Semiclassical statistical description of Fröhlich

Authors: Jordane Preto

Publish Date: 2017/02/14

Volume: 43, Issue: 2, Pages: 167-184

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Abstract

Fröhlich’s model equations describing phonon condensation in open systems of biological relevance are reinvestigated within a semiclassical statistical framework The main assumptions needed to deduce Fröhlich’s rate equations are identified and it is shown how they lead us to write an appropriate form for the corresponding master equation It is shown how solutions of the master equation can be numerically computed and can highlight typical features of the condensation effect Our approach provides much more information compared to the existing ones as it allows to investigate the time evolution of the probability density function instead of following single averaged quantities The current work is also motivated on the one hand by recent experimental evidences of longlived excited modes in the protein structure of henegg white lysozyme which were reported as a consequence of the condensation effect and on the other hand by a growing interest in investigating longrange effects of electromagnetic origin and their influence on the dynamics of biochemical reactions

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