Open Conference Systems, StatPhys 27 Main Conference

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Phase Transition in the Coagulation-Fragmentation Kinetics
Pavel Dubovski

##manager.scheduler.building##: Edificio Santa Maria
##manager.scheduler.room##: Auditorio San Agustin
Date: 2019-07-10 12:00 PM – 03:45 PM
Last modified: 2019-06-14

Abstract


We found that in some cases the gelation phenomenon does not lead, as previously expected, to the complete gelation when the mass of the disperse system goes to zero. We found analytically and computationally that the mass may decay to a positive limit value. The analytical justification is based on the detailed analysis of a degenerated quasilinear equation whereas the computations possess the proper reliability thanks to the parallel computations of the adjoint problem. As a corollary, our method allows to discover phase transitions using adjoint processes.