Non-equilibrium thermodynamics
Energy dissipation and entropy production extremal principles are ideas developed within non-equilibrium thermodynamics that attempt to predict the likely steady states and dynamical structures that a physical system might show. The search for extremum principles for non-equilibrium thermodynamics follows their successful use in other branches of physics. According to Kondepudi (2008), and to Grandy (2008), there is no general rule that provides an extremum principle that governs the evolution of a far-from-equilibrium system to a steady state. According to Glansdorff and Prigogine (1971, page 16), irreversible processes usually are not governed by global extremal principles because description of their evolution requires differential equations which are not self-adjoint, but local extremal principles can be used for local solutions. Lebon Jou and Casas-Vásquez (2008) state that "In non-equilibrium ... it is generally not possible to construct thermodynamic potentials depending on the whole set of variables". Šilhavý (1997) offers the opinion that "... the extremum principles of thermodynamics ... do not have any counterpart for [non-equilibrium] steady states (despite many claims in the literature)." It follows that any general extremal principle for a non-equilibrium problem will need to refer in some detail to the constraints that are specific for the structure of the system considered in the problem. (Wikipedia).
Differential Equations | Undetermined Coefficients for a System of DEs
We use the method of undetermined coefficients to solve a nonhomogeneous system of first order linear differential equations. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Systems of Differential Equations
Prove the Form of the General Solution to a Linear Second Order Nonhomogeneous DE
This video explains the form of the general solution to linear second order nonhomogeneous differential equations. Site: http://mathispower4u.com
From playlist Linear Second Order Nonhomogeneous Differential Equations: Method of Undetermined Coefficients
Ex 1: Method of Undetermined Coefficients to Find the General Solution (exponential)
This video provides an example of how to find the general solution to a linear second order nonhomogeneous differential equation using the method of undetermined coefficients. Site: http://mathispower4u.com
From playlist Linear Second Order Nonhomogeneous Differential Equations: Method of Undetermined Coefficients
Find a Particular Solution to a Nonhomgeneous DE Using Variation of Parameters
This video explains how to determine a particular solution to a linear second order differential equation using the method of variation of parameters. http://mathispower4u.com
From playlist Linear Second Order Nonhomogeneous Differential Equations: Variation of Parameters
Derive the Variation of Parameters Formula to Solve Linear Second Order Nonhomogeneous DEs
This video derives or proves the variation of parameters formula used to find a particular solution and solve linear second order nonhomogeneous differential equations. Site: http://mathispower4u.com
From playlist Linear Second Order Nonhomogeneous Differential Equations: Variation of Parameters
Find a General Solution to a Nonhomogeneous DE Using Undetermined Coefficients (Sine)
This video explains how to determine the general solution to a linear second order differential equation using the method of undetermined coefficients. http://mathispower4u.com
From playlist Linear Second Order Nonhomogeneous Differential Equations: Method of Undetermined Coefficients
Courses - G. JONA LASINIO “Macroscopic Fluctuation Theory”
Stationary non-equilibrium states describe steady flows through macroscopic systems. Although they represent the simplest generalization of equilibrium states, they exhibit a variety of new phenomena. Within a statistical mechanics approach, these states have been the subject of several th
From playlist T1-2015 : Disordered systems, random spatial processes and some applications
A14 Nonhomegeneous linear systems solved by undetermined coefficients
There are two methods for solving nonhomogeneous systems. The first uses undetermined coefficients.
From playlist A Second Course in Differential Equations
Non-perturbative Models of QGP by Ayan Mukhopadhyay
DISCUSSION MEETING EXTREME NONEQUILIBRIUM QCD (ONLINE) ORGANIZERS: Ayan Mukhopadhyay (IIT Madras) and Sayantan Sharma (IMSc Chennai) DATE & TIME: 05 October 2020 to 09 October 2020 VENUE: Online Understanding quantum gauge theories is one of the remarkable challenges of the millennium
From playlist Extreme Nonequilibrium QCD (Online)
Bruce Turkington (DDMCS@Turing): Models that minimize the rate of information loss
Complex models in all areas of science and engineering, and in the social sciences, must be reduced to a relatively small number of variables for practical computation and accurate prediction. In general, it is difficult to identify and parameterize the crucial features that must be incorp
From playlist Data driven modelling of complex systems
An Exact Solution of the Macroscopic Fluctuation Theory by Kirone Mallick
DISCUSSION MEETING : STATISTICAL PHYSICS OF COMPLEX SYSTEMS ORGANIZERS : Sumedha (NISER, India), Abhishek Dhar (ICTS-TIFR, India), Satya Majumdar (University of Paris-Saclay, France), R Rajesh (IMSc, India), Sanjib Sabhapandit (RRI, India) and Tridib Sadhu (TIFR, India) DATE : 19 December
From playlist Statistical Physics of Complex Systems - 2022
Large deviations in Nonequilibrium (Lecture 5) by Christian Maes
PROGRAM : FLUCTUATIONS IN NONEQUILIBRIUM SYSTEMS: THEORY AND APPLICATIONS ORGANIZERS : Urna Basu and Anupam Kundu DATE : 09 March 2020 to 19 March 2020 VENUE : Madhava Lecture Hall, ICTS, Bangalore THIS PROGRAM HAS BEEN MODIFIED ONLY FOR LOCAL (BANGALORE) PARTICIPANTS DUE TO COVID-19 RI
From playlist Fluctuations in Nonequilibrium Systems: Theory and Applications
Exploiting Coherence in Quantum Thermodynamics by Gabriele De Chiara
PROGRAM CLASSICAL AND QUANTUM TRANSPORT PROCESSES: CURRENT STATE AND FUTURE DIRECTIONS (ONLINE) ORGANIZERS: Alberto Imparato (University of Aarhus, Denmark), Anupam Kundu (ICTS-TIFR, India), Carlos Mejia-Monasterio (Technical University of Madrid, Spain) and Lamberto Rondoni (Polytechni
From playlist Classical and Quantum Transport Processes : Current State and Future Directions (ONLINE)2022
Relaxation theory for perturbed many-body quantum systems by Peter Reimann
PROGRAM THERMALIZATION, MANY BODY LOCALIZATION AND HYDRODYNAMICS ORGANIZERS: Dmitry Abanin, Abhishek Dhar, François Huveneers, Takahiro Sagawa, Keiji Saito, Herbert Spohn and Hal Tasaki DATE : 11 November 2019 to 29 November 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore How do is
From playlist Thermalization, Many Body Localization And Hydrodynamics 2019
Jakob Yngvason - Understanding Entropywithout Probability
Jakob Yngvason (University of Vienna) Understanding Entropy without Probability. In 1856, Rudolf Clausius coined the word entropy as a suitable name for what he had been calling the "transformational content of a body". The new word made it possible to state the second law of thermodynam
From playlist Large-scale limits of interacting particle systems
Differential Equations | Variation of Parameters for a System of DEs
We solve a nonhomogeneous system of linear differential equations using the method of variation of parameters. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Systems of Differential Equations
(Non) equilibrium dynamics: a (broken) symmetry by Camille Aron
Open Quantum Systems DATE: 17 July 2017 to 04 August 2017 VENUE: Ramanujan Lecture Hall, ICTS Bangalore There have been major recent breakthroughs, both experimental and theoretical, in the field of Open Quantum Systems. The aim of this program is to bring together leaders in the Open Q
From playlist Open Quantum Systems
Ex 2: General Solution to a Second Order DE Using Variation of Parameters
This video provides an example of how to determine the general solution to a linear second order nonhomogeneous differential equation. Site: http://mathispower4u.com
From playlist Linear Second Order Nonhomogeneous Differential Equations: Variation of Parameters
Universal features of current fluctuations of driven and active systems by Udo Seifert
Stochastic Thermodynamics, Active Matter and Driven Systems DATE: 07 August 2017 to 11 August 2017 VENUE: Ramanujan Lecture Hall, ICTS Bangalore. Stochastic Thermodynamics and Active Systems are areas in statistical physics which have recently attracted a lot of attention and many intere
From playlist Stochastic Thermodynamics, Active Matter and Driven Systems - 2017
Find a General Solution to a Nonhomogeneous DE Using Undetermined Coefficients (Quadratic)
This video explains how to determine the general solution to a linear second order differential equation using the method of undetermined coefficients. http://mathispower4u.com
From playlist Linear Second Order Nonhomogeneous Differential Equations: Method of Undetermined Coefficients