https://gdpark.blog/tags/entropy/Recent content in Entropy on gdpark.blogHugoenSat, 16 Jul 2016 00:00:00 +0000https://gdpark.blog/posts/thermal-statistical-04-temperature/Thu, 31 Dec 2015 00:00:00 +0000https://gdpark.blog/posts/thermal-statistical-04-temperature/Diving into the statistical definition of temperature — microstates, the ergodic hypothesis, and the genuinely staggering conclusion that falls out of it all!https://gdpark.blog/posts/thermal-statistical-22-entropy-thermodynamic-and-statistical-mechanical-perspective/Tue, 05 Jan 2016 00:00:00 +0000https://gdpark.blog/posts/thermal-statistical-22-entropy-thermodynamic-and-statistical-mechanical-perspective/Nobody really knows what entropy is (not even the pros lol), but let’s stumble through Clausius’ definition and the second law of thermodynamics together anyway.https://gdpark.blog/posts/thermal-statistical-24-free-expansion-joule-expansion-and-entropy-of-mixing/Wed, 06 Jan 2016 00:00:00 +0000https://gdpark.blog/posts/thermal-statistical-24-free-expansion-joule-expansion-and-entropy-of-mixing/A casual walkthrough of Joule (free) expansion and entropy of mixing, showing why both processes increase entropy even when internal energy stays zero.https://gdpark.blog/posts/thermal-statistical-25-entropy-practice-problems/Thu, 07 Jan 2016 00:00:00 +0000https://gdpark.blog/posts/thermal-statistical-25-entropy-practice-problems/Working through entropy practice problems—cooling tea and bathtub heat sources—to confirm the second law of thermodynamics (dS ≥ 0) holds up in real scenarios!https://gdpark.blog/posts/thermal-statistical-26-gibbs-expression-for-the-entropy/Thu, 07 Jan 2016 00:00:00 +0000https://gdpark.blog/posts/thermal-statistical-26-gibbs-expression-for-the-entropy/A casual (and slightly reluctant) walkthrough of Gibbs’ entropy formula, showing how entropy gets re-expressed through probability over macrostates and microstates.https://gdpark.blog/posts/thermal-statistical-35-partition-functions-for-a-two-level-system-and-the-harmonic/Sun, 24 Apr 2016 00:00:00 +0000https://gdpark.blog/posts/thermal-statistical-35-partition-functions-for-a-two-level-system-and-the-harmonic/We check that the partition function formulas for U, C, and S actually make physical sense using a simple two-level system — and yep, at 0 K everything ends up in the ground state. Ohong~!https://gdpark.blog/posts/thermal-statistical-41-the-grand-partition-function/Sat, 18 Jun 2016 00:00:00 +0000https://gdpark.blog/posts/thermal-statistical-41-the-grand-partition-function/We let particles flow freely and ask what happens to the partition function — turns out there’s a grand version Z_G derived straight from entropy!https://gdpark.blog/posts/thermal-statistical-44-chemical-potential-as-gibbs-free-energy-per-particle/Tue, 21 Jun 2016 00:00:00 +0000https://gdpark.blog/posts/thermal-statistical-44-chemical-potential-as-gibbs-free-energy-per-particle/We dig into what happens to Gibbs free energy and entropy once we let particles flow in and out, and see why chemical potential turns out to be G per particle!https://gdpark.blog/posts/thermal-statistical-60-trouton-s-rule/Tue, 05 Jul 2016 00:00:00 +0000https://gdpark.blog/posts/thermal-statistical-60-trouton-s-rule/A casual dive into Trouton’s Rule, unpacking why phase transitions happen and how latent heat ties into entropy — because stability is literally everything.https://gdpark.blog/posts/thermal-statistical-62-temperature-dependence-of-latent-heat-for-an-ideal-gas/Thu, 07 Jul 2016 00:00:00 +0000https://gdpark.blog/posts/thermal-statistical-62-temperature-dependence-of-latent-heat-for-an-ideal-gas/We derive the liquid-gas phase boundary with the Clausius-Clapeyron equation, then dig into why latent heat L actually depends on temperature.https://gdpark.blog/posts/thermal-statistical-73-fluctuations/Sat, 16 Jul 2016 00:00:00 +0000https://gdpark.blog/posts/thermal-statistical-73-fluctuations/Can wild, chaotic fluctuations actually be tamed by state functions like S, T, and V? Turns out entropy and probability density are more buddy-buddy than you’d think.