Global order parameters and Antonoff’s rule in multicomponent regular and related solutions

In this paper, we explore a model of collective behavior using EUGENE, an algorithm for automated discovery of so-called “dynamical kinds”. Two systems are of the same dynamical kind if their underlying causal dynamics are similar, as defined using dynamical symmetry. We apply EUGENE to simulation data from a model capable of generating a range of qualitatively different collective behaviors, from aligned motion to circular milling. These behaviors are measured using both global and local order parameters, and this data is analyzed with EUGENE. We find that EUGENE is capable of differentiating between these systems when global order parameters are used, and can only identify more coarse characteristics when local order parameters are considered.

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Global order parameters for particle distributions on the sphere

Physics of Fluids ◽

10.1063/5.0049089 ◽

2021 ◽

Vol 33 (4) ◽

pp. 047109

Author(s):

A. Božič ◽

S. Franzini ◽

S. Čopar

Keyword(s):

Order Parameters ◽

Global Order ◽

Particle Distributions

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Constructing Global Order

10.1017/9781316756768 ◽

2018 ◽

Cited By ~ 34

Author(s):

Amitav Acharya

Keyword(s):

Global Order

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Scaling properties of coexistence curves for polymer solutions in terms of different order parameters

Journal de Physique ◽

10.1051/jphys:0198900500120157300 ◽

1989 ◽

Vol 50 (12) ◽

pp. 1573-1579 ◽

Cited By ~ 5

Author(s):

Yu. B. Mel'nichenko ◽

V.V. Klepko

Keyword(s):

Polymer Solutions ◽

Order Parameters ◽

Scaling Properties ◽

Different Order

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SIDECHAIN ORDER PARAMETERS VIA 2H NMR IN POLYPEPTIDE LIQUID CRYSTALS

Le Journal de Physique Colloques ◽

10.1051/jphyscol:1979393 ◽

1979 ◽

Vol 40 (C3) ◽

pp. C3-471-C3-474 ◽

Cited By ~ 4

Author(s):

E. T. SAMULSKI

Keyword(s):

Liquid Crystals ◽

Order Parameters ◽

2H Nmr

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Phase transitions with coupled order parameters

Uspekhi Fizicheskih Nauk ◽

10.3367/ufnr.0133.198101d.0103 ◽

1981 ◽

Vol 133 (1) ◽

pp. 103 ◽

Cited By ~ 9

Author(s):

M.A. Anisimov ◽

E.E. Gorodetskii ◽

V.M. Zaprudskii

Keyword(s):

Phase Transitions ◽

Order Parameters

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The Unquiet Frontier

10.23943/princeton/9780691178264.001.0001 ◽

2017 ◽

Author(s):

Jakub J. Grygiel ◽

A. Wess Mitchell ◽

Jakub J. Grygiel ◽

A. Wess Mitchell

Keyword(s):

United States ◽

The United States ◽

Great Powers ◽

Global Order ◽

American Power ◽

Alliance Networks ◽

Effective Strategies ◽

The World ◽

The Baltic ◽

Critical Regions

From the Baltic to the South China Sea, newly assertive authoritarian states sense an opportunity to resurrect old empires or build new ones at America's expense. Hoping that U.S. decline is real, nations such as Russia, Iran, and China are testing Washington's resolve by targeting vulnerable allies at the frontiers of American power. This book explains why the United States needs a new grand strategy that uses strong frontier alliance networks to raise the costs of military aggression in the new century. The book describes the aggressive methods which rival nations are using to test American power in strategically critical regions throughout the world. It shows how rising and revisionist powers are putting pressure on our frontier allies—countries like Poland, Israel, and Taiwan—to gauge our leaders' commitment to upholding the American-led global order. To cope with these dangerous dynamics, nervous U.S. allies are diversifying their national-security “menu cards” by beefing up their militaries or even aligning with their aggressors. The book reveals how numerous would-be great powers use an arsenal of asymmetric techniques to probe and sift American strength across several regions simultaneously, and how rivals and allies alike are learning from America's management of increasingly interlinked global crises to hone effective strategies of their own. The book demonstrates why the United States must strengthen the international order that has provided greater benefits to the world than any in history.

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