Hyperuniformity and beyond in complex systems
Disordered systems and their emergent dynamics are key aspects in understanding non-equilibrium phenomena. However, the inadequacy of mean field approaches below the upper critical dimension, and the general lack of lattice symmetries or conventional measures of long range order, severely limit the...
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sg-ntu-dr.10356-1550242023-02-28T23:48:26Z Hyperuniformity and beyond in complex systems Zheng, Yuanjian Massimo Pica Ciamarra School of Physical and Mathematical Sciences Massimo@ntu.edu.sg Science::Physics Disordered systems and their emergent dynamics are key aspects in understanding non-equilibrium phenomena. However, the inadequacy of mean field approaches below the upper critical dimension, and the general lack of lattice symmetries or conventional measures of long range order, severely limit the available tools at hand to characterize them. In this dissertation, we introduce new theoretical perspectives and statistical tools that capture the subtle presence of hierarchical hidden order in otherwise disordered systems. Doctor of Philosophy 2022-01-31T03:04:58Z 2022-01-31T03:04:58Z 2021 Thesis-Doctor of Philosophy Zheng, Y. (2021). Hyperuniformity and beyond in complex systems. Doctoral thesis, Nanyang Technological University, Singapore. https://hdl.handle.net/10356/155024 https://hdl.handle.net/10356/155024 10.32657/10356/155024 en This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0). application/pdf Nanyang Technological University |
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Science::Physics Zheng, Yuanjian Hyperuniformity and beyond in complex systems |
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Disordered systems and their emergent dynamics are key aspects in understanding non-equilibrium phenomena. However, the inadequacy of mean field approaches below the upper critical dimension, and the general lack of lattice symmetries or conventional measures of long range order, severely limit the available tools at hand to characterize them. In this dissertation, we introduce new theoretical perspectives and statistical tools that capture the subtle presence of hierarchical hidden order in otherwise disordered systems. |
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Massimo Pica Ciamarra |
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Massimo Pica Ciamarra Zheng, Yuanjian |
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Thesis-Doctor of Philosophy |
author |
Zheng, Yuanjian |
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Zheng, Yuanjian |
title |
Hyperuniformity and beyond in complex systems |
title_short |
Hyperuniformity and beyond in complex systems |
title_full |
Hyperuniformity and beyond in complex systems |
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Hyperuniformity and beyond in complex systems |
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Hyperuniformity and beyond in complex systems |
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hyperuniformity and beyond in complex systems |
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Nanyang Technological University |
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2022 |
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https://hdl.handle.net/10356/155024 |
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