Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
613387 | Journal of Colloid and Interface Science | 2006 | 4 Pages |
Abstract
The universal exponent (νrνr) of the real polymer size (i.e., the excluded volume chain) is derived from constraining the ideal coil model (νi=12) to a Minkowski-type diffusive spacetime. The square end-to-end distance was expanded in wavenumber power series, whence the leading contribution is extracted according to previously proposed Lorentz transforms acting in Brownian media. In the end, it turns out νi≃νrsin(1)νi≃νrsin(1), in good agreement with predictions of the phase transition theory for critical phenomena.
Graphical abstractScheme of length contraction (a) and time dilation (b) in the spacetime scaling of the ideal chain within a Brownian relativity approach.Figure optionsDownload full-size imageDownload as PowerPoint slide
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Physical Sciences and Engineering
Chemical Engineering
Colloid and Surface Chemistry
Authors
Stefano A. Mezzasalma,