Markov models

Dynamics of Markovian particles

Dynamics of Markovian particles (DMP) is the basis of a theory for kinetics of particles in open . It can be looked upon as an application of the notion of stochastic process conceived as a physical entity; e.g. the particle moves because there is a transition probability acting on it. Two particular features of DMP might be noticed: (1) an ergodic-like relation between the and the corresponding steady state, and (2) the classic notion of geometric volume appears nowhere (e.g. a concept such as flow of "substance" is not expressed as liters per time unit but as number of particles per time unit). Although primitive, DMP has been applied for solving a classic paradox of the absorption of mercury by fish and by mollusks. The theory has also been applied for a purely probabilistic derivation of the fundamental physical principle: conservation of mass; this might be looked upon as a contribution to the old and ongoing discussion of the relation between physics and probability theory. (Wikipedia).

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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

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Interacting particles with spins

This simulation is a first step towards systems of interacting particles that have a rotational degree of freedom. Here each particle carries an angle, or "spin", indicated by a little dash. The particles interact with a Lennard-Jones potential, which determines the evolution of their posi

From playlist Molecular dynamics

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Markov Chains: n-step Transition Matrix | Part - 3

Let's understand Markov chains and its properties. In this video, I've discussed the higher-order transition matrix and how they are related to the equilibrium state. #markovchain #datascience #statistics For more videos please subscribe - http://bit.ly/normalizedNERD Markov Chain ser

From playlist Markov Chains Clearly Explained!

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Thermodynamics 5a - Statistical Mechanics I

Previously we've seen that our "colliding billiard balls" model for a monatomic gas has chaotic dynamics. Therefore, it is hopeless to try and describe the exact dynamical evolution of such a system. However, we can turn this to our advantage by treating the system as so unpredictable that

From playlist Thermodynamics

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Diffusion from deterministic dynamics - Antti Kupiainen

Antti Kupiainen University of Helsinki; Member, School of Mathematics October 24, 2013 I discuss a renormalization group method to derive diffusion from time reversible quantum or classical microscopic dynamics. I start with the problem of return to equilibrium and derivation of Brownian m

From playlist Mathematics

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Diffusion from deterministic dynamics - Antti Kupiainen

Antti Kupiainen University of Helsinki; Member, School of Mathematics October 24, 2013 I discuss a renormalization group method to derive diffusion from time reversible quantum or classical microscopic dynamics. I start with the problem of return to equilibrium and derivation of Brownian m

From playlist Mathematics

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A quantum Sinai billiard, phase evolution

Simulation of Schrödinger's equation for a quantum particle in a Sinai billiard. Luminosity corresponds to the probability of finding the quantum particle (modulus of the wave function squared), and the color's hue represents the phase (argument) of the wave function. The initial state is

From playlist Schrödinger's equation

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A quantum particle in a constant magnetic field

This is a first attempt at simulating a quantum particle in a magnetic field. The particle moves in a plane, and the magnetic field is constant, and perpendicular to the plane. The vector potential used in Schrödinger's equation is proportional to the vector (y, -x, 0). I hope to be able t

From playlist Schrödinger's equation

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Probabilistic methods in statistical physics for extreme statistics... - 18 September 2018

http://crm.sns.it/event/420/ Probabilistic methods in statistical physics for extreme statistics and rare events Partially supported by UFI (Université Franco-Italienne) In this first introductory workshop, we will present recent advances in analysis, probability of rare events, search p

From playlist Centro di Ricerca Matematica Ennio De Giorgi

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Lennard-Jones particles in increasing gravity

Ever wondered what physics would look like in a spaceship that keeps accelerating to warp 27, or on the surface of a collapsing neutron star? This #short simulation shows 1152 particles interacting with a Lennard-Jones potential and confined to a box, subjected to a linearly increasing gra

From playlist Molecular dynamics

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Current fluctuations and dynamical phase transitions by Rosemary J Harris

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

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Dissipative Quantum Phase Transitions in Interacting Light-Matter Systems by Marco Schiro

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

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Stochastic processes by VijayKumar Krishnamurthy

Winter School on Quantitative Systems Biology DATE: 04 December 2017 to 22 December 2017 VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru The International Centre for Theoretical Sciences (ICTS) and the Abdus Salam International Centre for Theoretical Physics (ICTP), are organizing a Wint

From playlist Winter School on Quantitative Systems Biology

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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

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The Role of Symmetry in Phase Transitions - Tom Spencer

Tom Spencer Professor, School of Mathematics, Institute for Advanced Study January 23, 2012 This talk will review some theorems and conjectures about phase transitions of interacting spin systems in statistical mechanics. A phase transition may be thought of as a change in a typical spin c

From playlist Mathematics

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Bálint Tóth - Invariance principle for random Lorentz (type) gasbeyond kinetics limit

Bálint Tóth (University of Bristol & Alfréd Rényi Institute of Mathematics) Invariance principle for random Lorentz gas beyond the Boltzmann-Grad limit. I will present a survey of invariance principles for the Lorentz gas and some related models, in a scaling regime going beyond the Bolt

From playlist Large-scale limits of interacting particle systems

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Kinetic theory for the low-density Lorentz gas by Jens Marklof

PROGRAM SMOOTH AND HOMOGENEOUS DYNAMICS ORGANIZERS: Anish Ghosh, Stefano Luzzatto and Marcelo Viana DATE: 23 September 2019 to 04 October 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Ergodic theory has its origins in the the work of L. Boltzmann on the kinetic theory of gases.

From playlist Smooth And Homogeneous Dynamics

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Read-out of Quasi-periodic Systems using Qubits by Prasanna Venkatesh

PROGRAM NON-HERMITIAN PHYSICS (ONLINE) ORGANIZERS: Manas Kulkarni (ICTS, India) and Bhabani Prasad Mandal (Banaras Hindu University, India) DATE: 22 March 2021 to 26 March 2021 VENUE: Online Non-Hermitian Systems / Open Quantum Systems are not only of fundamental interest in physics a

From playlist Non-Hermitian Physics (ONLINE)

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Young's double-slit experiment for a quantum particle, phase representation

Simulation of Schrödinger's equation for a quantum particle moving towards, and partly through, a double slit. This is the same evolution as in the video https://youtu.be/K-YDj2odL8I but with a different color scheme. Luminosity corresponds to the probability of finding the quantum particl

From playlist Schrödinger's equation

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Thermodynamic uncertainty relation in quantum transport by Bijay Kumar Agarwalla

DISCUSSION MEETING INDIAN STATISTICAL PHYSICS COMMUNITY MEETING ORGANIZERS Ranjini Bandyopadhyay, Abhishek Dhar, Kavita Jain, Rahul Pandit, Sanjib Sabhapandit, Samriddhi Sankar Ray and Prerna Sharma DATE: 14 February 2019 to 16 February 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalo

From playlist Indian Statistical Physics Community Meeting 2019

Related pages

Steady state | Probability theory | Probability | Stochastic process | Volume | Conservation of mass