matter physics Fysiikka
url https://jyx.jyu.fi/handle/123456789/22372 http://www.urn.fi/URN:NBN:fi:jyu-200911024335
work_keys_str_mv AT heikkiläelena equationsofstateforwhitedwarfs