On 4-point correlation functions in simple polymer models

On 4-point correlation functions in simple polymer models

We derive an exact formula for the covariance of cartesian distances in two simple polymer models, the freely-jointed chain and a discrete flexible model with nearest-neighbor interaction. We show that even in the interaction-free case correlations exist as long as the two distances at least partial...

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Veröffentlicht in:Journal of statistical mechanics 2009-04
Hauptverfasser: Hagmann, Johannes-Geert, Kozlowski, Karol K., Theodorakopoulos, Nikos, Peyrard, Michel
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Sprache:eng
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Condensed Matter
Physics
Soft Condensed Matter
Statistical Mechanics
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container_title Journal of statistical mechanics
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creator Hagmann, Johannes-Geert
Kozlowski, Karol K.
Theodorakopoulos, Nikos
Peyrard, Michel
description We derive an exact formula for the covariance of cartesian distances in two simple polymer models, the freely-jointed chain and a discrete flexible model with nearest-neighbor interaction. We show that even in the interaction-free case correlations exist as long as the two distances at least partially share the same segments. For the interacting case, we demonstrate that the naive expectation of increasing correlations with increasing interaction strength only holds in a finite range of values. Some suggestions for future single-molecule experiments are made.
doi_str_mv 10.1088/1742-5468/2009/04/P04011
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subjects Condensed Matter
Physics
Soft Condensed Matter
Statistical Mechanics
title On 4-point correlation functions in simple polymer models
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