https://gdpark.blog/tags/density-of-states/Recent content in Density of States on gdpark.blogHugoenSun, 26 Jun 2016 00:00:00 +0000https://gdpark.blog/posts/thermal-statistical-36-density-of-states-and-statistical-mechanics-of-the-ideal-gas/Mon, 25 Apr 2016 00:00:00 +0000https://gdpark.blog/posts/thermal-statistical-36-density-of-states-and-statistical-mechanics-of-the-ideal-gas/We finally tackle the ideal gas and why we can actually compute Z for it — turns out independent subsystems make partition functions way more manageable lol.https://gdpark.blog/posts/thermal-statistical-37-density-of-states-another-perspective/Mon, 25 Apr 2016 00:00:00 +0000https://gdpark.blog/posts/thermal-statistical-37-density-of-states-another-perspective/Why stress over weird container shapes? Since boundary conditions don’t actually matter in stat mech, we just pick periodic BCs so we can use clean plane waves instead of messy sines and cosines.https://gdpark.blog/posts/thermal-statistical-38-quantum-concentration-and-thermal-de-broglie-wavelength/Tue, 26 Apr 2016 00:00:00 +0000https://gdpark.blog/posts/thermal-statistical-38-quantum-concentration-and-thermal-de-broglie-wavelength/We grind through the ideal gas partition function integral step by step, then dig into what the result actually tells us about quantum concentration and the thermal de Broglie wavelength.https://gdpark.blog/posts/thermal-statistical-50-the-stefan-boltzmann-constant/Sun, 26 Jun 2016 00:00:00 +0000https://gdpark.blog/posts/thermal-statistical-50-the-stefan-boltzmann-constant/We crack open the Stefan-Boltzmann constant σ using modern physics — photon energy, Bose-Einstein distributions, and density of states — to finally nail down that number!!!