Invariant percolation properties in some continuum systems

A. Álvarez-Álvarez; I. Balberg; J. P. Fernández-Álvarez

doi:10.1103/physrevb.104.184205

Invariant percolation properties in some continuum systems

Physical Review B ◽

10.1103/physrevb.104.184205 ◽

2021 ◽

Vol 104 (18) ◽

Author(s):

A. Álvarez-Álvarez ◽

I. Balberg ◽

J. P. Fernández-Álvarez

Keyword(s):

Continuum Systems

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Minimal Cellular Automaton Approximations to Continuum Systems

Cellular Automata and Complexity ◽

10.1201/9780429494093-11 ◽

2018 ◽

pp. 329-358

Author(s):

Stephen Wolfram

Keyword(s):

Cellular Automaton ◽

Continuum Systems

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A general higher-order shell theory based on the analytical dynamics of constrained continuum systems

Shell Structures: Theory and Applications Volume 4 ◽

10.1201/9781315166605-40 ◽

2017 ◽

pp. 189-192 ◽

Cited By ~ 1

Author(s):

S.I. Zhavoronok

Keyword(s):

Shell Theory ◽

Higher Order ◽

Analytical Dynamics ◽

Continuum Systems

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Bifurcation of Equilibrium Continuum Systems

Encyclopedia of Continuum Mechanics ◽

10.1007/978-3-662-55771-6_300052 ◽

2020 ◽

pp. 169-169

Keyword(s):

Continuum Systems

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Many-body localization in continuum systems: Two-dimensional bosons

Physical Review A ◽

10.1103/physreva.100.013628 ◽

2019 ◽

Vol 100 (1) ◽

Cited By ~ 2

Author(s):

G. Bertoli ◽

B. L. Altshuler ◽

G. V. Shlyapnikov

Keyword(s):

Two Dimensional ◽

Many Body ◽

Continuum Systems

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Lagrangian formalism for continuum systems and quantization

Introduction to Quantum Field Theory ◽

10.1142/9789813146679_0002 ◽

2017 ◽

pp. 17-37

Keyword(s):

Lagrangian Formalism ◽

Continuum Systems

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Lagrangian formalism for continuum systems and quantization

Introduction to Quantum Field Theory ◽

10.1142/9789814335119_0002 ◽

2011 ◽

pp. 17-37

Keyword(s):

Lagrangian Formalism ◽

Continuum Systems

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Systematic derivation of percolation thresholds in continuum systems

Physical Review A ◽

10.1103/physreva.42.4634 ◽

1990 ◽

Vol 42 (8) ◽

pp. 4634-4638 ◽

Cited By ~ 46

Author(s):

U. Alon ◽

A. Drory ◽

I. Balberg

Keyword(s):

Percolation Thresholds ◽

Systematic Derivation ◽

Continuum Systems

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Are microtubules discrete or continuum systems?

Applied Mathematics and Computation ◽

10.1016/j.amc.2014.05.068 ◽

2014 ◽

Vol 242 ◽

pp. 353-360 ◽

Cited By ~ 5

Author(s):

S. Zdravković ◽

A. Maluckov ◽

M. Đekić ◽

S. Kuzmanović ◽

M.V. Satarić

Keyword(s):

Continuum Systems

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Constructing constrained invariant sets in multiscale continuum systems

Physical Review E ◽

10.1103/physreve.68.056210 ◽

2003 ◽

Vol 68 (5) ◽

Cited By ~ 2

Author(s):

David Morgan ◽

Erik M. Bollt ◽

Ira B. Schwartz

Keyword(s):

Invariant Sets ◽

Continuum Systems

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SPATIAL SYMMETRIES AND GEOMETRICAL PHASES IN CLASSICAL DISSIPATIVE SYSTEMS

Modern Physics Letters B ◽

10.1142/s0217984993000102 ◽

1993 ◽

Vol 07 (02) ◽

pp. 71-82 ◽

Cited By ~ 5

Author(s):

A. S. LANDSBERG

Keyword(s):

Reaction Diffusion ◽

Wave Pattern ◽

Dissipative Systems ◽

Spatial Shift ◽

Finite Dimensional ◽

Reaction Diffusion Model ◽

Traveling Wave Front ◽

Wave Patterns ◽

Standard Reaction ◽

Continuum Systems

We describe the emergence of geometrical phases in dissipative systems with continuous spatial symmetries. The phase characterizes the spatial shift of a wave pattern that arises as the result of a cyclic adiabatic transport of control parameters of the system. Geometrical phases are calculated for both stationary and propagating wave patterns. Complementary formulations are provided for finite-dimensional and continuum systems. The theory is used to determine the phase shift for a traveling wave front in a standard reaction-diffusion model.

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