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Boltzmann transport equation (BTE) is an equation depicting how the probability of a particle's state evolve with respect to time. This equation has been applied to explain many fluid transport phenomena such as diffusion, effusion, etc. Solution of this Boltzmann transport equation would be in...
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| Format: | Final Project |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/11395 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | Boltzmann transport equation (BTE) is an equation depicting how the probability of a particle's state evolve with respect to time. This equation has been applied to explain many fluid transport phenomena such as diffusion, effusion, etc. Solution of this Boltzmann transport equation would be in the form of a single particle's distribution function. For a statistical equilibrium condition, (a state with largest weighted function, or a state that is most probable to be happened), Boltzmann transport equation will become Liouville equation (LE), and the solution of this Liouville equation would be in the form of Maxwell-Boltzmann distribution function which is usually called as Maxwellian. In this thesis, BTE, LE, and Maxwellian in a classical domain (Cartesian space-time) will be generalized into special relativistic domain (which its space-time is characterized by Minkowski metric). After having BTE, LE, and Maxwellian in a special relativistic domain, we will be further generalized them into general relativistic domain. In this general relativity domain, a space-time charaterized by Schwarzschild metric (which is spherically symmetric) will be selected as an example case to be solved in order to obtain its Maxwellian distribution function. <br />
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