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SUMMARY:Accurate dynamics from self-consistent memory in stochastic chemic
 al reactions with small copy numbers - Peter Sollich\, University of Goett
 ingen
DTSTART:20230124T130000Z
DTEND:20230124T140000Z
UID:TALK193453@talks.cam.ac.uk
CONTACT:Camille Scalliet
DESCRIPTION:We present a method that captures the fluctuations beyond mean
  field in chemical reactions in the regime of small copy numbers and hence
  large fluctuations\, using self-consistently determined memory: by integr
 ating information from the past we can systematically improve our approxim
 ation for the dynamics of chemical reactions. This memory emerges from a p
 erturbative treatment of the effective action of the Doi-Peliti field theo
 ry for chemical reactions. By dressing only the response functions and by 
 the self-consistent replacement of bare responses by the dressed ones\, we
  show how a very small class of diagrams contributes to this expansion\, w
 ith clear physical interpretations. From these diagrams\, a large sub-clas
 s can be further resummed to infinite order\, resulting in a method that i
 s stable even for large values of the expansion parameter or equivalently 
 large reaction rates. We demonstrate this method and its accuracy on singl
 e and multi-species binary reactions across a range of reaction constant v
 alues.\n\nFor those unable to join in person: https://maths-cam-ac-uk.zoom
 .us/j/98016675669
LOCATION:Center for Mathematical Sciences\, Lecture room MR4
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