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Grand Canonical Distribution, Photon Gas

This video provides an overview of statistical physics, focusing on the grand canonical ensemble (0:29). It explains how to derive thermodynamic quantities from the grand canonical partition function, discusses energy and particle number fluctuations, and uses the photon gas as an example to illustrate these concepts (13:00, 19:22). The lecture also covers how maximizing entropy leads to the canonical distribution (41:23) and introduces the Gibbs paradox regarding the entropy of mixing (53:20). 🌟 Welcome to Swayam Prabha 🌟 Subject: Physics Course Name: Statistical Physics of Non-Interacting and Interacting Systems Name of Presenter: Prof. Saurabh Basu Affiliation / Institute: IISER Mohali 📚 About Swayam Prabha Swayam Prabha is a flagship educational initiative of the Government of India, providing free, high-quality educational content through DTH television and online platforms. 📡 Programme & Delivery Swayam Prabha operates 40+ free-to-air DTH educational channels, broadcasting academic content 24×7 via the GSAT-15 satellite. New content is telecast daily and repeated multiple times for learner convenience. 🎓 Content Providers IITs, UGC, CEC, IGNOU, NPTEL, NCERT, and other national educational institutions. 🖥️ INFLIBNET Centre The INFLIBNET Centre maintains the Swayam Prabha web portal and supports content discovery, scheduling, and access to educational resources. 📺 Broadcast Infrastructure All channels are uplinked from BISAG-N, Gandhinagar, ensuring reliable nationwide transmission. 🌐 Official Website https://swayamprabha.gov.in/ 📌 This video is part of the Swayam Prabha initiative and is intended for academic and educational purposes only. #StatisticalPhysics #GrandCanonicalEnsemble #PhotonGas #Thermodynamics #GibbsParadox