Effects of memory on the coherent scattering function of a Rouse chain

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Abstract
Truncated continued fractions are used to form estimates of the memory function associated with the coherent scattering function of a dilute polymer solution. Calculations specific to a freely draining, Rouse chain are presented for the three lowest order approximations, namely, the memoryless single-pole ’’mean field’’ approximation and the two- and three-pole approximations. The importance of memory is assessed by comparing these results with one another and with exact numerical values of the scattering function.