Convective coupled map for simulating spatiotemporal chaos in flows

A coupled map lattices with convective nonlinearity or, for short, Convective Coupled Map (CCM) is proposed in this paper to simulate spatiotemporal chaos in fluid hows. It is found that the parameter region of spatiotemporal chaos can be determined by the maximal Liapunov exponent of its complexity time series. This simple model implies a similar physical mechanism for turbulence such that the route to spatiotemporal chaos in fluid hows can be envisaged.

微重力流体力学

目录

前言
第一章 微重力流体科学概论
一、微重力科学与微重力流体科学
1、微重力环境
2、重力的影响
3、微重力流体科学的发展
二、微重力流体力学概述
1、对流
2、扩散及输运现象
3、液滴和气泡动力学
4、多相流过程
5、残余重力效应
6、其他流体力学问题
三、微重力物理化学概述
1、临界现象
2、燃烧
3、分散体悬浮系统
4、晶体生长的物理化学问题
四、微重力流体科学的研究途径
1、微重力研究的一般途径
2、微重力实验手段
参考文献
第二章 基本方程组和流体运动特性
一、引言
二、连续性方程和迁移方程
三、动量方程
1、流体的粘性——Reynolds应力
2、动量守恒定律
3、Navier-Stokes方程
四、能量方程
1、总能量方程
2、动能方程
3、内能方程
4、粘性耗散函数
5、Fourier定律及另外二种形式的能量方程
6、不可压流体的导热方程
五、Newton流体的运动方程组及定解条件
1、基本方程组和适定性
2、定解条件
六、Boussinesq近似及适用范围
七、相似律和无量纲参数
1、利用Buckinghan〓定理导出相似参数
2、微重力流体力学的有关物理量和无量纲参数
参考文献
第三章 毛细现象以及界面的平衡和稳定
一、引言
二、表面张力的物理描述
三、液体射流的表面不稳定
1、基本方程组和基态
2、小扰动的线性化方程
3、本征值方程及其解
四、等温条件下液桥的平衡位型和稳定
1、表面张力作用下的平衡条件
2、毛细稳定性
3、旋转稳定性
第五章 液桥的流体动力学稳定理论
1、基本假设和液桥的平衡条件
2、稳定问题的数学提法
3、液桥的Liapunov稳定理论
4、特殊情形（Ω〓=μ=0）以及纯半波不稳定（n=1，m=1）
5、小扰动方程的变分方程
6、小Weber数和大Reynolds数情形的不稳定发展率
7、液桥微重力实验的结果的分析
8、讨论和结论
参考文献
第四章 对流和扩散
一、Pearson对流
1、自由面不变形时的小扰动分析
2、自由面可变形情形
3、非线性理论
4、多层不混溶液体系统
二、热毛细对流
1、矩形容器中的热毛细对流
2、柱形液桥的热毛细对流
3、半浮区液桥热毛细对流的数值模拟
4、薄层液体的热毛细对流
三、热毛细振荡对流的实验研究
1、液桥内部的温度振荡
2、热毛细对流的表面振荡
3、综合测量
四、热毛细对流的振荡机理
1、热流体波不稳定性
2、表面波不稳定性
3、有限高度液桥的线性不稳定性
4、三维不定常数值模拟
5、重力的影响
6、一种非稳定性理论
7、关于振荡的激发机制
参考文献
第五章 液滴动力学
一、等温液滴动力学
1、球形液滴的振荡
2、不混溶液体中球形液滴的振荡
3、弱非线性理论
4、实验模拟
二、非等温液滴的Marangoni迁移
1、定常线性化理论（小Reynolds数，小Marangoni数）
2、非线性理论
3、实验结果
三、液滴和气泡的相互作用
1、双气泡的轴对称理论
2、多液滴的轴对称理论
四、旋转液滴的演化序列和分叉理论
1、旋转液滴的演化
2、旋转液滴的Thomson-Tait稳定准则
3、长期稳定性和动力稳定性
4、长期稳定性真实性的实验证明
5、结论
参考文献
第六章 微重力材料流体力学
一、晶体生长过程
二、纯扩散过程
1、一维扩散过程
2、二维扩散过程
3、固-液界面弯曲对径向分凝的影响
三、浮区晶体生长
1、浮区的热毛细对流
2、浮区的熔质毛细对流
3、浮区对流的振荡特征（小Prandtl数对流）
4、耦合过程
四、溶液晶体生长
1、溶液晶体生长的相变界面过程
2、一维纯扩散过程
3、准定常溶液晶体生长过程
4、不定常溶液生长过程
五、气相晶体生长
1、气相晶体生长过程
2、一维模型
3、物理气相输运中的对流效应
4、化学气相沉积（CVD）过程
参考文献

注意在视觉刺激位置编码中的作用

There is extensive agreement that attention may play a role in spatial stimmlus coding (Lu & Proctor, 1995). Some authors investigated the effects of spatial attention on the spatial coding by using spatial cueing procedure and spatial Stroop task. The finding was that the stroop effects were modulated by spatial cueing. Three hypotheses including attentional shift account, referential coding account, and event integration account were used to explain the modulation of spatial cueing over the spatial Stroop effects. In these previous studies, on validly cued trials, cue and target not only appeared at the same location, but also in the same object, which resulted in both location and object cued. Consequently, the modulation of spatial attentional cueing over spatial Stroop effects was confounded with the role of object-based attention. In the third chapter of this dissertation, using a modification of double rectangles cueing procedure developed by Egly, Driver and Rafal (1994) and spatial Stroop task employed by Lupiáñez and Funes (2005), separate effects of spatial attention and object-based attention on the location code of visual stimuli were investigated. Across four experiments, the combined results showed that spatial Stroop effects were modulate by object-based attention, but not by location-based attention. This pattern of results could be well explained by event integration account, but not by attentional shift account and referential coding account. In the fourth chapter, on the basis of the prior chapter, whether the modulation of attentional cueing on location code occurred at the stage of perceptual identification or response choice was investigated. The findings were that object-based attention modulated spatial Stroop effects and did not modulate the Simon effects, whereas spatial attention did not modulate Stroop and Simon effects. This pattern of results partially replicated the outcome of the previous chapter. The previous studies generally argued that the conflicts of spatial Stroop task and Simon task respectively occurred at at the stage of perceptual identification and response choice. Therefore, it is likely to conclude that the modulation of attention over spatial Stroop effect was mediated by object-based attention, and this modulation occurred at the stage perceptual identification. Considering that the previous studies mostly investigated the effects of attention captured by abrupt onset on the spatial Stroop effects, few studies investigated the effects of attention captured by offset cue on the spatial Stroop effects. The aim of the fifth chapter was to investigate the role of attention induced by offset and abrupt onset cue in the spatial Stroop task. These results showed that attention elicited by offset cue or abrupt onset cue modulated the spatial Stroop effects, which reconciled with event integration account.