Anomalous Relaxation Processes in Two-state Systems
In this paper the biased relaxation processes in the two-state systems whose structural elements evolve in accordance with the dichotomous random process are investigated. Using the continuous-time random walk approach we obtain the integral equation whose solution is the relaxation function and sho...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Sumy State University
2015-10-01
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| Series: | Журнал нано- та електронної фізики |
| Subjects: | |
| Online Access: | http://jnep.sumdu.edu.ua/download/numbers/2015/3/articles/jnep_2015_V7_03049.pdf |
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| Summary: | In this paper the biased relaxation processes in the two-state systems whose structural elements evolve in accordance with the dichotomous random process are investigated. Using the continuous-time random walk approach we obtain the integral equation whose solution is the relaxation function and show that relaxation in these systems demonstrates the memory effects. Also our attention is paid to studying the long-time behavior of the relaxation laws in the case when probability densities of the waiting times in the up and down states of system have heavy and / or superheavy tails. From the asymptotic results it follows that the relaxation of these systems to the certain equilibrium state may occur in an anomalously slow way. Finally, we perform numerical calculations that confirm our theoretical predictions. |
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| ISSN: | 2077-6772 |