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RESEARCH PRODUCT

Time-Dependent Correlation and Response Functions

Walter Schirmacher

subject

CorrelationPhysicsFormalism (philosophy of mathematics)Laplace transformMathematical analysisMemory functionsInelastic scatteringResidual

description

The dynamics of liquids is discussed with the help of time-dependent correlation functions. They are related to response functions by the fluctuation-dissipation theorem. This theorem enables to relate experimentally measured inelastic scattering data to the Fourier-transformed correlation and response functions. The Laplace transform of the correlation functions can be represented as a continuous fraction with suitable residual terms (memory functions). The projection formalism of Mori and Zwanzig is introduced.

yearjournalcountryeditionlanguage
2014-05-19
https://doi.org/10.1007/978-3-319-06950-0_7