Theory of Brownian motion with the Alder-Wainwright effect
The Stokes-Boussinesq-Langevin equation, which describes the time evolution of Brownian motion with the Alder-Wainwright effect, can be treated in the framework of the theory of KMO-Langevin equations which describe the time evolution of a real, stationary Gaussian process with T-positivity (reflection positivity) originating in axiomatic quantum field theory. After proving the fluctuation-dissipation theorems for KMO-Langevin equations, the authors obtain an explicit formula for the deviation from the classical Einstein relation that occurs in the Stokes-Boussinesq-Langevin equation with a white noise as its random force. The authors interested in whether or not it can be measured experimentally.
- Research Organization:
- Hokkaido Univ., Japan
- OSTI ID:
- 6163998
- Journal Information:
- J. Stat. Phys.; (United States), Journal Name: J. Stat. Phys.; (United States) Vol. 45:5/6; ISSN JSTPB
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AXIOMATIC FIELD THEORY
BROWNIAN MOVEMENT
CORRELATION FUNCTIONS
DIFFUSION
ENERGY LOSSES
EQUATIONS
FIELD THEORIES
FLUCTUATIONS
FLUID MECHANICS
FLUIDS
FUNCTIONS
GAUSSIAN PROCESSES
HYDRODYNAMICS
KUBO FORMULA
LANGEVIN EQUATION
LOSSES
MECHANICS
NOISE
QUANTUM FIELD THEORY
SPHERES
STATISTICAL MECHANICS
STOCHASTIC PROCESSES
STOKES LAW
TIME DEPENDENCE
VARIATIONS