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Eyring-Kramers law for Fokker-Planck type differential operators

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arxiv 2201.01660 v1 pith:RRFIJVZO submitted 2022-01-05 math.AP math.PRmath.SP

Jean-Francois Bony , Dorian Le Peutrec , Laurent Michel This is my paper · ORCID
classification math.APmath.PRmath.SP
keywords operatorsassumptionsdifferentialeyring-kramersfokker-plancktypeadmittingapproach
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We consider Fokker-Planck type differential operators associated with general Langevin processes admitting a Gibbs stationary distribution. Under assumptions insuring suitable resolvent estimates, we prove Eyring-Kramers formulas for the bottom of the spectrum of these operators in the low temperature regime. Our approach is based on the construction of sharp Gaussian quasimodes which avoids supersymmetry or PT-symmetry assumptions.

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