Brownian dynamics (BD) can be used to describe the motion of molecules for example in molecular simulations or in reality. It is a simplified version of Langevin dynamics and corresponds to the limit where no average acceleration takes place. This approximation can also be described as 'overdamped' Langevin dynamics, or as Langevin dynamics without inertia. In Langevin dynamics, the equation of motion is where * is a friction coefficient, * is the particle interaction potential, * is the gradient operator such that is the force calculated from the particle interaction potentials * the dot is a time derivative such that is the velocity, and is the acceleration * is the temperature * is Boltzmann's constant * is a delta-correlated stationary Gaussian process with zero-mean, satisfying In Brownian dynamics, the term is neglected, and the sum of these terms is zero. Using the Einstein relation, , it is often convenient to write the equation as, (Wikipedia).
AWESOME Brownian motion (with explanation)!
Brownian motion is the random motion of particles suspended in a fluid resulting from their collision with the fast-moving molecules in the fluid. This pattern of motion typically alternates random fluctuations in a particle's position inside a fluid subdomain with a relocation to anoth
From playlist THERMODYNAMICS
Courses - R. SUN "Brownian web, Brownian net, and their universality"
The Brownian web is the collection of one-dimensional coalescing Brownian motions starting from every point in space-time. Originally conceived by Arratia in the context of the one-dimensional voter model and its dual coalescing random walks, the Brownian web has since been shown to arise
From playlist T1-2015 : Disordered systems, random spatial processes and some applications
Dynamics : An overview of the cause of mechanics
Dynamics is a subset of mechanics, which is the study of motion. Whereas kinetics studies that motion itself, dynamics is concerned about the CAUSES of motion. In particular, it involves the concepts of force, momentum and energy. This video gives an overview of what dynamics is, and is u
From playlist Dynamics
The Brownian motion as the limit of a deterministic system of hard-spheres - Thierry Bodineau
The Brownian motion as the limit of a deterministic system of hard-spheres - Thierry Bodineau Thierry Bodineau École Polytechnique March 12, 2014 We provide a derivation of the brownian motion as the hydrodynamic limit of a diluted deterministic system of hard-spheres (in the Boltzmann-Gr
From playlist Mathematics
Brownian motion. Evidence for the kinetic theory of gases demonstrated & explained: from fizzics.org
Notes on Brownian motion and gases can be copied from here: https://www.fizzics.org/kinetic-theory-of-gases-brownian-motion-notes-and-video/ As the title; the background and significance of the discovery is described, the experimental set up for observation is demonstrated, the motion show
From playlist Gases and kinetic theory
What Is Brownian Motion? | Properties of Matter | Chemistry | FuseSchool
What Is Brownian Motion? | Properties of Matter | Chemistry | FuseSchool What exactly is Brownian Motion? Learn it all by watching this video! SUPPORT US ON PATREON https://www.patreon.com/fuseschool SUBSCRIBE to the FuseSchool YouTube channel for many more educational videos. Our tea
From playlist CHEMISTRY
Stochastic Model Reduction in Climate Science by Georg Gottwald (Part 6)
ORGANIZERS: Amit Apte, Soumitro Banerjee, Pranay Goel, Partha Guha, Neelima Gupte, Govindan Rangarajan and Somdatta Sinha DATES: Monday 23 May, 2016 - Saturday 23 Jul, 2016 VENUE: Madhava Lecture Hall, ICTS, Bangalore This program is first-of-its-kind in India with a specific focus to p
From playlist Summer Research Program on Dynamics of Complex Systems
Universality of Random Matrices, Dyson Brownian Motion, and Quantum Unique Ergodicity - H.T. Yau
H. T. Yau Harvard University September 27, 2013 More videos on http://video.ias.edu
From playlist Dreams of Earth and Sky
David Kelly: Fast slow systems with chaotic noise
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Probability and Statistics
I. Gentil - Le problème de Schrödinger, un point de vue analytique (Part 1)
Ce cours est divisé en trois parties, le but étant de comprendre le problème de Schrödinger avec un point de vue analytique. Le premier cours porte sur le problème de Schrödinger. C’est un problème de minimisation de l’entropie sur un ensemble de mesures de probabilités sur les t
From playlist Rencontres du GDR AFHP 2019
Sequential Stopping for Parallel Monte Carlo by Peter W Glynn
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
Martin Hairer (DDMCS@Turing): Universality classes for 1+1 dimensional systems
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
Stochastic Dynamics (Lecture 1) by Sudipta Kumar Sinha
PROGRAM TIPPING POINTS IN COMPLEX SYSTEMS (HYBRID) ORGANIZERS: Partha Sharathi Dutta (IIT Ropar, India), Vishwesha Guttal (IISc, India), Mohit Kumar Jolly (IISc, India) and Sudipta Kumar Sinha (IIT Ropar, India) DATE: 19 September 2022 to 30 September 2022 VENUE: Ramanujan Lecture Hall an
From playlist TIPPING POINTS IN COMPLEX SYSTEMS (HYBRID, 2022)
The appearance of noise like behaviour (...) systems - CEB T2 2017 - Liverani - 1/3
Carlangelo Liverani (Univ. Roma Tor Vergata) - 29/05/17 The appearance of noise like behaviour in deterministic dynamical systems I will discuss how noise can arise in deterministic systems with strong instability with respect to the initial conditions. Starting with a discussion of the C
From playlist 2017 - T2 - Stochastic Dynamics out of Equilibrium - CEB Trimester
Extracting Eersatile Active Particle Dynamics from a Self-Propelled Programmable... by Nitin Kumar
DISCUSSION MEETING 8TH INDIAN STATISTICAL PHYSICS COMMUNITY MEETING ORGANIZERS: Ranjini Bandyopadhyay (RRI, India), Abhishek Dhar (ICTS-TIFR, India), Kavita Jain (JNCASR, India), Rahul Pandit (IISc, India), Samriddhi Sankar Ray (ICTS-TIFR, India), Sanjib Sabhapandit (RRI, India) and Prer
From playlist 8th Indian Statistical Physics Community Meeting-ispcm 2023
Dynamical phase transitions in Markov processes by Hugo Touchette
COLLOQUIUM DYNAMICAL PHASE TRANSITIONS IN MARKOV PROCESSES SPEAKER: Hugo Touchette (Stellenbosch University, South Africa) DATE: Mon, 15 July 2019, 15:00 to 16:00 VENUE:Emmy Noether Seminar Room, ICTS Campus, Bangalore ABSTRACT Dynamical phase transitions (DPTs) are phase transitio
From playlist ICTS Colloquia
Hamiltonian Mechanics in 10 Minutes
In this video I go over the basics of Hamiltonian mechanics. It is the first video of an upcoming series on a full semester university level Hamiltonian mechanics series. Corrections -4:33 the lagrangian should have a minus sign between the first two terms, not a plus.
From playlist Summer of Math Exposition 2 videos