1/f Noise from Glauber Dynamics: Self-Consistent Interaction and Temperature Dependent Correlations
Low frequency flicker noise has been argued to occur in spatially extended metastable systems near a critical point (Bak et al., 1987). An Ising-Glauber model based method is suggested here to systematically obtain temperature dependent nth-order correlation functions for N arbitrary interacting two...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Advances in Condensed Matter Physics |
| Online Access: | http://dx.doi.org/10.1155/2015/607021 |
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| author | Amrit De |
| author_facet | Amrit De |
| author_sort | Amrit De |
| collection | DOAJ |
| description | Low frequency flicker noise has been argued to occur in spatially extended metastable systems near a critical point (Bak et al., 1987). An Ising-Glauber model based method is suggested here to systematically obtain temperature dependent nth-order correlation functions for N arbitrary interacting two-level systems (TLSs). This model is fully consistent with existing methods to calculate 1/f noise spectra from TLSs and complements them. However, with as such no a priori assumptions on the typical log normal distribution of fluctuation rates, it is shown that 1/fα noise manifests in two different cases: first in the thermodynamic limit on a 2D lattice with long range antiferromagnetic interactions at low temperatures and second in the case of a statistical ensemble of finite-sized spin clusters representing disorder, but where each cluster is ordered due to ferromagnetic interactions. |
| format | Article |
| id | doaj-art-87c4a633e70a4bb59cfbf0305dc9c7d8 |
| institution | Kabale University |
| issn | 1687-8108 1687-8124 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Condensed Matter Physics |
| spelling | doaj-art-87c4a633e70a4bb59cfbf0305dc9c7d82025-08-20T03:38:05ZengWileyAdvances in Condensed Matter Physics1687-81081687-81242015-01-01201510.1155/2015/6070216070211/f Noise from Glauber Dynamics: Self-Consistent Interaction and Temperature Dependent CorrelationsAmrit De0Department of Physics and Astronomy, University of California, Riverside, CA 92521, USALow frequency flicker noise has been argued to occur in spatially extended metastable systems near a critical point (Bak et al., 1987). An Ising-Glauber model based method is suggested here to systematically obtain temperature dependent nth-order correlation functions for N arbitrary interacting two-level systems (TLSs). This model is fully consistent with existing methods to calculate 1/f noise spectra from TLSs and complements them. However, with as such no a priori assumptions on the typical log normal distribution of fluctuation rates, it is shown that 1/fα noise manifests in two different cases: first in the thermodynamic limit on a 2D lattice with long range antiferromagnetic interactions at low temperatures and second in the case of a statistical ensemble of finite-sized spin clusters representing disorder, but where each cluster is ordered due to ferromagnetic interactions.http://dx.doi.org/10.1155/2015/607021 |
| spellingShingle | Amrit De 1/f Noise from Glauber Dynamics: Self-Consistent Interaction and Temperature Dependent Correlations Advances in Condensed Matter Physics |
| title | 1/f Noise from Glauber Dynamics: Self-Consistent Interaction and Temperature Dependent Correlations |
| title_full | 1/f Noise from Glauber Dynamics: Self-Consistent Interaction and Temperature Dependent Correlations |
| title_fullStr | 1/f Noise from Glauber Dynamics: Self-Consistent Interaction and Temperature Dependent Correlations |
| title_full_unstemmed | 1/f Noise from Glauber Dynamics: Self-Consistent Interaction and Temperature Dependent Correlations |
| title_short | 1/f Noise from Glauber Dynamics: Self-Consistent Interaction and Temperature Dependent Correlations |
| title_sort | 1 f noise from glauber dynamics self consistent interaction and temperature dependent correlations |
| url | http://dx.doi.org/10.1155/2015/607021 |
| work_keys_str_mv | AT amritde 1fnoisefromglauberdynamicsselfconsistentinteractionandtemperaturedependentcorrelations |