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Macroscopic properties of ferromagnetic nematics

Speaker: Prof. Helmut R. Brand (University of Bayreuth)
Date : Mar. 19 (Mon), 16:30-18:00
Place : Room 155B, Main Bldg.

Already more than 4 decades ago the possibility of ferromagnetic nematic liquid crystals has been postulated [1] by combining ferromagnetic nanoparticles with a nematic solvent. First experiments along these ideas were carried out immediately [2], giving rise to ferronematics with no spontaneous magnetization. Only a few years ago [3], with the development of suitably well-characterized magnetic nanoparticles, truly ferromagnetic nematics could be synthesized and analyzed thus establishing the first room temperature multiferroic liquid system. The static properties including magneto-optic and converse magnetoelectric effects were demonstrated [4]. Quite recently the study of the dynamics of truly ferromagnetic nematic liquid crystals properties has started [5]. It was demonstrated in [5] that a dissipative cross-coupling between the two order parameters [6], magnetization and director, is essential to account for the dynamic experimental results quantitatively. Recent developments [7,8] in the dynamic domain include investigations of the light scattering behavior as well as the coupling to flow including shear flows and the analog of the Miesowicz viscosities familiar from usual nematic liquid crystals.

[1] F. Brochard and P.G. de Gennes, J. Phys. 31, 691 (1970).
[2] J. Rault, P.E. Cladis, and J.-P. Burger, Phys. Lett. A 32, 199 (1970).
[3] A. Mertelj, D. Lisjak, M. Drofenik, and M. Copic, Nature 504, 237 (2013).
[4] A. Mertelj, N. Osterman, D. Lisjak, and M. Copic, Soft Matter 10, 9065 (2014).
[5] T. Potisk et al., Phys. Rev. Lett. 119, 097802 (2017).
[6] E. Jarkova, H. Pleiner, H.-W. Mueller and H.R. Brand, J. Chem. Phys. 118, 2422 (2003).
[7] T. Potisk et al., Phys. Rev. E 97, 012701 (2018).
[8] T. Potisk et al., to be published.

分子解像度のクライオ蛍光顕微鏡

Speaker: 藤芳 暁 氏 (東京工業大学)
Date : 3月5日(月) 13:30-15:00
Place : 本館156号室

たった一つの生命現象を発現させるためにも、細胞中では無数の分子が働いている。しかも、これらの分子は単独ではなく、分子ネットワークを作り機能している。このような複雑系の実体を知るには、その現場を正確に画像化することが肝要である。このような目標に対して、生体試料のための電子顕微鏡は、他の方法と比べて目覚ましく発展しており、このような複雑系の一部が見え始めている。例えば、細胞外であれば、結晶化せずに生体分子複合体の原子モデルが手に入るようになっている。また、分解能に弱点があった光学顕微鏡も、急速に分解能の改善が見られ、これまで見えなかった微細な細胞内構造が観測されてきている。このような状況の中、我々は急速凍結することで固定化した試料を観察する蛍光顕微鏡(クライオ蛍光顕微鏡)を独自開発することで、その解像度を分子レベルに引き上げることに成功した[1-3]。講演では、生体試料イメージングの現状を簡単に紹介した後に、我々の研究について紹介したい。

[1] S. Fujiyoshi et al.; Phys. Rev. Lett. 100, 168101 (2008).
[2] S. Fujiyoshi et al.; Phys. Rev. Lett. 106, 078101 (2011).
[3] T. Furubayashi et al.; J. Am. Chem. Soc. 139, 8990 (2017).

Electrically Controlled Dynamics of Knotted Director Fields and Defects in Liquid Crystals

Speaker: Prof. Ivan I. Smalyukh (Univ. Colorado, Boulder)
Date : Nov. 30 (Thu), 11:00-12:30
Place : Room 239, Main Bldg.

Active colloids and liquid crystals are capable of locally converting the macroscopically-supplied energy into directional motion and promise a host of new applications, ranging from drug delivery to cargo transport at the mesoscale. In this presentation, I will discuss how knotted fields and defects in liquid crystals can locally transform electric energy to translational motion and allow for the transport of cargo along directions dependent on frequency of the applied electric field. By combining polarized optical video microscopy and numerical modeling that reproduces both the equilibrium structures of solitons and their temporal evolution in applied fields, we uncover the physical underpinnings behind this reconfigurable motion and study how it depends on the structure and topology of defects. In my lecture I will show that, unexpectedly, the directional motion of the studied defects with and without the cargo arises mainly from the asymmetry in rotational dynamics of molecular ordering in liquid crystal, rather than from the asymmetry of fluid flows, as in conventional active soft matter systems.

Recent results on dense bacterial suspensions

Speaker: Dr. Hugues Chaté (CEA-Saclay & Computational Science Research Center)
Date : Nov. 28 (Tue), 16:30-18:00
Place : Room 239, Main Bldg.

I will present recent experimental results on dense bacterial suspensions obtained in the groups of Masaki Sano (University of Tokyo), Yilin Wu (Chinese University of Hong Kong), and Hepeng Zhang (Shanghai Jiaotong University). I will put them in context, situating them within our current knowledge of active matter, stressing differences and similarities. Particular attention will be paid to the modeling efforts already deployed or to be developed in order to understand the fascinating large-scale phenomena observed by these 3 groups.

Two stories on kinetic roughening: non-equilibrium cluster diffusion and interface collisions

Speaker: Dr. Olivier Pierre-Louis (ILM, Univ. Lyon 1, CNRS)
Date : Oct. 23 (Mon), 13:30-15:00
Place : Room 156, Main Bldg.

Kinetic roughening is the process by which interfaces develop a self-affine roughness in non-equilibrium systems. The interfaces can represent domain walls, the surface of a growing crystal, the edge of a bacterial colony, etc. We present two consequences of non-equilibrium kinetic roughening in two dimensions.

Our first story reports on the non-equilibrium diffusion of two-dimensional cluster. These clusters can represent e.g. an Ising droplet driven by a field, a monolayer island growing on a facet during crystal growth or dissolution, or an expanding bacterial colony. We find that the mean square displacement of the center of mass of clusters exhibit a transition from superdiffusive to subdiffusive diffusion during growth, with exponents controlled by the kinetic roughening of the cluster edge.

The second story focuses of the collision between growth fronts. We here aim to model e.g. the process by which grain boundaries form in graphene, or by which different expanding bacterial films collide. We claim that this process can be seen as non-trivial generalization of first passage processes. We show that the spatio-temporal roughness of the collision is controlled by the roughness accumulated before the collision. The distribution of times of collision, and the roughness of interface after collision are shown to obey dynamic scaling, and combine linearly the distributions of the two fronts before collision.

REFERENCES
1. Non-equilibrium cluster diffusion during growth and evaporation in two dimensions (editor's suggestion), Y. Saito, M. Dufay, O. Pierre-Louis, Phys Rev. Lett. 108, 245504 (2012)
2. Non-equilibrium interface collisions, F.A. Reis, O. Pierre-Louis, preprint (2016)

Statistical mechanics of skin homeostasis

Speaker: Dr. Kyogo Kawaguchi (Harvard Medical School, Univ. of Tokyo)
Date : Aug. 2 (Wed.) 16:00-17:30
Place : Room 155B, Main Bldg.

Adult tissues undergo rapid turnover as mature cells are continuously lost, and new cells arise through cell division. The balance between gain and loss of cells must be finely orchestrated to maintain tissues, but how this balance is achieved remains largely unknown. For the skin, it had been assumed that the fate choices of stem cells (division or differentiation) are made strictly cell-autonomously. Here we recorded every stem cell fate choice within mouse skin epidermal regions over one week and found that, far from being cell-autonomous, stem cell loss by differentiation was compensated by direct neighboring division[1]. Furthermore, division events were triggered by neighbor differentiation and not vice versa, showing differentiation-dependent division as the core feature of homeostatic control.

In this presentation, we will formalize the problem of tissue homeostasis using a macroscopic nonequilibrium model setup[2]. Starting from an interacting particle system with Brownian motion, we show how the coarse-graining of our model will lead to the effective dynamics of the Voter model (DP2). We will then explain the pitfall in two-dimensions of using scaling relations of the type used before for the clonal fate trace of cells, and illustrate the workaround used in the new data analysis to definitively show the existence of cell-to-cell fate correlation.

[1] Mesa, Kawaguchi et al., Biorxiv (2017) doi: https://doi.org/10.1101/155408
[2] Yamaguchi, Kawaguchi, and Sagawa, Phys. Rev. E 96, 012401 (2017)

Numerical simulations with CUDA of critical dynamics on Ising-like systems

Speaker: Prof. Francisco Sastre (Univ. of Guanajuato, Mexico)
Date : Jul. 14 (Fri.), 16:30-18:00
Place : Room 155B, Main Bldg.

Ageing phenomena may arise in systems quenched, from some initial state, either (i) into a coexistence phase with more than one stable equilibrium state or else (ii) onto a critical point of the stationary state. Studies of dynamical critical properties, in the same way that the steady state properties, are neccesarily limited to samples of finite size. For this reason it is important to explore computational alternatives to obtain reliable results. In this work we explain how the critical dynamic can be implemented correctly in the Majority voter model, an non-equilibrium Ising-like model, using CUDA. By means of Monte Carlo simulations of the critical Ising and Majority voter models with Glauber dynamics on two dimensional honeycomb lattices we found that the dynamic critical exponents for the Majority voter model are in good agreement with the reported values of the Ising model.

The most effective model for describing the universal behavior of unstable surface growth

Speaker: Dr. Yuki Minami (AIST)
Date : Jun. 12 (Mon.), 16:00-17:30
Place : Room 155B, Main Bldg.

Anomalous transportation is characterized by a scale dependent transportation coefficient. It has been conjectured that such behavior is effectively described by a stochastic model. However, the parameter values of the model are determined only by measurements, and it is not established to connect the parameter value of such effective models with microscopic descriptions. It may be obvious that this can be studied by the renormalization group (RG) method. However, standard RG analysis, in which a fixed point and scaling exponents are studied, cannot determine the effective model for scale-dependent parameters.

In this talk, we propose a new theoretical framework to determine parameter values of an effective stochastic model for anomalous transportation [1]. We discuss that the model is determined by identifying ''a specific trajectory'' of solutions of the RG equation. The trajectory represents the minimum flow from an effective model to an infrared universal behavior. Specifically, we determine the Kardar-Parisi-Zhang equation that effectively describes the universal behavior of the Kuramoto-Sivashinsky equation. Furthermore, we discuss an application of our theory to other systems that have anomalous transportation.

Reference:
[1] Y. Minami, S. Sasa, arXiv:1703.08946 [cond-mat.stat-mech].

Long-range nematic order and anomalous fluctuations in collective motion of swimming filamentous bacteria

Speaker: Dr. Daiki Nishiguchi (The University of Tokyo)
Date : Apr. 28 (Fri) 17:00-18:30
Place : Room 155B, Main Bldg.

Collective motion of self-propelled elements, as seen in bird flocks, fish schools, bacterial swarms, etc., is so ubiquitous that it has driven physicists to search for its possibly universal properties. Evidence for such universality has been provided by many theoretical and numerical studies using simple flocking models such as Vicsek-style models and hydrodynamic theories [1-2]. However, no experiments so far have been fully convincing in demonstrating the existence of this universality.

In this seminar, after introducing standard models of collective motion and giving state-of-the-art interpretations on previous experimental studies, I show our experiments on elongated bacteria swimming in a quasi-two-dimensional fluid layer [3]. Strong confinement and the high aspect ratio of bacteria induce weak nematic alignment upon collision, which gives rise to spontaneous breaking of rotational symmetry and global nematic order at sufficiently high density of bacteria. This homogeneous but fluctuating ordered phase has turned out to exhibit true long-range orientational order, non-trivial giant number fluctuations, and algebraic correlations associated with Nambu-Goldstone modes, which verifies the existence of an active phase predicted to emerge in standard flocking models. Such properties contrast our system with usual bacterial experiments that end up with turbulent states without any global orientational order.

Through our experiments, I will also discuss (i) what might be crucial for the emergence of such universality in reality and (ii) possible discrepancy between our experiments and theoretical predictions with approximations.

[1] F. Ginelli, “The Physics of the Vicsek model”, Eur. Phys. J.: Special Topics, 225, 2099 (2016).
[2] J. Toner, Y. Tu, and S. Ramaswamy. “Hydrodynamics and phases of flocks”, Ann. Phys. (N.Y.), 318, 170 (2005).
[3] D. Nishiguchi, K. H. Nagai, H. Chaté, and M. Sano, “Long-range nematic order and anomalous fluctuations in suspensions of swimming filamentous bacteria”, Phys. Rev. E, 95, 020601(R) (2017).

Reversible-irreversible transitions of particle trajectories in oscillatory sheared systems near the jamming transition

Speaker: Dr. Takeshi Kawasaki (Nagoya University)
Date : Apr. 10 (Mon), 16:30-18:00
Place : Room 155B, Main Bldg.

A reversible-irreversible (RI) transition of particle trajectories was first investigated in a low density periodically driven colloidal system and it was found to be a continuous absorbing state transition [1,2]. It has been also discussed that the transition might belong to the directed percolation universality class [2]. In the higher density systems, on the other hand, a RI transition is observed but the nature of the transition has not been clarified yet.

In this seminar, we present our recent studies on the RI transitions for various densities especially near the jamming transition by using oscillatory sheared molecular dynamics simulations. Here it is revealed that the transition behaviors are dramatically changed at the jamming transition density. In particular, above the transition density, we observe only the discontinuous RI transition and find that it is clearly correlated with the yielding transition [3]. On the other hand, below the jamming transition density, we find that there exist several distinct transitions depending on the density and strain amplitude, i.e., (i) continuous, (ii) reentrant, and (iii) weakly discontinuous RI transitions. We show that these transition behaviors are strongly correlated to the number of the contacts among the particles. This implies that these distinct transitions are explained in the context of the contact percolation and mechanical stability [4].

Refs:
[1] D. J. Pine, J. P. Gollub, J. F. Brady, and A. M. Leshansky, Nature 438, 997 (2005).
[2] L. Cort?, P. M. Chaikin, J. P. Gollub, and D. J. Pine, Nat Phys 4, 420 (2008).
[3] T. Kawasaki and L. Berthier, Phys. Rev. E 94, 022615 (2016).
[4] K. Nagasawa, K. Miyazaki, and T. Kawasaki (in preparation).

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