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Nonlinear Dynamics and Computational Physics Group
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Solving complex phenomena with the power of fluctuations and computation.
AboutAbout the lab
Complexity born from collections of simple elements
The Nonlinear Physics Division studies complex phenomena that appear in living and social systems, such as the nervous system of the brain, networks of people and cities, and molecular motors.
Using methods such as nonequilibrium physics, statistical mechanics, nonlinear dynamics, chaotic dynamics, and the theory of stochastic processes, it aims to model and understand the underlying mathematical structures.
This is the Nonlinear Dynamics and Computational Physics Group of Lecturer Miyazaki and Assistant Professor Harada. Faculty of the division carry out research and education together across groups.
Key terms
- Nonlinear
- A property in which cause and effect are not proportional. A small difference can sometimes produce a large difference
- Large deviation statistics
- A statistical method for examining how unlikely large departures from the average are
- Monte Carlo method
- A computational method that repeats many trials using random numbers to obtain an approximate answer
ResearchResearch themes
The group studies large deviation statistical analysis, which examines large fluctuations in chaotic dynamical systems and on networks, as well as computational methods of statistical physics such as Monte Carlo methods and tensor networks.
*Illustrative imageChaos Analysis of Natural Language
The group deepens large deviation statistical analysis, a method for examining large fluctuations in chaotic dynamical systems and similar systems, and works on capturing the fluctuations hidden in natural language by treating text as a time series of words.
*Illustrative imageLarge Fluctuations in Networks
In graphs whose nodes carry feature values, such as interest on social media or the presence or absence of search terms in web searches, the group studies large fluctuations on networks in order to distinguish the link structure and the arrangement of feature values at the same time.
*Illustrative imageMonte Carlo and Tensor Networks
Predicting the behavior of systems made of many elements is a hard problem, because the computational cost explodes as the number of elements grows. The group develops computational methods such as quantum Monte Carlo and tensor networks, and applies them to research on quantum many-body systems.
MembersFaculty
The faculty of the Nonlinear Dynamics and Computational Physics Group in the Nonlinear Physics Division are Lecturer Syuji Miyazaki and Assistant Professor Kenji Harada.
- LecturerSyuji Miyazaki
- Assistant ProfessorKenji Harada
VoicesStudent voices
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Report an errorAbout the images
The top and research theme images are illustrative and were not taken at the lab. They are cropped from Wikimedia Commons images. Cropped CC BY-SA images are provided under the same CC BY-SA license as the original (version shown on each line).
- Top image: “Mandel zoom 11 satellite double spiral” Created by Wolfgang Beyer with the program Ultra Fractal 3. / CC BY-SA 3.0 (cropped)
- Chaos Analysis of Natural Language: “(Text Page to) Zvrichgow. VViflispvrgergovv. (to accompany) Historia mundi - or Mercator's atlas. London Printed for Michaell (IA dr text-page-to-zvrichgow-vviflispvrgergovv-to-accompany-historia-mundi-11248320)” Mercator, Gerhard, Hondius, Jodocus, Saltonstall, Wye Sparke, Michael Goulart, James / Public domain (cropped)
- Large Fluctuations in Networks: “Network graph visualization showing bibliography and keywords” Ecpp / CC BY-SA 4.0 (cropped)
- Monte Carlo and Tensor Networks: “Monte-Carlo method (errors)” Zureks / CC0 (cropped)
- Related lab (Theoretical Neuroscience and Mathematics of Nonequilibrium Systems Group): “Neuron Heart” Piku4chemia / CC BY-SA 4.0 (cropped)
- Related lab (Physical Statistics Lab): “Chaos Theory & Double Pendulum - 3” Cristian V. / CC BY-SA 4.0 (cropped)
- Related lab (Social Media Lab): “Social network - by JClks” JClks / CC BY 2.0 (cropped)
- Related lab (Agreement Informatics Lab): “Discussion Between National Consensus Commission And Nationalist Likeminded Alliance (PID-0002082)” Press Information Department / Public domain (cropped)
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