By Kyozi Kawasaki, T. Nagai, K. Nakashima (auth.), Professor Hajime Takayama (eds.)
Many novel cooperative phenomena present in various structures studied by way of scientists might be taken care of utilizing the uniting rules of synergetics. Examples are pissed off and random structures, polymers, spin glasses, neural networks, chemical and organic structures, and fluids. during this booklet consciousness is concentrated on major difficulties. First, how neighborhood, topological constraints (frustrations) may cause macroscopic cooperative habit: similar rules at first constructed 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, trend formation, and standard 1/f noise. the amount should be of curiosity to a person wishing to appreciate the present improvement of labor on advanced structures, that is shortly essentially the most hard matters in statistical and condensed subject physics.
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Additional resources for Cooperative Dynamics in Complex Physical Systems: Proceedings of the Second Yukawa International Symposium, Kyoto, Japan, August 24–27, 1988
6. Kawasaki: Phys. Rev. Lett. Honda: Prog. Theor. Phys. Puri: Phys. Rev. Lett. Kaneko: Phys. Lett. Kawasaki: Phys. Rev. Honda: Phys. Lett. 111(1985)367 27 Monte Carlo-Molecular Dynamics Simulation in Two-Dimensional Spin Systems C. Kawabata l , M. Takeuchil, T. R. Bishop2 lOkayama University Computer Center, Okayama 700, Japan 2Center for Non-Linear Studies, Los Alamos National Laboratory, Los Alamos, NM87545, USA In a previous report, using a combined Monte Carlo-molecular dynamics technique, we have investigated the dynamic structure factor S(q,w) on a square lattice for the isotropic Heisenberg and planar ferromagnetic Hamiltonian with nearest neighbor interaction.
The free rotation around the c-axis ceases at TN2 , but the quasi-degeneracy survives down to TD, which corresponds to the low temperature phase I. The appearance of the new peaks for H0 4 c-axis below about TD suggests that the 120· structure with 81 = 0 becomes dominant gradually in the low temperature phase II. The characteristic time constant ~c associated with the variation of 81 is estimated to be ~c » l/lHd ~ 10-6sec. This slow motion has not been detected by neutron experiments whose associated time scale is of the order of 10-usec .
A noticeable fact is that the observed TN'S from the EPR measurements are only about 10 % higher than the theoretical value of T M estimated from the known values of the relevant exchange constants. The fa~ suggests that the present substances behave as 20H TAL-AF over a wide range of temperature down to very close to TN' although the real transition must be caused inevitably by some nonideal effects such as inter layer interaction or Ising anisotropy. In this situation, one can expect that the concept of the Z2 vortex is still meaningful as the basic mechanism of the ordering process in the quasi-20H TAL-AF over the wide range of temperature in which 20 short-range ordering is highly developed.