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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Main Author: Zheng, Yuanjian
Other Authors: Massimo Pica Ciamarra
Format: Thesis-Doctor of Philosophy
Language:English
Published: Nanyang Technological University 2022
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Online Access:https://hdl.handle.net/10356/155024
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Institution: Nanyang Technological University
Language: English
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spelling 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
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic Science::Physics
spellingShingle Science::Physics
Zheng, Yuanjian
Hyperuniformity and beyond in complex systems
description 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.
author2 Massimo Pica Ciamarra
author_facet Massimo Pica Ciamarra
Zheng, Yuanjian
format Thesis-Doctor of Philosophy
author Zheng, Yuanjian
author_sort 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
title_fullStr Hyperuniformity and beyond in complex systems
title_full_unstemmed Hyperuniformity and beyond in complex systems
title_sort hyperuniformity and beyond in complex systems
publisher Nanyang Technological University
publishDate 2022
url https://hdl.handle.net/10356/155024
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