Dynamic correlations in Brownian many-body systems
- Brader, Joseph M. Soft Matter Theory, University of Fribourg, Switzerland
- Schmidt, Matthias Theoretische Physik II, Physikalisches Institut, Universität Bayreuth, Germany
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15.01.2014
Published in:
- The Journal of Chemical Physics. - 2014, vol. 140, no. 3, p. 034104
English
For classical Brownian systems driven out of equilibrium, we derive inhomogeneous two-time correlation functions from functional differentiation of the one-body density and current with respect to external fields. In order to allow for appropriate freedom upon building the derivatives, we formally supplement the Smoluchowski dynamics by a source term, which vanishes at the physical solution. These techniques are applied to obtain a complete set of dynamic Ornstein-Zernike equations, which serve for the development of approximation schemes. The rules of functional calculus lead naturally to non-Markovian equations of motion for the two-time correlators. Memory functions are identified as functional derivatives of a unique space- and time-nonlocal dissipation power functional.
- Faculty
- Faculté des sciences et de médecine
- Department
- Département de Physique
- Language
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- English
- Classification
- Physics
- License
- License undefined
- Identifiers
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- RERO DOC 209558
- DOI 10.1063/1.4861041
- Persistent URL
- https://folia.unifr.ch/unifr/documents/303572
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