Dynamics of spreading phenomena in two-dimensional Ising models

H. Eugene Stanley; Dietrich Stauffer; Jnos Kertész; Hans J. Herrmann

doi:10.1103/PhysRevLett.59.2326

Dynamics of spreading phenomena in two-dimensional Ising models

H. Eugene Stanley^*, Dietrich Stauffer, Jnos Kertész, Hans J. Herrmann

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract (may include machine translation)

We consider the time evolution of two Ising systems that differ at time t=0 in the orientation of only one spin. The detailed time development is calculated from two algorithms: (i) Glauber dynamics and (ii) Q2R dynamics (a deterministic cellular automaton). We find that for both algorithms spreading of damaged regions is greatly hindered below a threshold temperature Ts (or energy), which agrees numerically with the Curie point. For Glauber dynamics Ts is found to be a sharp phase transition point; for Q2R dynamics we find a kinetic slowing down which is reminiscent of a (spin-) glass transition.

Original language	English
Pages (from-to)	2326-2328
Number of pages	3
Journal	Physical Review Letters
Volume	59
Issue number	20
DOIs	https://doi.org/10.1103/PhysRevLett.59.2326
State	Published - 1987
Externally published	Yes

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10.1103/PhysRevLett.59.2326

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title = "Dynamics of spreading phenomena in two-dimensional Ising models",

abstract = "We consider the time evolution of two Ising systems that differ at time t=0 in the orientation of only one spin. The detailed time development is calculated from two algorithms: (i) Glauber dynamics and (ii) Q2R dynamics (a deterministic cellular automaton). We find that for both algorithms spreading of damaged regions is greatly hindered below a threshold temperature Ts (or energy), which agrees numerically with the Curie point. For Glauber dynamics Ts is found to be a sharp phase transition point; for Q2R dynamics we find a kinetic slowing down which is reminiscent of a (spin-) glass transition.",

author = "Stanley, \{H. Eugene\} and Dietrich Stauffer and Jnos Kert{\'e}sz and Herrmann, \{Hans J.\}",

year = "1987",

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AU - Stanley, H. Eugene

AU - Stauffer, Dietrich

AU - Kertész, Jnos

AU - Herrmann, Hans J.

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Y1 - 1987

N2 - We consider the time evolution of two Ising systems that differ at time t=0 in the orientation of only one spin. The detailed time development is calculated from two algorithms: (i) Glauber dynamics and (ii) Q2R dynamics (a deterministic cellular automaton). We find that for both algorithms spreading of damaged regions is greatly hindered below a threshold temperature Ts (or energy), which agrees numerically with the Curie point. For Glauber dynamics Ts is found to be a sharp phase transition point; for Q2R dynamics we find a kinetic slowing down which is reminiscent of a (spin-) glass transition.

AB - We consider the time evolution of two Ising systems that differ at time t=0 in the orientation of only one spin. The detailed time development is calculated from two algorithms: (i) Glauber dynamics and (ii) Q2R dynamics (a deterministic cellular automaton). We find that for both algorithms spreading of damaged regions is greatly hindered below a threshold temperature Ts (or energy), which agrees numerically with the Curie point. For Glauber dynamics Ts is found to be a sharp phase transition point; for Q2R dynamics we find a kinetic slowing down which is reminiscent of a (spin-) glass transition.

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JO - Physical Review Letters

JF - Physical Review Letters

IS - 20

ER -

Dynamics of spreading phenomena in two-dimensional Ising models

Abstract (may include machine translation)

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