## Fractal Analysis of Polymers: From Synthesis to CompositesG. V. Kozlov, Gennadiĭ Efremovich Zaikov, V. U. Novikov Contents: Structure and Properties of Polymers in Terms of the Fractal Approach; Fractal Kinetics of Radical Polymerisation of Dimethyl Diallyl Ammonium Chloride; Thermodynamics of Polymer Structure Formation in an Amorphous State; A Percolation Model of Brittle-Ductile Transition for Polyethylene; The Dependence of Diffusive Characteristics from the Size of Penetrant Molecules and Structure for Polyenthylenes; Polymer Chain Flexibility and Networks of Macromolecular Entanglements; Estimation of End-to-End Distances for a Polycarbonate Chain within the Framework of the Fractional Derivatives Theory; Molecular Weight Distribution of Poly (Dimethyl Diallyl Ammonium Chloride): Analysis within the Framework of Irreversible Aggregation Models; The Interrelation of Fluctuation Free Volume and Structure for Polymer's Amorphous State; Structural Aspects of Adhesion in Particulate-Filled Polymer Composites; The Fractal Analysis of Curing Processes of Epoxy Resins; Index. |

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### Contents

Fractal Kinetics of Radical Polymerization | 79 |

Thermodynamics of Polymer Structure Formation | 89 |

A Percolation Model of BrittleDuctile | 99 |

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A K Mikitaev according adhesion amorphous polymers Balankin Belousov calculated chain characteristics cluster model cluster network coefficient composites constant corresponds cross-linked curing curves a(t decrease density dependence determined diffusion dimension Df Dokl elastic modulus energy epoxy polymers equal equation estimated Euclidean Euclidean space experimental filler particles fluctuation free volume formation fractal analysis fractal dimension fraction fracture framework free volume microvoids function G. V. Kozlov Gazaev gelation point glass transition glass transition temperature glassy HDPE increase interfacial layer irreversible aggregation Khim Kozlov G. V. LDPE linear loosely packed matrix macromolecular coil mechanical methods microcavity microgels molecular monomer Moscow multifractal Nauk parameter PDMDAACh percolation theory percolation threshold PGE-Gr-II Phys physical polycarbonate polymer structure polymerization quasi-equilibrium ratio reaction relationship scale semi-crystalline shear shown statistical segments surface system 2DPP+HCE/DDM Temiraev temperature theoretical V A Beloshenko value df Vysokomol WS cluster