Self-similarity and fractal dimension of the devil's staircase in the one-dimensional Ising model

R. Bruinsma; P. Bak

doi:10.1103/physrevb.27.5824

Self-similarity and fractal dimension of the devil's staircase in the one-dimensional Ising model

Physical Review B ◽

10.1103/physrevb.27.5824 ◽

1983 ◽

Vol 27 (9) ◽

pp. 5824-5825 ◽

Cited By ~ 46

Author(s):

R. Bruinsma ◽

P. Bak

Keyword(s):

Fractal Dimension ◽

Ising Model ◽

Self Similarity ◽

Devil's Staircase ◽

One Dimensional ◽

Devil’S Staircase ◽

The One

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Fractal Dimension and Self-Similarity of the Devil's Staircase in a Josephson-Junction Simulator

Physical Review Letters ◽

10.1103/physrevlett.52.480 ◽

1984 ◽

Vol 52 (6) ◽

pp. 480-480 ◽

Cited By ~ 53

Author(s):

W. J. Yeh ◽

Da-Ren He ◽

Y. H. Kao

Keyword(s):

Fractal Dimension ◽

Josephson Junction ◽

Self Similarity ◽

Devil's Staircase ◽

Devil’S Staircase

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Crossover from harmless to devil's staircase in the one-dimensional lattice gas model

Journal of Physics C Solid State Physics ◽

10.1088/0022-3719/18/10/004 ◽

1985 ◽

Vol 18 (10) ◽

pp. L261-L263 ◽

Cited By ~ 8

Author(s):

K Shinjo ◽

T Sasada

Keyword(s):

Lattice Gas ◽

Lattice Gas Model ◽

Devil's Staircase ◽

Dimensional Lattice ◽

One Dimensional ◽

Devil’S Staircase ◽

The One

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Maximally even sets and the devil’s-staircase phase diagram for the one-dimensional Ising antiferromagnet with arbitrary-range interaction

Journal of Mathematical Physics ◽

10.1063/1.532530 ◽

1998 ◽

Vol 39 (9) ◽

pp. 4675-4682 ◽

Cited By ~ 6

Author(s):

Richard J. Krantz ◽

Jack Douthett ◽

Steven D. Doty

Keyword(s):

Phase Diagram ◽

Devil's Staircase ◽

Range Interaction ◽

One Dimensional ◽

Devil’S Staircase ◽

Ising Antiferromagnet ◽

The One

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Complete devil's staircase in the one-dimensional lattice gas

Journal de Physique Lettres ◽

10.1051/jphyslet:01983004407024700 ◽

1983 ◽

Vol 44 (7) ◽

pp. 247-250 ◽

Cited By ~ 16

Author(s):

S. Aubry

Keyword(s):

Lattice Gas ◽

Devil's Staircase ◽

Dimensional Lattice ◽

One Dimensional ◽

Devil’S Staircase ◽

The One

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Calculation of a characteristic fractal dimension in the one-dimensional random field ising model

Zeitschrift für Physik B Condensed Matter ◽

10.1007/bf01303720 ◽

1987 ◽

Vol 65 (3) ◽

pp. 337-339 ◽

Cited By ~ 21

Author(s):

P. Sz�pfalusy ◽

U. Behn

Keyword(s):

Fractal Dimension ◽

Ising Model ◽

Random Field ◽

Random Field Ising Model ◽

One Dimensional ◽

The One ◽

Characteristic Fractal Dimension

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One-Dimensional Ising Model and the Complete Devil's Staircase

Physical Review Letters ◽

10.1103/physrevlett.49.249 ◽

1982 ◽

Vol 49 (4) ◽

pp. 249-251 ◽

Cited By ~ 339

Author(s):

Per Bak ◽

R. Bruinsma

Keyword(s):

Ising Model ◽

Devil's Staircase ◽

One Dimensional ◽

Devil’S Staircase

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Correlation functions of the one-dimensional random-field Ising model at zero temperature

Physical Review B ◽

10.1103/physrevb.48.9508 ◽

1993 ◽

Vol 48 (13) ◽

pp. 9508-9514 ◽

Cited By ~ 7

Author(s):

Edward Farhi ◽

Sam Gutmann

Keyword(s):

Ising Model ◽

Random Field ◽

Correlation Functions ◽

Zero Temperature ◽

Random Field Ising Model ◽

One Dimensional ◽

The One

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The phase transition in the one-dimensional Ising Model with 1/r 2 interaction energy

Communications in Mathematical Physics ◽

10.1007/bf01208373 ◽

1982 ◽

Vol 84 (1) ◽

pp. 87-101 ◽

Cited By ~ 164

Author(s):

Jürg Fröhlich ◽

Thomas Spencer

Keyword(s):

Phase Transition ◽

Ising Model ◽

Interaction Energy ◽

One Dimensional ◽

The One

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Quantum Phase Transition and Finite-Size Scaling of the One-Dimensional Ising Model

Journal of the Korean Physical Society ◽

10.3938/jkps.50.285 ◽

2007 ◽

Vol 50 (91) ◽

pp. 285 ◽

Cited By ~ 10

Author(s):

Jaegon Jaegon ◽

Sung-Ik Sung-Ik ◽

Beom Jun

Keyword(s):

Phase Transition ◽

Ising Model ◽

Quantum Phase Transition ◽

Finite Size ◽

Quantum Phase ◽

Finite Size Scaling ◽

One Dimensional ◽

Size Scaling ◽

The One

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Comments on the one-dimensional ising model and its application to thecis-trans equilibrium in poly-L-proline

Biopolymers ◽

10.1002/bip.1968.360060110 ◽

1968 ◽

Vol 6 (1) ◽

pp. 117-121 ◽

Cited By ~ 13

Author(s):

Jon Applequist

Keyword(s):

Ising Model ◽

One Dimensional ◽

The One

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