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Free Energy Sequential Monte Carlo, Application to Mixture Modelling *

Nicolas Chopin and Pierre Jacob

in Bayesian Statistics 9

Published in print:
2011
Published Online:
January 2012
ISBN:
9780199694587
eISBN:
9780191731921
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199694587.003.0003
Subject:
Mathematics, Probability / Statistics

We introduce a new class of Sequential Monte Carlo (SMC) methods, which we call free energy SMC. This class is inspired by free energy methods, which originate from physics, and where one samples ... More


Free Energy and Chemical Thermodynamics

Daniel V. Schroeder

in An Introduction to Thermal Physics

Published in print:
2021
Published Online:
March 2021
ISBN:
9780192895547
eISBN:
9780191915000
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780192895547.003.0005
Subject:
Physics, Theoretical, Computational, and Statistical Physics

When a system is held at constant temperature (and sometimes constant pressure) through interactions with its surroundings, its thermodynamic behavior is governed by a combination of energy and ... More


Free-Energy Calculations

Vasily Bulatov and Wei Cai

in Computer Simulations of Dislocations

Published in print:
2006
Published Online:
November 2020
ISBN:
9780198526148
eISBN:
9780191916618
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198526148.003.0010
Subject:
Computer Science, Software Engineering

Free energy is of central importance for understanding the properties of physical systems at finite temperatures. While in the zero temperature limit the system should evolve to a state of minimum ... More


Free energies

James P. Sethna

in Statistical Mechanics: Entropy, Order Parameters, and Complexity: Second Edition

Published in print:
2021
Published Online:
April 2021
ISBN:
9780198865247
eISBN:
9780191897610
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198865247.003.0006
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Free energies ignore most of a system, to provide the emergent statistical ensemble describing things we care about. Free energies can ignore the external world. The cost of borrowing energy from the ... More


Balance laws for small deformations

Lallit Anand and Sanjay Govindjee

in Continuum Mechanics of Solids

Published in print:
2020
Published Online:
September 2020
ISBN:
9780198864721
eISBN:
9780191896767
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198864721.003.0006
Subject:
Physics, Condensed Matter Physics / Materials

For solids it is often a good approximation to assume that the displacement and displacement gradient are small everywhere in the body. In this setting the basic laws for balance of mass, the ... More


Free energy

Geoffrey Brooker

in Essays in Physics: Thirty-two thoughtful essays on topics in undergraduate-level physics

Published in print:
2021
Published Online:
September 2021
ISBN:
9780198857242
eISBN:
9780191890284
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198857242.003.0021
Subject:
Physics, Condensed Matter Physics / Materials, Theoretical, Computational, and Statistical Physics

Free energy is the energy of a sample in an “open system”, where the sample can exchange energy with its environment, as when it is in equilibrium while held at controlled temperature or controlled ... More


Predictive Processing

Wanja Wiese

in Experienced Wholeness: Integrating Insights from Gestalt Theory, Cognitive Neuroscience, and Predictive Processing

Published in print:
2018
Published Online:
September 2018
ISBN:
9780262036993
eISBN:
9780262343275
Item type:
chapter
Publisher:
The MIT Press
DOI:
10.7551/mitpress/9780262036993.003.0007
Subject:
Philosophy, Philosophy of Mind

This chapter provides an introduction to predictive processing (PP), with a focus on its relation to Bayesian inference and the more general framework provided by Karl Friston’s free-energy principle ... More


An Introduction to Thermal Physics

Daniel V. Schroeder

Published in print:
2021
Published Online:
March 2021
ISBN:
9780192895547
eISBN:
9780191915000
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780192895547.001.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Thermal physics deals with collections of large numbers of particles—typically 1023 or so. Examples include the air in a balloon, the water in a lake, the electrons in a chunk of metal, and the ... More


Interactions between biological membranes: theoretical concepts

M. Kanduč, A. Schlaich, E. Schneck, and R. R. Netz

in Soft Interfaces: Lecture Notes of the Les Houches Summer School: Volume 98, July 2012

Published in print:
2017
Published Online:
November 2017
ISBN:
9780198789352
eISBN:
9780191831201
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198789352.003.0012
Subject:
Physics, Soft Matter / Biological Physics

In this chapter we review the various types of generic (non-specific) forces acting between lipid membranes in an aqueous environment and discuss the underlying mechanisms, with particular focus on ... More


Energy of a magnetic body: −m⋅δB or +B⋅δm?

Geoffrey Brooker

in Essays in Physics: Thirty-two thoughtful essays on topics in undergraduate-level physics

Published in print:
2021
Published Online:
September 2021
ISBN:
9780198857242
eISBN:
9780191890284
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198857242.003.0022
Subject:
Physics, Condensed Matter Physics / Materials, Theoretical, Computational, and Statistical Physics

“Energy of a magnetic body: -m dB or +B dm?” addresses a fraught question: what is the free-energy change when a B-field applied to a magnetic body (magnetic moment m) is changed? We define what is ... More


Kinetic Monte Carlo Method

Vasily Bulatov and Wei Cai

in Computer Simulations of Dislocations

Published in print:
2006
Published Online:
November 2020
ISBN:
9780198526148
eISBN:
9780191916618
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198526148.003.0014
Subject:
Computer Science, Software Engineering

The PN model discussed in the preceding chapter is a continuum approach that requires some atomistic input to account for non-linear interactions in the dislocation core. In this chapter, we ... More


When is a material stable?

Adrian P Sutton

in Concepts of Materials Science

Published in print:
2021
Published Online:
September 2021
ISBN:
9780192846839
eISBN:
9780191938764
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780192846839.003.0001
Subject:
Physics, Condensed Matter Physics / Materials, Theoretical, Computational, and Statistical Physics

This chapter is an introduction to classical thermodynamics that does not assume any knowledge of the subject. The significance of thermodynamic equilibrium in materials is discussed keeping in mind ... More


Chemical Thermodynamics

Christopher O. Oriakhi

in Chemistry in Quantitative Language: Fundamentals of General Chemistry Calculations

Published in print:
2021
Published Online:
November 2021
ISBN:
9780198867784
eISBN:
9780191904509
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198867784.003.0021
Subject:
Chemistry, Physical Chemistry, Quantum and Theoretical Chemistry

Chemical Thermodynamics discusses the fundamental laws of thermodynamics along with their relationships to heat, work, enthalpy, entropy, and temperature. Predicting the direction of a spontaneous ... More


Phase diagrams

Adrian P Sutton

in Concepts of Materials Science

Published in print:
2021
Published Online:
September 2021
ISBN:
9780192846839
eISBN:
9780191938764
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780192846839.003.0002
Subject:
Physics, Condensed Matter Physics / Materials, Theoretical, Computational, and Statistical Physics

Temperature-composition phase diagrams are introduced as maps of the regions of stability of binary systems at constant pressure, usually atmospheric pressure at sea level. Their construction is ... More


Introduction

Craig M. Bethke

in Geochemical Reaction Modeling: Concepts and Applications

Published in print:
1996
Published Online:
November 2020
ISBN:
9780195094756
eISBN:
9780197560778
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780195094756.003.0005
Subject:
Earth Sciences and Geography, Geochemistry

As geochemists, we frequently need to describe the chemical states of natural waters, including how dissolved mass is distributed among aqueous species, and to understand how such waters will react ... More


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