Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 1995 · 202 citations · 38 references
Natural SciencesChemistryPhysicsCondensed Matter PhysicsMolecular PhysicsPolymer ChemistryNeutron ScatteringNeutron Spectrum AnalysisPolymer PhysicsAnharmonic Vibrational EffectsAnharmonic VibrationsDebye ModelGlass TransitionPicosecond SpectroscopySofteningTime-dependent Neutron SpectraTime-of-flight Neutron Scattering
Neutron time-of-flight data of polybutadiene and polyisoprene in a wide temperature range around the glass transition are reported. The anharmonic part of the spectra is evaluated using a recently developed time domain Fourier transform technique. The results corroborate the recent finding of two different time domains in the dynamics, one above a crossover time of about 2 ps and the other below it. Two different interpretations of the short time behavior are considered, namely a fast Debye regime of the \ensuremath{\alpha} relaxation and a vibrational softening of the boson peak.
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Brownian motion in a field of force and the diffusion model of chemical reactions
H. A. Kramers · Physica · 1940 · 8.6K citations
Natural Sciences, Chemistry, Physics +16
On the Theory of the Brownian Motion
G. E. Uhlenbeck, L. S. Ornstein · Physical Review · 1930 · 4.5K citations