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Probability Theory and Statistical Mechanics Lab
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A lab that explores the behavior of polymers in random environments.
AboutAbout the lab
Reading seemingly random phenomena through probability theory.
Prof. Yoshida's lab specializes in probability theory, with a particular interest in problems related to statistical physics.
In his faculty profile, Prof. Yoshida says he chose probability theory because he was fascinated by the mystery that seemingly haphazard random phenomena are in fact governed by strict laws.
In particular, the lab studies phase transitions in which a polymer chain changes shape dramatically because of impurities in the solvent, using a probabilistic model called the directed polymer in a random medium.
Key terms
- Directed polymer
- A probabilistic model for studying how the shape of a polymer chain changes under the influence of impurities in the solvent
- Localization–diffusion transition
- The name sometimes given to the phase transition in which the shape of a polymer chain changes greatly because of impurities in the solvent
- Infinite particle system
- A model of a system with infinitely many particles. In systems with a certain kind of structure, the localization–diffusion transition appears universally
ResearchResearch themes
The lab uses probabilistic models to study how the shape of a polymer chain changes because of impurities in the solvent. The listed research themes are polymer models in random media and stochastic growth models.
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MembersFaculty
- ProfessorNobuo Yoshida
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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: “Polymer solvent mixture” DMDusza / CC0 (cropped)
- Localization–diffusion transition of polymer chains: “Polymer chain SPT” SPT Paul Topham / CC BY-SA 4.0 (cropped)
- Related lab (Algebraic Geometry, Representation Theory, Infinite-Dimensional Integrable Systems, and Mathematical Physics Lab (Shintaro Yanagida)): “Truncated icosahedron cherry model by George W. Hart” George W. Hart / CC BY-SA 4.0 (cropped)
- Related lab (Nakashima Lab): “Galton-watson(poisson(1),11gen, 47noeud)” Ipipipourax, S. Roger / CC0 (cropped)
- Related lab (Naito Lab): “Carbon lattice diamond” GYassineMrabetTalk✉ This structure was created with PyMOL. / Public domain (cropped)
- Related lab (Ring Theory and Representation Theory Lab): “Combined group axiom commutative diagram” Struoc / CC BY-SA 4.0 (cropped)
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