دورية أكاديمية
Butterfly effect and spatial structure of information spreading in a chaotic cellular automaton
| العنوان: | Butterfly effect and spatial structure of information spreading in a chaotic cellular automaton |
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| المؤلفون: | Liu, S-W, Willsher, J, Bilitewski, T, Li, J-J, Smith, A, Christensen, K, Moessner, R, Knolle, J |
| المصدر: | 6 ; 1 |
| بيانات النشر: | American Physical Society (APS) |
| سنة النشر: | 2021 |
| المجموعة: | Imperial College London: Spiral |
| مصطلحات موضوعية: | cond-mat.stat-mech |
| الوصف: | Inspired by recent developments in the study of chaos in many-body systems, we construct a measure of local information spreading for a stochastic cellular automaton in the form of a spatiotemporally resolved Hamming distance. This decorrelator is a classical version of an out-of-time-order correlator studied in the context of quantum many-body systems. Focusing on the one-dimensional Kauffman cellular automaton, we extract the scaling form of our decorrelator with an associated butterfly velocity v b and a velocity-dependent Lyapunov exponent λ ( v ) . The existence of the latter is not a given in a discrete classical system. Second, we account for the behavior of the decorrelator in a framework based solely on the boundary of the information spreading, including an effective boundary random walk model yielding the full functional form of the decorrelator. In particular, we obtain analytic results for v b and the exponent β in the scaling ansatz λ ( v ) ∼ μ ( v − v b ) β , which is usually only obtained numerically. Finally, a full scaling collapse establishes the decorrelator as a unifying diagnostic of information spreading. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| تدمد: | 2469-9950 |
| العلاقة: | Physical Review B; http://hdl.handle.net/10044/1/88903Test |
| DOI: | 10.1103/physrevb.103.094109 |
| الإتاحة: | https://doi.org/10.1103/physrevb.103.094109Test http://hdl.handle.net/10044/1/88903Test |
| حقوق: | © 2021 The Author(s). Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Open access publication funded by the Max Planck Society. ; http://creativecommons.org/licenses/by/4.0Test/ |
| رقم الانضمام: | edsbas.7A8C4F6D |
| قاعدة البيانات: | BASE |
| تدمد: | 24699950 |
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| DOI: | 10.1103/physrevb.103.094109 |