Abstract
AbstractThe effect of turbulent mixing on the model of tricritical directed percolation is studied. The turbulent advecting velocity field is modeled by means of the Kraichnan’s rapid change ensemble. The non-equilibrium critical phenomena of one-component reaction-diffusion systems are investigated employing field theoretic renormalization group technique. We give a brief overview of the field-theoretic approach to the problem including renormalization group analysis. The renormalization procedure is performed in the framework of double (\(\varepsilon \), y)-expansion scheme, where the \(\varepsilon \) is the deviation from the upper critical dimension \(d_c = 3\) and the y is the exponent describing scaling behavior of velocity fluctuations. The corresponding asymptotic behavior is analyzed in leading order of perturbation theory.KeywordsTricritical directed percolationLong-range interactionField-theoretic renormalization group
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
