Non-equilibrium thermodynamics | Statistical mechanics theorems
The fluctuation theorem (FT), which originated from statistical mechanics, deals with the relative probability that the entropy of a system which is currently away from thermodynamic equilibrium (i.e., maximum entropy) will increase or decrease over a given amount of time. While the second law of thermodynamics predicts that the entropy of an isolated system should tend to increase until it reaches equilibrium, it became apparent after the discovery of statistical mechanics that the second law is only a statistical one, suggesting that there should always be some nonzero probability that the entropy of an isolated system might spontaneously decrease; the fluctuation theorem precisely quantifies this probability. (Wikipedia).
Differential Equations | Convolution: Definition and Examples
We give a definition as well as a few examples of the convolution of two functions. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Differential Equations
Convolution Theorem: Fourier Transforms
Free ebook https://bookboon.com/en/partial-differential-equations-ebook Statement and proof of the convolution theorem for Fourier transforms. Such ideas are very important in the solution of partial differential equations.
From playlist Partial differential equations
Concavity and Parametric Equations Example
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Concavity and Parametric Equations Example. We find the open t-intervals on which the graph of the parametric equations is concave upward and concave downward.
From playlist Calculus
Learn how to find the points of inflection for an equation
👉 Learn how to find the points of inflection of a function given the equation or the graph of the function. The points of inflection of a function are the points where the graph of the function changes its concavity. The points of inflection can be found from the equation of a function by
From playlist Find the Points of Inflection of a Function
Example of Convolution Theorem: f(t)=t, g(t)=sin(t)
ODEs: Verify the Convolution Theorem for the Laplace transform when f(t) = t and g(t) = sin(t). The Convolution Theorem states that L(f*g) = L(f) . L(g); that is, the Laplace transform of a convolution is the product of the Laplace transforms.
From playlist Differential Equations
Ex 1: Solve a Linear Inequality Given Function Notation Using a Graph
Solving a linear inequality given using function notation by analyzing the graphs of two functions. http://mathispower4u.com
From playlist Linear Inequalities in One Variable Solving Linear Inequalities
Proof of the Convolution Theorem
Proof of the Convolution Theorem, The Laplace Transform of a convolution is the product of the Laplace Transforms, changing order of the double integral, proving the convolution theorem, www.blackpenredpen.com
From playlist Convolution & Laplace Transform (Nagle Sect7.7)
Proof - the Derivative of a Constant Times a Function: d/dx[cf(x)]
This video proves the derivative of a constant times a function equals the constant time the derivative of f(x). http://mathispower4u.com
From playlist Calculus Proofs
Given a graph of f' learn to find the points of inflection
👉 Learn how to find the points of inflection of a function given the equation or the graph of the function. The points of inflection of a function are the points where the graph of the function changes its concavity. The points of inflection can be found from the equation of a function by
From playlist Find the Points of Inflection of a Function
A Fluctuation Theorem for Momentum Transfert... - Wirth - Workshop 1 - CEB T3 2019
Wirth (LEGI, CNRS) / 09.10.2019 A Fluctuation Theorem for Momentum Transfert at the Air-Sea Interface at the Mesoscale ---------------------------------- Vous pouvez nous rejoindre sur les réseaux sociaux pour suivre nos actualités. Facebook : https://www.facebook.com/InstitutHenriPo
From playlist 2019 - T3 - The Mathematics of Climate and the Environment
Probability 101e: Stories that relate central limit theorem to physics and biology
(C) 2012 David Liao lookatphysics.com CC-BY-SA (Replaces previous unscripted draft) Physics: Taylor expansion in the context of tightly-controlled, narrow instrument noise Biology: Logarithm of product of fluctuating factors: Log-normal distributions
From playlist Probability, statistics, and stochastic processes
Large deviations and stochastic stability by Jorge Kurchan
Large deviation theory in statistical physics: Recent advances and future challenges DATE: 14 August 2017 to 13 October 2017 VENUE: Madhava Lecture Hall, ICTS, Bengaluru Large deviation theory made its way into statistical physics as a mathematical framework for studying equilibrium syst
From playlist Large deviation theory in statistical physics: Recent advances and future challenges
Central Limit Theorems for linear statistics for biorthogonal ensembles - Maurice Duits
Maurice Duits SU April 2, 2014 For more videos, visit http://video.ias.edu
From playlist Mathematics
Aleksi Saarela : k-abelian complexity and fluctuation
Abstract : Words u and v are defined to be k-abelian equivalent if every factor of length at most k appears as many times in u as in v. The k-abelian complexity function of an infinite word can then be defined so that it maps a number n to the number of k-abelian equivalence classes of len
From playlist Combinatorics
Wilhem Stannat - Fluctuation limits for mean-field interacting nonlinear Hawkes processes
---------------------------------- Institut Henri Poincaré, 11 rue Pierre et Marie Curie, 75005 PARIS http://www.ihp.fr/ Rejoingez les réseaux sociaux de l'IHP pour être au courant de nos actualités : - Facebook : https://www.facebook.com/InstitutHenriPoincare/ - Twitter : https://twitter
From playlist Workshop "Workshop on Mathematical Modeling and Statistical Analysis in Neuroscience" - January 31st - February 4th, 2022
Counting Statistics of Energy Transport Across Squeezed Thermal Reservoirs by Hari Kumar
ICTS In-house 2022 Organizers: Chandramouli, Omkar, Priyadarshi, Tuneer Date and Time: 20th to 22nd April, 2022 Venue: Ramanujan Hall inhouse@icts.res.in An exclusive three-day event to exchange ideas and research topics amongst members of ICTS.
From playlist ICTS In-house 2022
Entropy production and linear response in active Brownian particles by Debasish Chaudhuri
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
Lec 22 - Phys 237: Gravitational Waves with Kip Thorne
Watch the rest of the lectures on http://www.cosmolearning.com/courses/overview-of-gravitational-wave-science-400/ Redistributed with permission. This video is taken from a 2002 Caltech on-line course on "Gravitational Waves", organized and designed by Kip S. Thorne, Mihai Bondarescu and
From playlist Caltech: Gravitational Waves with Kip Thorne - CosmoLearning.com Physics
Fluctuation theorem for entropy production of a partial by Sanjib Sabhpandit
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
Math 139 Fourier Analysis Lecture 05: Convolutions and Approximation of the Identity
Convolutions and Good Kernels. Definition of convolution. Convolution with the n-th Dirichlet kernel yields the n-th partial sum of the Fourier series. Basic properties of convolution; continuity of the convolution of integrable functions.
From playlist Course 8: Fourier Analysis