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Authors
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Chervanyov, A. ; Heinrich, G.
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Title
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Flory radius of polymers in a periodic field: An exact analytic theory
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Date
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24.11.2007
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Abstract
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We found an exact expression for the Flory radius RF of Gaussian polymers placed in an external periodic field. This solution is expressed in terms of the two parameters · and a that describe the reduced strength of an external field and the period of the field to the polymer gyration radius ratio, respectively. RF is found to be a decaying function of · for any values of a . Provided that the gyration radius is of the order of the period of an external field or less, the ground-state (GS) approximation of the exact result for RF is shown to give qualitatively incorrect results. In addition to the "ground-state" contribution, the exact solution for RF contains an additional term that is overlooked by the GS approximation. This term gives rise to the fact that RF as a function of · exhibits power law behavior (rather than exponential decay obtained from the GS result) once · exceeds the threshold value ·con .
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Journal
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European Physical Journal E 24 (2007) 271-276
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DOI
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https://doi.org/epje/i2007-10237-9
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