In statistical mechanics, Boltzmann's equation (also known as the Boltzmann–Planck equation) is a probability equation relating the entropy , also written as , of an ideal gas to the multiplicity (commonly denoted as or ), the number of real microstates corresponding to the gas's macrostate: where is the Boltzmann constant (also written as simply ) and equal to 1.380649 × 10−23 J/K, and is the natural logarithm function. In short, the Boltzmann formula shows the relationship between entropy and the number of ways the atoms or molecules of a certain kind of thermodynamic system can be arranged. (Wikipedia).
Maxwell-Boltzmann distribution
Entropy and the Maxwell-Boltzmann velocity distribution. Also discusses why this is different than the Bose-Einstein and Fermi-Dirac energy distributions for quantum particles. My Patreon page is at https://www.patreon.com/EugeneK 00:00 Maxwell-Boltzmann distribution 02:45 Higher Temper
From playlist Physics
Boltzmann's Entropy Equation: A History from Clausius to Planck
Boltzmann's entropy formula was created by Max Planck in 1900! So, why did Planck create this equation and how did it end up on Boltzmann's grave? I used primary sources to explain the history of this famous and confusing equation. My Patreon Page (thanks!): https://www.patreon.com/us
From playlist Max Planck Biographies
Topics in Combinatorics lecture 10.0 --- The formula for entropy
In this video I present the formula for the entropy of a random variable that takes values in a finite set, prove that it satisfies the entropy axioms, and prove that it is the only formula that satisfies the entropy axioms. 0:00 The formula for entropy and proof that it satisfies the ax
From playlist Topics in Combinatorics (Cambridge Part III course)
Physics - Thermodynamics 2: Ch 32.7 Thermo Potential (10 of 25) What is Entropy?
Visit http://ilectureonline.com for more math and science lectures! In this video explain and give examples of what is entropy. 1) entropy is a measure of the amount of disorder (randomness) of a system. 2) entropy is a measure of thermodynamic equilibrium. Low entropy implies heat flow t
From playlist PHYSICS 32.7 THERMODYNAMIC POTENTIALS
Physics 32.5 Statistical Thermodynamics (16 of 39) Definition of Entropy of a Microstate: Example
Visit http://ilectureonline.com for more math and science lectures! To donate: http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 In this video I will explain entropy in statistical thermodynamics using the Boltzman definition. Next video in this series can be s
The ENTROPY EQUATION and its Applications | Thermodynamics and Microstates EXPLAINED
Entropy is a hotly discussed topic... but how can we actually CALCULATE the entropy of a system? (Note: The written document discussed here can be found in the pinned comment below!) Hey everyone, I'm back with a new video, and this time it's a bit different to my usual ones! In this vid
From playlist Thermodynamics by Parth G
Entropy production during free expansion of an ideal gas by Subhadip Chakraborti
Abstract: According to the second law, the entropy of an isolated system increases during its evolution from one equilibrium state to another. The free expansion of a gas, on removal of a partition in a box, is an example where we expect to see such an increase of entropy. The constructi
From playlist Seminar Series
Entropy is often taught as a measure of how disordered or how mixed up a system is, but this definition never really sat right with me. How is "disorder" defined and why is one way of arranging things any more disordered than another? It wasn't until much later in my physics career that I
From playlist Thermal Physics/Statistical Physics
Teach Astronomy - Entropy of the Universe
http://www.teachastronomy.com/ The entropy of the universe is a measure of its disorder or chaos. If the laws of thermodynamics apply to the universe as a whole as they do to individual objects or systems within the universe, then the fate of the universe must be to increase in entropy.
From playlist 23. The Big Bang, Inflation, and General Cosmology 2
Statistical Mechanics Lecture 2
(April 8, 2013) Leonard Susskind presents the physics of temperature. Temperature is not a fundamental quantity, but is derived as the amount of energy required to add an incremental amount of entropy to a system. Originally presented in the Stanford Continuing Studies Program. Stanford
From playlist Course | Statistical Mechanics
Some Half-Baked Thoughts about de Sitter Space - Leonard Susskind
High Energy Theory Seminar Topic: Some Half-Baked Thoughts about de Sitter Space Speaker: Leonard Susskind Affiliation: Stanford University Date: March 29, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics
Thermodynamique et information - Bourbaphy - 17/11/18
"Kirone Mallick (IPhT Saclay) / 17.11.2018 Thermodynamique et information ---------------------------------- Vous pouvez nous rejoindre sur les réseaux sociaux pour suivre nos actualités. Facebook : https://www.facebook.com/InstitutHenriPoincare/ Twitter : https://twitter.com/InHenriPo
From playlist Bourbaphy - 17/11/18 - L'information
Statistical Mechanics Lecture 5
(April 29, 2013) Leonard Susskind presents the mathematical definition of pressure using the Helmholtz free energy, and then derives the famous equation of state for an ideal gas: pV = NkT. Originally presented in the Stanford Continuing Studies Program. Stanford University: http://www.s
From playlist Course | Statistical Mechanics
PUBLIC OPENING featuring Cédric Villani: The Many Facets of Entropy [2014]
Video taken from: http://www.fields.utoronto.ca/programs/scientific/fieldsmedalsym/14-15/
From playlist Mathematics
Lecture 3 | Modern Physics: Statistical Mechanics
April 13, 2009 - Leonard Susskind reviews the Lagrange multiplier, explains Boltzmann distribution and Helm-Holtz free energy before oulining into the theory of fluctuations. Stanford University: http://www.stanford.edu/ Stanford Continuing Studies Program: http://csp.stanford.edu/
From playlist Lecture Collection | Modern Physics: Statistical Mechanics
Statistical Mechanical Ensembles and Typical Behavior of Macroscopic Systems by Joel Lebowitz
DISTINGUISHED LECTURES STATISTICAL MECHANICAL ENSEMBLES AND TYPICAL BEHAVIOR OF MACROSCOPIC SYSTEMS (ONLINE) SPEAKER: Joel Lebowitz (Rutgers University, New Brunswick, USA) DATE : 13 July 2021, 19:30 to 21:00 VENUE: Online Abstract: In this talk I will focus on describing, in a qualit
From playlist DISTINGUISHED LECTURES
Entropy and the Second Law of Thermodynamics
Deriving the concept of entropy; showing why it never decreases and the conditions for spontaneous actions. Why does heat go from hot to cold and not the other way round?
From playlist Thermodynamics
Statistical Mechanics Lecture 7
(May 13, 2013) Leonard Susskind addresses the apparent contradiction between the reversibility of classical mechanics and the second law of thermodynamics, which states that entropy generally increases. This topic leads to a discussion of the foundation of chaos theory. Originally presen
From playlist Course | Statistical Mechanics