Evidence for nonclassical critical behavior of a one-dimensional incommensurately modulated crystal: A35ClNQR study of bis(4-chlorophenyl)sulfone

2000 ◽  
Vol 61 (13) ◽  
pp. 8993-9000 ◽  
Author(s):  
F. Decker ◽  
J. Petersson
Keyword(s):  
Critical Behavior ◽  
One Dimensional

Critical behavior and anisotropic magnetocaloric effect of the quasi-one-dimensional hexagonal ferromagnet PrCrGe3

2021 ◽  
Vol 103 (10) ◽  
Author(s):  
Xiaojun Yang ◽  
Junxiao Pan ◽  
Shijiang Liu ◽  
Mao Yang ◽  
Leiming Cao ◽  
...  
Keyword(s):  
Magnetocaloric Effect ◽  
Critical Behavior ◽  
One Dimensional

Critical behavior of percolation and Markov fields on branching planes

1993 ◽  
Vol 30 (3) ◽  
pp. 538-547 ◽  
Author(s):  
C. Chris Wu
Keyword(s):  
Continuous Function ◽  
Critical Behavior ◽  
Mean Field ◽  
Percolation Model ◽  
Homogeneous Tree ◽  
Dimensional Lattice ◽  
One Dimensional ◽  
Percolation Probability ◽  
Triangle Condition ◽  
Markov Fields

For an independent percolation model on, whereis a homogeneous tree andis a one-dimensional lattice, it is shown, by verifying that the triangle condition is satisfied, that the percolation probabilityθ(p) is a continuous function ofpat the critical pointpc, and the critical exponents,γ,δ, and Δ exist and take their mean-field values. Some analogous results for Markov fields onare also obtained.

scholarly journals MEAN-FIELD CRITICAL BEHAVIOR AND ERGODICITY BREAK IN A NONEQUILIBRIUM ONE-DIMENSIONAL RSOS GROWTH MODEL

2012 ◽  
Vol 23 (03) ◽  
pp. 1250019 ◽  
Author(s):  
J. RICARDO G. MENDONÇA
Keyword(s):  
Phase Transition ◽  
Probability Density ◽  
Critical Behavior ◽  
Random Number Generator ◽  
Mean Field ◽  
System Size ◽  
Ginzburg Landau ◽  
One Dimensional ◽  
Roughening Transition ◽  
Pseudo Random Number Generator

We investigate the nonequilibrium roughening transition of a one-dimensional restricted solid-on-solid model by directly sampling the stationary probability density of a suitable order parameter as the surface adsorption rate varies. The shapes of the probability density histograms suggest a typical Ginzburg–Landau scenario for the phase transition of the model, and estimates of the "magnetic" exponent seem to confirm its mean-field critical behavior. We also found that the flipping times between the metastable phases of the model scale exponentially with the system size, signaling the breaking of ergodicity in the thermodynamic limit. Incidentally, we discovered that a closely related model not considered before also displays a phase transition with the same critical behavior as the original model. Our results support the usefulness of off-critical histogram techniques in the investigation of nonequilibrium phase transitions. We also briefly discuss in the appendix a good and simple pseudo-random number generator used in our simulations.

scholarly journals Critical Behavior and Fractality in Shallow One-Dimensional Quasiperiodic Potentials

2019 ◽  
Vol 123 (7) ◽  
Author(s):  
Hepeng Yao ◽  
Hakim Khoudli ◽  
Léa Bresque ◽  
Laurent Sanchez-Palencia
Keyword(s):  
Critical Behavior ◽  
One Dimensional

scholarly journals Quantum Critical Behavior of One-Dimensional Soft Bosons in the Continuum

2017 ◽  
Vol 119 (21) ◽  
Author(s):  
Stefano Rossotti ◽  
Martina Teruzzi ◽  
Davide Pini ◽  
Davide Emilio Galli ◽  
Gianluca Bertaina
Keyword(s):  
Critical Behavior ◽  
One Dimensional ◽  
Quantum Critical ◽  
Quantum Critical Behavior ◽  
The Continuum

scholarly journals RENORMALIZATION ANALYSIS OF INTERMITTENCY IN TWO COUPLED MAPS

1999 ◽  
Vol 13 (03) ◽  
pp. 283-292
Author(s):  
SANG-YOON KIM
Keyword(s):  
Critical Behavior ◽  
Control Parameter ◽  
One Dimensional ◽  
Renormalization Operator ◽  
Coupled Maps

The critical behavior for intermittency is studied in two coupled one-dimensional (1D) maps. We find two fixed maps of an approximate renormalization operator in the space of coupled maps. Each fixed map has a common relavant eigenvalue associated with the scaling of the control parameter of the uncoupled one-dimensional map. However, the relevant "coupling eigenvalue" associated with coupling perturbation varies depending on the fixed maps. These renormalization results are also confirmed for a linearly-coupled case.

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