《分形介质反应动力学》求取 ⇩

§1 分形的基本特征1

§1 Fundamental property of Fractal1

Chapter1 Fractal1

第1章 分形1

§2 分形维数4

§2 Fractal Dimension4

§3 多重分形11

§3 Multifractal12

§4 Fractal structure of Reaction Media17

第2章 非均相反应体系中的分形17

§4 反应介质的分形结构17

Chapter2 Fractal of Heterogeneous Reaction Systems17

§5 Multifractal of Distribution of Reaction probabilities on Fractal surface21

§5 分形表面上反应概率分布的多重分形21

§6 分形表面上反应选择性分布的多重分形28

§6 Multifractal of Distribution of ReactiOn selectivity on Fractal surface28

第3章 分形介质的反常扩散性质32

§7 分形渗流结构32

Chapter 3 Anomalous Diffusion on Fractal Media32

§7 Fractal percolation structure32

§8 Anomalous Diffusion coefficient on Fractal Media36

§8 分形介质的反常扩散系数36

§9 Fracton spectral Dimensionality41

§9 分形子谱维数41

§10 Scaling property of Diffusion probability Densities on Fractal Media44

§10 分形介质扩散概率密度的标度性质44

第4章 分形介质的扩散方程50

Chapter 4 Diffusion Equation on Fractal Media50

§11 Scaling Theory of Diffusion Equation on Fractal Media50

§11 分形介质扩散方程的标度理论50

§12 分形介质扩散方程的分数微分方程形式(df＝1)52

§12 Fractional Differential Equation form of Diffusion Equation on Fractal Media(df＝1)52

§13 分形介质扩散方程的分数微分方程形式(df≠1)58

§13 Fractional Differential Equation form of Diffusion Equation on Fractal Media(df≠1)58

§14 分形介质非线性扩散方程61

§14 Nonlinear Diffusion Equation on Fractal Media61

Chapter5 Property of Diffusion Controlled Reaction Rate on Fractal Media68

§15 Summaries of Classical Theory of Diffusion Controlled Reaction Rate68

§15 扩散控制反应速率经典理论概述68

第5章 分形介质扩散控制反应速率的特性68

§16 Anomalous Reaction Rate coefficient on Fractal Media72

§16 分形介质反常的反应速率系数72

§17 Memory Effect and Fractional Reaction orders74

§17 记忆效应和分数反应级数74

§18 Computer simulations and experimental study77

§18 计算机模拟和实验研究77

Chapter6 Reaction Diffusion Equation on Fractal Media82

§19 First order Reaction Diffusion Equation on Fractal Media82

§19 分形介质一级反应扩散方程82

第6章 分形介质的反应扩散方程82

§20 Property of Steady State Solution of First order Reaction Diffusion Equation on Fractal Media87

§20 分形介质一级反应扩散方程稳定态解的特性87

§21 Reaction Diffusion Equation on Fractal pore channel92

§21 分形孔通道的反应扩散方程92

§22 分形孔网络的反应扩散方程97

§22 Reaction Diffusion Equation on Fractal pore network97

Chapter7 Self-aggregating and Self-ordering Effect of Fractal Reaction102

§23 Self-aggregating and Self-ordering Effect102

§23 自凝聚和自有序效应102

第7章 分形反应的自凝聚和自有序效应102

§24 Critical Dimension of Self-aggregating Effect in Transient Reaction104

§24 暂态反应中自凝聚效应的临界维数104

§25 Critical Dimension of Self-aggregating Effect in Steady Srate Reaction110

§25 稳定态反应中自凝聚效应的临界维数110

§26 Self-aggregating and Reaction Rate116

§26 自凝聚效应与反应速率116

§27 Critical Dimension of Self-ordering，Self-ordering and Reaction Rate124

§27 自有序效应的临界维数，有序尺度与反应速率124

§28 动力学相变的ZGB模型131

第8章 分形表面反应中的动力学相变131

Chapter8 Kinetic phase Transitions in Fractal Surface Reaction131

§28 ZGB Model of Kinetic phase Transitions131

§29 Mean Field Theory of Kinetic phase Transitions133

§29 动力学相变的平均场理论133

§30 Fundamental property of Kinetic phase Transitions in Fractal Surface Reaction138

§30 分形表面动力学相变的基本特性138

§31 Size Effects of Kinetic phase Transitions in Fractal Surface Reaction142

§31 分形表面动力学相变的尺寸效应142

§32 Kinetic phase Transitions and Diffusion process on Fractal Surface145

§32 分形表面上扩散过程与动力学相变145

§33 Microscopic Mechanism of Kinetic phase Transitions147

§33 动力学相变的微观机理147

Chapter9 Nonlinear Reaction Kinetic in Fractal Media151

§34 Reaction Rules and Transition Matrix151

§34 反应规则与转变矩阵151

第9章 分形介质中非线性反应动力学151

§35 Compute Method of parameter r154

§35 计算参量r的方法154

§36 Anomalous Kinetic Behaviour in Fractal Media158

§36 分形介质中反常动力学行为158

References163

参考文献163