Probabilistic-topological theory of systems with discrete interactions: I. System representation by a hypergraph

1988 ◽  
Vol 66 (12) ◽  
pp. 1051-1060 ◽  
Author(s):  
Wlodzimierz Klonowski

The theory presented is applicable to any system with discrete interactions, i.e., one that lacks long-range crystal-like translational symmetry but is such that any of its structural elements interacts directly with only a finite (in most cases small) number of other elements, i.e., for materials such as cross-linked polymers, superpolymers (ferrofluids, wormlike micelles, colloidal necklaces), ceramics and glasses obtained by sol-gel processes, as well as for biophysical systems such as membrane receptors, cellular aggregates, neuronal branching patterns.The theory systematizes the information one needs to represent the system by a hypergraph, which then makes possible application of the so-called difference a posteriori (DAPOST) algorithm to calculate structural characteristics of the system and structure–property relationships. It is based on probabilistic and topological considerations; thus, it is applicable to systems far from thermodynamic equilibrium and to the analysis of spatiotemporal patterns.

2016 ◽  
Vol 81 (1) ◽  
pp. 84-94 ◽  
Author(s):  
Anthony L. B. Maçon ◽  
Manon Jacquemin ◽  
Samuel J. Page ◽  
Siwei Li ◽  
Sergio Bertazzo ◽  
...  

Author(s):  
C. J. Brinker ◽  
N. K. Raman ◽  
M. N. Logan ◽  
R. Sehgal ◽  
R. A. Assink ◽  
...  

2003 ◽  
Vol 11 (3) ◽  
pp. 213-218 ◽  
Author(s):  
V.P. Privalko ◽  
T.A. Shantalii ◽  
I.L. Karpova ◽  
K.S. Dragan ◽  
E.G. Privalko

Nanomaterials ◽  
2018 ◽  
Vol 8 (1) ◽  
pp. 20 ◽  
Author(s):  
Pablo Lopez-Iscoa ◽  
Diego Pugliese ◽  
Nadia Boetti ◽  
Davide Janner ◽  
Giovanni Baldi ◽  
...  

2017 ◽  
Vol 201 ◽  
pp. 221-232 ◽  
Author(s):  
A. R. Kaija ◽  
C. E. Wilmer

Designing better porous materials for gas storage or separations applications frequently leverages known structure–property relationships. Reliable structure–property relationships, however, only reveal themselves when adsorption data on many porous materials are aggregated and compared. Gathering enough data experimentally is prohibitively time consuming, and even approaches based on large-scale computer simulations face challenges. Brute force computational screening approaches that do not efficiently sample the space of porous materials may be ineffective when the number of possible materials is too large. Here we describe a general and efficient computational method for mapping structure–property spaces of porous materials that can be useful for adsorption related applications. We describe an algorithm that generates random porous “pseudomaterials”, for which we calculate structural characteristics (e.g., surface area, pore size and void fraction) and also gas adsorption properties via molecular simulations. Here we chose to focus on void fraction and Xe adsorption at 1 bar, 5 bar, and 10 bar. The algorithm then identifies pseudomaterials with rare combinations of void fraction and Xe adsorption and mutates them to generate new pseudomaterials, thereby selectively adding data only to those parts of the structure–property map that are the least explored. Use of this method can help guide the design of new porous materials for gas storage and separations applications in the future.


2002 ◽  
Vol 740 ◽  
Author(s):  
Li-Piin Sung ◽  
Stephanie Scierka ◽  
Mana Baghai-Anaraki ◽  
Derek L. Ho

ABSTRACTMetal-oxide nanoparticles can be used to optimize UV absorption and to enhance the stiffness, toughness, and probably the service life of polymeric materials. Characterization of the nano- and microstructure dispersion of particles is necessary to optimize the structure-property relationships. Characterizations of both TiO2 particles dispersed in an acrylic-urethane matrix and TiO2 nanostructured films obtained through sol-gel synthesis are discussed. Experimental methods include microscopy (confocal, AFM) and small angle neutron scattering (SANS). Results from SANS experiments, which yield information about the cluster size of the nano-TiO2 particles and the spatial dispersion in various nanoparticle/polymer samples are presented and compared to the results of microscopy studies.


2002 ◽  
Vol 718 ◽  
Author(s):  
B.W. Olson ◽  
J.L. Skinner ◽  
C.D. Richards ◽  
R.F. Richards ◽  
D.F. Bahr

AbstractThin films of lead zirconate titanate (PZT) are currently being used in a novel MEMS device to generate power. A piezoelectric stack consisting of platinum/PZT/gold is deposited by sputtering, spin coating, and subsequent heat treatments onto a thin silicon membrane, which is cyclically polarized by a flexing motion. The membrane must withstand strains between 0.1% and 0.5% for several billion cycles to provide a useful device. This study has examined the processing-structure-property relationships in developing the PZT film for use in this device. In the sol-gel deposition of PZT, pyrolysis and crystallization temperatures have been shown to alter both microstructure and properties of the piezoelectric film. The chemistry of the PZT film has also been tailored to increase piezoelectric output for this device. Ferroelectric properties are compared to the piezoelectric outputs, and fatigue behavior is measured on bulk silicon and on membranes.


Author(s):  
Huanhuan Jia ◽  
Linfeng Peng ◽  
Chuang Yu ◽  
Li Dong ◽  
Shijie Cheng ◽  
...  

Chalcogenide-based ISSEs are summarized in view of the crystal structure. Structural characteristics, structure–property relationships, synthetic routes as well as chemical/electrochemical stability are systematically discussed in the review.


1997 ◽  
Vol 479 ◽  
Author(s):  
B. Z. Tang ◽  
H. Peng ◽  
S. M. Leung ◽  
N.-T. Yu ◽  
H. Hiraoka ◽  
...  

AbstractFullerene chemistry is booming, but how the chemical reactions affect fullerene's materials properties has seldom been studied. We have investigated optical limiting behavior of a series of fullerene derivatives, polymers, and glasses and have observed the following structure-property relationships for optical limiting in the fullerene materials: (i) The fullerene polymers with aromatic and chlorine moieties, i.e., C60-containing polycarbonate (C60-PC), polystyrene (C60- PS), and poly(vinyl chloride) (C60-PVC), limit the 8-ns pulses of 532-nm laser light more effectively than does the parent C60; (ii) the fullerene polymers with carbonyl groups, i.e., C60- containing CR-39 (C60-CR-39) and poly(methyl methacrylate), (C60-PMMA), do not enhance C60's limiting power; and (iii) the aminated fullerene derivatives, i.e., HxC60 (NHR)x [R = -(CH2CH2O)2H (1), x = 11; -(CH2)6OH (2), x = 7; -cyclo-C6H11 (3), x = 11; -(CH2)3Si(OC2H5)3 (4), x = 4], and their sol-gel glasses, i.e., 1–3/SiO2 (physical blending) and 4-SiO2 (chemical bonding), show complex limiting responses, with 4(-SiO2) performing consistently better than 1-3(/SiO2). The fullerene glasses are optically stable and their optical limiting properties remainunchanged after being subjected to continuous attack by the strong laser pulses for ca. 1 h.


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