On hysteresis based random number generation

A new hysteresis-based technique for random number generation is presented which can be efficiently implemented by using modern spintronics based nano-technology. Thermal fluctuation induced random switchings of rectangular hysteresis loops are utilized whose outputs result in the generation of rand...

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Bibliographic Details
Published in:AIP advances 2020-04, Vol.10 (4), p.045308-045308-4
Main Authors: Korman, C. E., Mayergoyz, I. D.
Format: Article
Language:English
Subjects:
Boundary value problems
Exact solutions
Gaussian process
Hysteresis loops
Numbers
Ornstein-Uhlenbeck process
Random numbers
Spintronics
Stochastic models
Stochastic processes
Switching
Thermal noise
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Summary:A new hysteresis-based technique for random number generation is presented which can be efficiently implemented by using modern spintronics based nano-technology. Thermal fluctuation induced random switchings of rectangular hysteresis loops are utilized whose outputs result in the generation of random binary numbers. Mathematically, the random switching is treated as a repeated sequence of two exit problems for stationary stochastic processes, which are shown to be reduced to the solution of initial boundary value problems for the appropriate backward Kolmogorov equations. Analytical solution of these boundary value problems are carried out for the stationary Gaussian Markov Ornstein-Uhlenbeck process. An alternative approach to the analysis of the random switching based on stochastic processes on graphs is also discussed with special attention paid to the trade-offs between the strength of thermal noise and the widths of the hysteresis loops.
ISSN:2158-3226
2158-3226
DOI:10.1063/1.5129981