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- W2073363412 abstract "Assembling polar building blocks into a solid material by a Markov-chain process of unidirectional growth principally results in a metastable state that shows effects of macroscopic polarity. Stochastic polarity formation can be described by probabilities for the attachment of building blocks to a surface. Because of the polar symmetry of the building blocks, there is a fundamental difference in the probabilities for attaching them tip-first or back-first to growth sites at a surface. A difference in the corresponding probabilities drives the evolution of a vectorial property through a gain in configurational entropy. Examples from the mechanical, the crystalline and the biological world demonstrate growth-induced macroscopic polarity. In crystals, growth upon centrosymmetric seeds can produce twinned crystals with a sectorwise pyroelectric effect. Polarity formation in connective tissues is explained by a Markov-chain mechanism, which drives the self-assembly of collagen fibril segments. An unified stochastic growth model brings up a general concept for the formation of materials with polar properties." @default.
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- W2073363412 date "2002-10-18" @default.
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- W2073363412 title "Markov-type Evolution of Materials into a Polar State" @default.
- W2073363412 doi "https://doi.org/10.1002/1521-3765(20021018)8:20<4578::aid-chem4578>3.0.co;2-s" @default.
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