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Analytical results for a coagulation/decoagulation model on an inhomogeneous lattice

by Nicolas Crampe

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Submission summary

Authors (as registered SciPost users): Nicolas Crampé
Submission information
Preprint Link:  (pdf)
Date accepted: 2017-02-14
Date submitted: 2017-02-09 01:00
Submitted by: Crampé, Nicolas
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • Condensed Matter Physics - Theory
  • Mathematical Physics
Approach: Theoretical


We show that an inhomogeneous coagulation/decoagulation model can be mapped to a quadratic fermionic model via a Jordan-Wigner transformation. The spectrum for this inhomogeneous model is computed exactly and the spectral gap is described for some examples. We construct our inhomogeneous model from two different homogeneous models joined by one special bond (impurity). The homogeneous models we started with are the coagulation/decoagulation models studied previously using the Jordan-Wigner transformation.

Published as SciPost Phys. 2, 006 (2017)

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