Search results for Statistical Physics

References
Reinhard Diestel, Universität Hamburg
Book:

Tangles

Published online:

16 May 2024

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23 May 2024, pp 273-276
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8 - Tangle theorems
from Part III - The Mathematics of Tangles
Reinhard Diestel, Universität Hamburg
Book:

Tangles

Published online:

16 May 2024

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23 May 2024, pp 99-110
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Dedication
John Toner, University of Oregon
Book:

The Physics of Flocking

Published online:

16 May 2024

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23 May 2024, pp v-vi
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4 - Formulating the Hydrodynamic Model for Flocking
John Toner, University of Oregon
Book:

The Physics of Flocking

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16 May 2024

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23 May 2024, pp 88-116
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Summary

This chapter uses the ideas of hydrodynamics introduced in the last chapter to formulate the hydrodynamic theory of the flocking problem (i.e., the “Toner–Tu” equations).

Frontmatter
John Toner, University of Oregon
Book:

The Physics of Flocking

Published online:

16 May 2024

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23 May 2024, pp i-iv
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7 - Heuristic Argument for the Canonical Exponents (“20-20 Hindsight Hand-Waving Argument”)
John Toner, University of Oregon
Book:

The Physics of Flocking

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16 May 2024

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23 May 2024, pp 135-139
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Summary

This chapter “derives” the scaling laws found in the previous chapter for incompressible flocks, using a simple heuristic argument which gives some physical insight into the mechanism, and its essentially nonequilibrium nature.

2 - Dynamical Derivation (and a More Conventional One) of the Mermin–Wagner–Hohenberg Theorem; or, Why We Can’t All Point the Same Way
John Toner, University of Oregon
Book:

The Physics of Flocking

Published online:

16 May 2024

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23 May 2024, pp 9-29
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Summary

I present a purely dynamical derivation of the Mermin–Wagner–Hohenberg theorem, and compare it with the standard equilibrium derivation. This also provides an opportunity to introduce diffusion equations and gradient expansions, both of which play a large role in what follows.

Index
John Toner, University of Oregon
Book:

The Physics of Flocking

Published online:

16 May 2024

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23 May 2024, pp 238-242
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Part I - Tangles
Reinhard Diestel, Universität Hamburg
Book:

Tangles

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16 May 2024

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23 May 2024, pp 1-2
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9 - Order functions
from Part III - The Mathematics of Tangles
Reinhard Diestel, Universität Hamburg
Book:

Tangles

Published online:

16 May 2024

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23 May 2024, pp 111-156
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6 - Incompressible Polar Active Fluids in the Moving Phase in Dimensions d > 2: the “Canonical” Exponents
John Toner, University of Oregon
Book:

The Physics of Flocking

Published online:

16 May 2024

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23 May 2024, pp 121-134
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Summary

This chapter deals with incompressible flocks in spatial dimensions d > 2, for which the dynamical renormalization group yields exact scaling laws.

Preface
Reinhard Diestel, Universität Hamburg
Book:

Tangles

Published online:

16 May 2024

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23 May 2024, pp ix-xiv
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11 - Algorithms
from Part III - The Mathematics of Tangles
Reinhard Diestel, Universität Hamburg
Book:

Tangles

Published online:

16 May 2024

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23 May 2024, pp 169-184
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7 - The formal setup for tangles
from Part III - The Mathematics of Tangles
Reinhard Diestel, Universität Hamburg
Book:

Tangles

Published online:

16 May 2024

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23 May 2024, pp 75-98
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3 - The Dynamical Renormalization Group; or, WhyWe Can Do Physics, Illustrated by the KPZ Equation
John Toner, University of Oregon
Book:

The Physics of Flocking

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16 May 2024

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23 May 2024, pp 30-87
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Summary

I introduce, and describe in detail, the dynamical renormalization group, using the KPZ equation as an example. In addition to spelling out the mechanics of the technique in great detail, I also emphasize its philosophical importance, as the answer to Einstein’s famous question “Why is the universe intelligible?” and its role as a guide to the formulation of hydrodynamic theories.

14 - Applying tangles in data science
from Part IV - Applying Tangles
Reinhard Diestel, Universität Hamburg
Book:

Tangles

Published online:

16 May 2024

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23 May 2024, pp 215-250
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Symbol index
Reinhard Diestel, Universität Hamburg
Book:

Tangles

Published online:

16 May 2024

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23 May 2024, pp 283-284
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5 - Examples from the social sciences
from Part II - Tangles in Different Contexts
Reinhard Diestel, Universität Hamburg
Book:

Tangles

Published online:

16 May 2024

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23 May 2024, pp 41-52
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Frontmatter
Reinhard Diestel, Universität Hamburg
Book:

Tangles

Published online:

16 May 2024

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23 May 2024, pp i-iv
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Contents
Reinhard Diestel, Universität Hamburg
Book:

Tangles

Published online:

16 May 2024

Print publication:

23 May 2024, pp v-viii
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Statistical Physics

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2077 results in Statistical Physics

References

8 - Tangle theorems

Dedication

4 - Formulating the Hydrodynamic Model for Flocking

Summary

Frontmatter

7 - Heuristic Argument for the Canonical Exponents (“20-20 Hindsight Hand-Waving Argument”)

Summary

2 - Dynamical Derivation (and a More Conventional One) of the Mermin–Wagner–Hohenberg Theorem; or, Why We Can’t All Point the Same Way

Summary

Index

Part I - Tangles

9 - Order functions

6 - Incompressible Polar Active Fluids in the Moving Phase in Dimensions d > 2: the “Canonical” Exponents

Summary

Preface

11 - Algorithms

7 - The formal setup for tangles

3 - The Dynamical Renormalization Group; or, WhyWe Can Do Physics, Illustrated by the KPZ Equation

Summary

14 - Applying tangles in data science

Symbol index

5 - Examples from the social sciences

Frontmatter

Contents

Statistical Physics

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2077 results in Statistical Physics

Summary

Summary

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