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和田浩史
立命館大学理工学部物理科学科
日時：2018年02月02日（金）14:30-16:00
場所：ウエストウイング７階 生物物理学研究室
（立命館大学 BKCキャンパス）
タイトル：Anomalous diffusion: History and recent challenges
講演者：Andrea Cairoli
(Department of Bioengineering, Imperial College London, UK)
アブストラクト：
Anomalous diffusion is widely observed in biophysical systems, like migrating cells, diffusing intracellular organelles and swarming bacteria. Their motion exhibits evident non-Brownian features, e.g., the non-linear scaling of the position mean square displacement. Several models have been developed to tackle the variety of motility patterns observed in experimental data, with the L ́evy flights and walks playing a dominant role. However, many questions are still unresolved. Among others, how can one assess the physical consistency of stochastic models of anomalous diffusion apriori in terms of general theoretical principles? In fact, so far these have only been validated ad hoc against experimental data. And how does inter-particle interactions affect the collective motion of these systems? This is well understood for self-propelled particles under the active fluid formalism, but has not yet been discussed for anomalous diffusing ones. In this talk, I will review commonly used models of anomalous diffusion and derive a set of rules, characterizing general systems in different inertial frames, that they must satisfy. Furthermore, I will show that ordered motion can emerge in these systems by studying an exemplary model of active particles performing L ́evy flights and endowed with alignment interactions, for which I will derive the equation in the hydrodynamic limit. This analysis invigorates the well established field of anomalous diffusion by suggesting novel concepts and tools that can inspire further experimental and theoretical research.
Collaborators list:
Dr. Adrian Baule, School of Mathematical Sciences, Queen Mary University of London
Dr. Rainer Klages, School of Mathematical Sciences, Queen Mary University of London
Dr. Chiu Fan Lee, Department of Bioengineering, Imperial College London