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March 25, 2003 10:5 WSPC/Guidelines AO02DDAP2 International Journal of Modern Physics B
 

Summary: March 25, 2003 10:5 WSPC/Guidelines AO02DDAP2
International Journal of Modern Physics B
c World Scientific Publishing Company
CRITICAL PHENOMENA NEAR BIFURCATIONS IN
NONEQUILIBRIUM SYSTEMS
GUENTER AHLERS
JAECHUL OH
Department of Physics and IQUEST, University of California
Santa Barbara CA 93106 USA
Received (received date)
Revised (revised date)
The usual deterministic description of spatially-extended nonlinear dissipative systems
far from equilibrium yields a sharp bifurcation point at a crtical value R = Rc of
the control parameter where the system makes a transition from the spatially uniform
ground state to a state with spatial variation. However, when the effect of thermal noise
is considered, then even below the bifurcation there are fluctuations of the macroscopic
variables away from the uniform state and the relevant fields, although they have zero
mean, have a positive mean square. Here we review measurements of the properties of
these fluctuations. In the case of Rayleigh-B´enard convection (RBC) in common fluids,
fluctuation amplitudes are small and the exponent of the powerlaw which describes

  

Source: Ahlers, Guenter - Department of Physics, University of California at Santa Barbara

 

Collections: Physics