The characteristics of fractal disperse systems

Abstract

Experimental methods of determination of the fractal Experimental methods of determination of the fractal dimensions of fractal aggregates are described. The results of dimensions of fractal aggregates are described. The results of studies on aggregation of colloidal particles in different regimes studies on aggregation of colloidal particles in different regimes are discussed. Data on the hydrodynamics of colloid dispersions are discussed. Data on the hydrodynamics of colloid dispersions containing fractal aggregates and on the rheology of fractal gels containing fractal aggregates and on the rheology of fractal gels are presented. Capillary phenomena in fractal systems as well as are presented. Capillary phenomena in fractal systems as well as the structural and mechanical properties of aerogels and peculiar the structural and mechanical properties of aerogels and peculiar features of the optical properties of fractal aggregates are features of the optical properties of fractal aggregates are described. The bibliography includes 395 references described. The bibliography includes 395 references. .

Spectroscopic studies of fractal aggregates of silver nanospheres undergoing local restructuring

“…1- 4 The two objects that attracted most attention are disordered two-component composites, [5][6][7] including two-dimensional percolation films, 8 and aggregates of nanometer-sized noble metal spheres formed in colloidal solutions ͑colloidal aggregates͒. 9 The latter are subject of this paper.…”

Aggregation of Colloidal Particles Registred by Viscosity Change Measurements

“…В этом случае возникает ситуация разрушения агрегатов коллоидных частиц под воздействием сдвигового потока [7,10,11]. Исследования показали, что и в этом случае процесс уменьшения радиуса во времени подчиняется с хорошей точностью степенному закону (3), однако с отрицательным значением пока-зателя ml.…”

“…3), по-видимому, обусловлено мультифрактальным строением коллоидных агрегатов, при котором фрактальная размерность m зависит от их радиуса [11]. Такое строение характерно для коллоидных агрегатов большого размера, которые формируются в течение длительного времени в условиях отсутствия внешних воздействий; их размер и фрактальная размерность зависят также от истории воздействия на них скоростью сдвига [5,10,11] . …”

Tuned optical transmittance in single-step-derived silica aerogels through pH-controlled microstructure

“…Since the 1980s, researchers have extensively studied their fractal structures and mechanisms of formation in sol-gel processes, such as noteworthy works by Schaefer and Keefer [2,3]. Problems concerning the self-organization of these systems have also been thoroughly reviewed in surveys by Roldugin [4,5].…”