Lecture 12 Complex systems Complex systems involve the appearance of a new (“mesoscopic”) length scale, intermediate between molecular in addition to macroscopic.
Trilles, Dennis, Founder/Director/Webmaster has reference to this Academic Journal, PHwiki organized this Journal Lecture 12 The cooperative relaxation of water at the pore surface of silica glasses Complex systems Complex systems involve the appearance of a new (“mesoscopic”) length scale, intermediate between molecular in addition to macroscopic. Complex liquids (microemulsions, emulsions, organic particulate systems ) Glass as long as ming liquids in addition to polymers. Porous materials (sol-gel glasses, porous glasses, porous silicon, etc.) Biological systems ( protein solutions, membranes in addition to cell suspensions) Initial sodium borosilicate glass of the following composition (% by weight): 62.6% SiO2, 30.4% B2O3, 7%Na2O heat treatment at 6500C as long as 100h heat treatment at 4900C as long as 165h immersion in deionised water 0.5N HCL drying at 2000C rinsing in deionized water Porous borosilicate glass samples
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Commercial alkali borosilicate glass DV1 of the following composition (mol.%): 7% Na2O, 23% B2O3, 70% SiO2 Structure parameters in addition to water content 1 Sample C 3 Sample C after heating Dielectric response of the porous glass materials
3-D PLOTS OF THE DIELECTRIC LOSSES FOR THE POROUS GLASS MATERIALS Sample C Sample II Low frequency behaviour ~20 Hz High frequency behaviour ~ 100 kHz A B C A B C ( ) = B n-1, >> 1 ( ) = -i0/0 1) Jonscher Conductivity The fitting model
A – 50 kJ/mol B – 42 kJ/mol C – 67 kJ/mol D – 19 kJ/mol Ice – 60 kJ/mol I – 64 kJ/mol II – 36 kJ/mol III – 61 kJ/mol Ice – 60 kJ/mol 1st Process Dependence of the Cole-Cole parameter from ln() Temperature dependence of the dielectric strength
Parallel in addition to anti-parallel orientation B(T) anti-parallel Temperature Orientation of the relaxing dipole units parallel non-correlated system 2 Second Process V is the defect effective volume Vf is the mean free volume as long as one defect N is the number of defects in the volume of system V , where Orientation Defect
Ha is the activation energy of the reorientation Hd is the activation energy of the defect as long as mation o is the reorientation (libration) time of the restricted water molecule in the hydrated cluster is the maximum possible defect concentration The fitting results as long as the second process ( t / ) ~ e( t / , Df = 3, where Df is a fractal dimension Percolation: Transfer of electric excitation through the developed system of open pores Dielectric relaxation in percolation The Fractal Dimension of Percolation Pass
w : size distribution function , , A: empirical parameters : porosity of two phase solid-pore system Vp : volume of the whole empty space V : whole volume of the sample , : upper in addition to lower limits of self-similarity D : regular fractal dimension of the system = / : scale parameter [,1] Porous medium in terms of regular in addition to r in addition to om fractals Porosity Determination (A.Puzenko,et al., Phys. Rev. (B), 60, 14348, 1999)
Trilles, Dennis Founder/Director/Webmaster
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