English

Field Theory Approach In Kinetic Reaction: Role Of Random Sources And Sinks

Statistical Mechanics 2015-05-30 v1

Abstract

In the framework of a field theoretic model obtained by second quantization of Doi-type master equation, we investigate the effects of random sources and sinks on the reaction kinetics in the master-equation description. We show that random sources and sinks significantly affect the asymptotic behavior of the model and identify two universality classes when describing them using scaling analysis. We compare the results with the Langevin-equation description of the same process.

Keywords

Cite

@article{arxiv.1109.6435,
  title  = {Field Theory Approach In Kinetic Reaction: Role Of Random Sources And Sinks},
  author = {M. Hnatich and J. Honkonen and T. Lučivjanský},
  journal= {arXiv preprint arXiv:1109.6435},
  year   = {2015}
}

Comments

Presented in the Third International Conference "Models in QFT: In Memory of A.N. Vasiliev" St. Petersburg - Petrodvorez, October 2010; will appear in Theor. Math. Phys. 169(1) 1489-1498 (2011)