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|e rakwb
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|a eng
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|a Mezzasalma, Stefano A
|e verfasserin
|4 aut
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|a Long-range correlations, geometrical structure, and transport properties of macromolecular solutions. The equivalence of configurational statistics and geometrodynamics of large molecules
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|c 2007
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|a Text
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|a ohne Hilfsmittel zu benutzen
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|2 rdamedia
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|a Date Completed 08.01.2008
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|a Date Revised 27.11.2007
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|a published: Print-Electronic
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|a Citation Status MEDLINE
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|a A special theory of Brownian relativity was previously proposed to describe the universal picture arising in ideal polymer solutions. In brief, it redefines a Gaussian macromolecule in a 4-dimensional diffusive spacetime, establishing a (weak) Lorentz-Poincaré invariance between liquid and polymer Einstein's laws for Brownian movement. Here, aimed at inquiring into the effect of correlations, we deepen the extension of the special theory to a general formulation. The previous statistical equivalence, for dynamic trajectories of liquid molecules and static configurations of macromolecules, and rather obvious in uncorrelated systems, is enlarged by a more general principle of equivalence, for configurational statistics and geometrodynamics. Accordingly, the three geodesic motion, continuity, and field equations could be rewritten, and a number of scaling behaviors were recovered in a spacetime endowed with general static isotropic metric (i.e., for equilibrium polymer solutions). We also dealt with universality in the volume fraction and, unexpectedly, found that a hyperscaling relation of the form, (average size) x (diffusivity) x (viscosity)1/2 ~f(N0, phi0) is fulfilled in several regimes, both in the chain monomer number (N) and polymer volume fraction (phi). Entangled macromolecular dynamics was treated as a geodesic light deflection, entaglements acting in close analogy to the field generated by a spherically symmetric mass source, where length fluctuations of the chain primitive path behave as azimuth fluctuations of its shape. Finally, the general transformation rule for translational and diffusive frames gives a coordinate gauge invariance, suggesting a widened Lorentz-Poincaré symmetry for Brownian statistics. We expect this approach to find effective applications to solutions of arbitrarily large molecules displaying a variety of structures, where the effect of geometry is more explicit and significant in itself (e.g., surfactants, lipids, proteins)
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|a Journal Article
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|a Macromolecular Substances
|2 NLM
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|a Polymers
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|a Solutions
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|i Enthalten in
|t Langmuir : the ACS journal of surfaces and colloids
|d 1992
|g 23(2007), 25 vom: 04. Dez., Seite 12737-51
|w (DE-627)NLM098181009
|x 1520-5827
|7 nnns
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|g volume:23
|g year:2007
|g number:25
|g day:04
|g month:12
|g pages:12737-51
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