6533b7d0fe1ef96bd125b62f
RESEARCH PRODUCT
ON FRACTIONAL RELAXATION
Rudolf HilferRudolf Hilfersubject
PhysicsCondensed matter physicsSimple (abstract algebra)Applied MathematicsModeling and SimulationMathematical analysisRelaxation (physics)Geometry and TopologyRegularization (mathematics)description
Generalized fractional relaxation equations based on generalized Riemann-Liouville derivatives are combined with a simple short time regularization and solved exactly. The solution involves generalized Mittag-Leffler functions. The associated frequency dependent susceptibilities are related to symmetrically broadened Cole-Cole susceptibilities occurring as Johari Goldstein β-relaxation in many glass formers. The generalized susceptibilities exhibit a high frequency wing and strong minimum enhancement.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2003-02-01 | Fractals |