In thermodynamics, the entropy of mixing is the increase in the total entropy when several initially separate systems of different composition, each in a thermodynamic state of internal equilibrium, are mixed without chemical reaction by the thermodynamic operation of removal of impermeable partition(s) between them, followed by a time for establishment of a new thermodynamic state of internal equilibrium in the new unpartitioned closed system. In general, the mixing may be constrained to occur under various prescribed conditions. In the customarily prescribed conditions, the materials are each initially at a common temperature and pressure, and the new system may change its volume, while being maintained at that same constant temperature, pressure, and chemical component masses. The volume available for each material to explore is increased, from that of its initially separate compartment, to the total common final volume. The final volume need not be the sum of the initially separate volumes, so that work can be done on or by the new closed system during the process of mixing, as well as heat being transferred to or from the surroundings, because of the maintenance of constant pressure and temperature. The internal energy of the new closed system is equal to the sum of the internal energies of the initially separate systems. The reference values for the internal energies should be specified in a way that is constrained to make this so, maintaining also that the internal energies are respectively proportional to the masses of the systems. For concision in this article, the term 'ideal material' is used to refer to either an ideal gas (mixture) or an ideal solution. In the special case of mixing ideal materials, the final common volume is in fact the sum of the initial separate compartment volumes. There is no heat transfer and no work is done. The entropy of mixing is entirely accounted for by the diffusive expansion of each material into a final volume not initially accessible to it. In the general case of mixing non-ideal materials, however, the total final common volume may be different from the sum of the separate initial volumes, and there may occur transfer of work or heat, to or from the surroundings; also there may be a departure of the entropy of mixing from that of the corresponding ideal case. That departure is the main reason for interest in entropy of mixing. These energy and entropy variables and their temperature dependences provide valuable information about the properties of the materials. On a molecular level, the entropy of mixing is of interest because it is a macroscopic variable that provides information about constitutive molecular properties. In ideal materials, intermolecular forces are the same between every pair of molecular kinds, so that a molecule feels no difference between other molecules of its own kind and of those of the other kind. In non-ideal materials, there may be differences of intermolecular forces or specific molecular effects between different species, even though they are chemically non-reacting. The entropy of mixing provides information about constitutive differences of intermolecular forces or specific molecular effects in the materials. The statistical concept of randomness is used for statistical mechanical explanation of the entropy of mixing. Mixing of ideal materials is regarded as random at a molecular level, and, correspondingly, mixing of non-ideal materials may be non-random. (Wikipedia).
Mixing of Lennard-Jones particles of two different sizes and masses
Like the video https://youtu.be/opy4fzvxs8g this simulation shows the mixing of 819 particles interacting via a Lennard-Jones potential. The difference is that unlike in the previous video, the orange particles have twice the mass, and sqrt(2) times the radius, of the blue ones. It appear
From playlist Molecular dynamics
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
A better description of entropy
I use this stirling engine to explain entropy. Entropy is normally described as a measure of disorder but I don't think that's helpful. Here's a better description. Visit my blog here: http://stevemould.com Follow me on twitter here: http://twitter.com/moulds Buy nerdy maths things here:
From playlist Best of
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
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
Entropy's role on Thermodynamics
Thermodynamics depends on enthalpy, but it also depends on entropy. Entropy is a quantitative measure of the disorder of a system. We can see how reactions tend to go from order to disorder. At best they can switch between the two reversibly (second law of thermodynamics). There exist reac
From playlist Materials Sciences 101 - Introduction to Materials Science & Engineering 2020
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 explained with simulations. Intuitively understand entropy. Why Heat only flows one direction. Physics lecture with simulations of the system. The reason is because of statistics and more specifically multiplicity. We will explore how particles follow a Boltzmann distribution. Fur
From playlist New to the channel? Try these
Physics 32.5 Statistical Thermodynamics (15 of 39) Definition of Entropy of a Microstate
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 match entropy and thermodynamics probability in statistical thermodynamics. Next video in the polar coordinates
Measuring the configurational entropy in computer simulation ... (Lecture 2) by Ludovic Berthier
PROGRAM ENTROPY, INFORMATION AND ORDER IN SOFT MATTER ORGANIZERS: Bulbul Chakraborty, Pinaki Chaudhuri, Chandan Dasgupta, Marjolein Dijkstra, Smarajit Karmakar, Vijaykumar Krishnamurthy, Jorge Kurchan, Madan Rao, Srikanth Sastry and Francesco Sciortino DATE: 27 August 2018 to 02 Novemb
From playlist Entropy, Information and Order in Soft Matter
Modified Logarithmic Sobolev Inequalities: Theory... (lecture 1) by Prasad Tetali
PROGRAM: ADVANCES IN APPLIED PROBABILITY ORGANIZERS: Vivek Borkar, Sandeep Juneja, Kavita Ramanan, Devavrat Shah, and Piyush Srivastava DATE & TIME: 05 August 2019 to 17 August 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Applied probability has seen a revolutionary growth in resear
From playlist Advances in Applied Probability 2019
Lec 12 | MIT 5.60 Thermodynamics & Kinetics, Spring 2008
Lecture 12: Criteria for spontaneous change. View the complete course at: http://ocw.mit.edu/5-60S08 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 5.60 Thermodynamics & Kinetics, Spring 2008
High entropy alloys are a relatively young new class of materials having only been discovered in 2003. They defy traditional alloy rules by having, in some cases, equiatomic ratios of five different elements! To the surprise of the materials community, it was found that instead of forming
From playlist Materials Sciences 101 - Introduction to Materials Science & Engineering 2020
Measuring the configurational entropy in computer simulations (Lecture - 03) by Ludovic Berthier
Program Entropy, Information and Order in Soft Matter ORGANIZERS: Bulbul Chakraborty, Pinaki Chaudhuri, Chandan Dasgupta, Marjolein Dijkstra, Smarajit Karmakar, Vijaykumar Krishnamurthy, Jorge Kurchan, Madan Rao, Srikanth Sastry and Francesco Sciortino DATE: 27 August 2018 to 02 November
From playlist Entropy, Information and Order in Soft Matter
The Role of Chain Conformational Entropy on Self-Assembly of Surfactants,(Lecture 1) by Sanat Kumar
PROGRAM ENTROPY, INFORMATION AND ORDER IN SOFT MATTER ORGANIZERS: Bulbul Chakraborty, Pinaki Chaudhuri, Chandan Dasgupta, Marjolein Dijkstra, Smarajit Karmakar, Vijaykumar Krishnamurthy, Jorge Kurchan, Madan Rao, Srikanth Sastry and Francesco Sciortino DATE: 27 August 2018 to 02 Novemb
From playlist Entropy, Information and Order in Soft Matter
Session 1 - Anomalies and Entanglement Entropy: Tatsuma Nishioka
https://strings2015.icts.res.in/talkTitles.php
From playlist Strings 2015 conference
Second law of thermodynamics | Chemical Processes | MCAT | Khan Academy
Visit us (http://www.khanacademy.org/science/healthcare-and-medicine) for health and medicine content or (http://www.khanacademy.org/test-prep/mcat) for MCAT related content. These videos do not provide medical advice and are for informational purposes only. The videos are not intended to
From playlist Chemical processes | MCAT | Khan Academy
Where Does Complexity Come From? (Big Picture Ep. 3/5)
This video is about the difference between complexity and entropy, and how complex things like life can arise from disorder. Thanks to Google Making and Science for supporting this series, and to Sean Carroll for collaborating on it! His book can be found here: http://www.penguinrandomhous
From playlist MinutePhysics
Physics - Thermodynamics: (1 of 5) Entropy - Basic Definition
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain and help you understand entropy.
From playlist PHYSICS - THERMODYNAMICS
Optimal Mixing of Glauber Dynamics: Entropy Factorization via High-Dimensional Expan - Zongchen Chen
Computer Science/Discrete Mathematics Seminar I Topic: Optimal Mixing of Glauber Dynamics: Entropy Factorization via High-Dimensional Expansion Speaker: Zongchen Chen Affiliation: Georgia Institute of Technology Date: February 22, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics