By Kyozi Kawasaki, T. Nagai, K. Nakashima (auth.), Professor Hajime Takayama (eds.)
Many novel cooperative phenomena present in a number of platforms studied through scientists may be taken care of utilizing the uniting rules of synergetics. Examples are annoyed and random structures, polymers, spin glasses, neural networks, chemical and organic platforms, and fluids. during this booklet consciousness is targeted on major difficulties. First, how neighborhood, topological constraints (frustrations) could cause macroscopic cooperative habit: comparable principles first and foremost built for spin glasses are proven to play key roles additionally for optimization and the modeling of neural networks. moment, the dynamical constraints that come up from the nonlinear dynamics of the platforms: the dialogue covers turbulence in fluids, development formation, and traditional 1/f noise. the quantity should be of curiosity to somebody wishing to appreciate the present improvement of labor on complicated structures, that's shortly the most hard matters in statistical and condensed topic physics.
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Extra info for Cooperative Dynamics in Complex Physical Systems: Proceedings of the Second Yukawa International Symposium, Kyoto, Japan, August 24–27, 1988
1 Temperature dependence of the linewidth in HCr02 and LiCr02 Fig. 2 Linewidth as a function of the scaled inverse temperature, J/kT where Ev is the activation energy of the free vortex. We finally obtained the following form of the linewidth, Experimental data fit quite well the expected simple exponential law as shown in Fig. 2. 3 JS ~ 4kTKM , which is in reasonable agreement with the theoretical prediction. References 1. H. Kawamura and S. Miyashita: J. Phys. Soc. 2}, 4138 (1984) 2. H. M. Shapiro, T.
Rev. B1, 3966 (1970). Suzuki: Met. Trans. A 12, 709 (1981). 33 Successive Magnetic Ordering in a Triangular Lattice Antiferromagnet CsNiCl3 S. Maegawa 1, T. GOlD 1, and Y. 13K). 28K). 4K from NMR experiment and proposed an interesting model for these successive transitions. In their model, the spin structure in the low temperature phase below TN2 is that the spins on the triangular lattice in the c-plane form a 1200 spin structure in the ac-plane. In the intermediate phase between T~t and TN2 , only the So component parallel to the c-axis is ordered, leaving the S~ component in the c-plane to be disordered (component disorder model), as has been supported by subsequent neutron diffraction measurements (2).
2 In this paper we are concerned with a different type of experiment, in which the near-critical system is in a steadf state. This state is produced by continuous, turbulent stirring. One might anticipate that turbulent shear will strongly modify both the wave number spectrum and the lifetime of composition fluctuations. In the simple case where the shear is uniform (for example, I = ~ = const) and the system is in the one-phase region, the shear will stretch, and thereby suppress, the composition variations Ck in the mixture.