1 What is soft matter? |
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1 | (7) |
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1 | (1) |
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2 | (1) |
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2 | (2) |
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4 | (1) |
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1.5 What is common in soft matter? |
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5 | (1) |
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1.6 Summary of this chapter |
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6 | (1) |
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7 | (1) |
2 Soft matter solutions |
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8 | (20) |
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2.1 Thermodynamics of solutions |
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8 | (6) |
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14 | (2) |
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16 | (4) |
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20 | (2) |
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22 | (2) |
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2.6 Multi-component solutions |
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24 | (1) |
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2.7 Summary of this chapter |
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25 | (1) |
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25 | (1) |
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25 | (3) |
3 Elastic soft matter |
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28 | (23) |
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28 | (6) |
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3.2 Elasticity of a polymer chain |
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34 | (4) |
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3.3 Kuhn's theory for rubber elasticity |
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38 | (4) |
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42 | (6) |
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3.5 Summary of this chapter |
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48 | (1) |
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48 | (1) |
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48 | (3) |
4 Surfaces and surfactants |
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51 | (23) |
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51 | (5) |
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56 | (3) |
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59 | (5) |
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4.4 Inter-surface potential |
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64 | (7) |
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4.5 Summary of this chapter |
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71 | (1) |
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71 | (1) |
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71 | (3) |
5 Liquid crystals |
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74 | (19) |
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5.1 Nematic liquid crystals |
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74 | (2) |
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5.2 Mean field theory for the isotropic-nematic transition |
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76 | (4) |
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5.3 Landau-de Gennes theory |
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80 | (4) |
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5.4 Effect of a spatial gradient on the nematic order |
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84 | (5) |
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5.5 Onsager's theory for the isotropic-nematic transition of rod-like particles |
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89 | (1) |
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5.6 Summary of this chapter |
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90 | (1) |
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91 | (1) |
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91 | (2) |
6 Brownian motion and thermal fluctuations |
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93 | (21) |
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6.1 Random motion of small particles |
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93 | (4) |
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6.2 Brownian motion of a free particle |
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97 | (3) |
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6.3 Brownian motion in a potential field |
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100 | (3) |
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6.4 Brownian motion of particles of general shape |
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103 | (2) |
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6.5 Fluctuation-dissipation theorem |
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105 | (5) |
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6.6 Summary of this chapter |
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110 | (1) |
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111 | (1) |
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111 | (3) |
7 Variational principle in soft matter dynamics |
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114 | (23) |
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7.1 Variational principle for the dynamics of particle-fluid systems |
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114 | (6) |
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120 | (2) |
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7.3 Diffusion of particles in dilute solutions |
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122 | (3) |
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7.4 Diffusion of particles in concentrated solutions |
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125 | (3) |
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7.5 Rotational Brownian motion of rod-like particles |
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128 | (6) |
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7.6 Summary of this chapter |
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134 | (1) |
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135 | (1) |
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135 | (2) |
8 Diffusion and permeation in soft matter |
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137 | (28) |
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8.1 Spatial correlation in soft matter solutions |
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137 | (8) |
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8.2 Diffusio-mechanical coupling in particle sedimentation |
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145 | (3) |
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8.3 Kinetics of phase separation |
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148 | (6) |
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8.4 Diffusio-mechanical coupling in gels |
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154 | (7) |
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8.5 Summary of this chapter |
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161 | (1) |
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162 | (1) |
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162 | (3) |
9 Flow and deformation of soft matter |
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165 | (32) |
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9.1 Mechanical properties of soft matter |
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166 | (5) |
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171 | (4) |
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9.3 Viscoelasticity of non-entangled polymers |
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175 | (6) |
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9.4 Viscoelasticity of entangled polymers |
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181 | (8) |
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189 | (5) |
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9.6 Summary of this chapter |
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194 | (1) |
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195 | (1) |
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195 | (2) |
10 Ionic soft matter |
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197 | (25) |
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10.1 Dissociation equilibrium |
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198 | (3) |
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201 | (3) |
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10.3 Ion distribution near interfaces |
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204 | (8) |
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10.4 Electrokinetic phenomena |
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212 | (8) |
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10.5 Summary of this chapter |
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220 | (1) |
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221 | (1) |
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221 | (1) |
Appendix A: Continuum mechanics |
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222 | (8) |
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A.1 Forces acting in a material |
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222 | (1) |
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222 | (2) |
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A.3 Constitutive equations |
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224 | (1) |
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A.4 Work done to the material |
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224 | (2) |
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A.5 Ideal elastic material |
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226 | (2) |
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228 | (2) |
Appendix B: Restricted free energy |
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230 | (6) |
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B.1 Systems under constraint |
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230 | (1) |
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B.2 Properties of the restricted free energy |
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231 | (1) |
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B.3 Method of constraining force |
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232 | (1) |
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B.4 Example 1: Potential of mean force |
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233 | (1) |
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B.5 Example 2: Landau-de Gennes free energy of liquid crystals |
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234 | (2) |
Appendix C: Variational calculus |
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236 | (3) |
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C.1 Partial derivatives of functions |
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236 | (1) |
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C.2 Functional derivatives of functionals |
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237 | (2) |
Appendix D: Reciprocal relation |
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239 | (5) |
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D.1 Hydrodynamic definition of the generalized frictional force |
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239 | (1) |
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D.2 Hydrodynamic proof of the reciprocal relation |
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240 | (2) |
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D.3 Onsager's proof of the reciprocal relation |
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242 | (2) |
Appendix E: Statistical mechanics for material response and fluctuations |
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244 | (8) |
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244 | (1) |
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E.2 Time correlation functions |
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245 | (1) |
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E.3 Equilibrium responses |
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246 | (2) |
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E.4 Non-equilibrium responses |
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248 | (2) |
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E.5 Generalized Einstein relation |
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250 | (2) |
Appendix F: Derivation of the Smoluchowskii equation from the Langevin equation |
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252 | (3) |
Index |
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255 | |