Finite lifetime of turbulence in shear flows
Article Abstract:
The experimental data and numerical calculations covering more than two decades of lifetimes of turbulence in shear flows are present, which shows that the lifetime does not in fact diverge but rather increases exponentially with the Reynolds number. The results have implied that turbulence in pipes is only a transient event and that the turbulent and laminar states remain dynamically connected, suggesting avenues for turbulence control.
Publication Name: Nature
Subject: Zoology and wildlife conservation
ISSN: 0028-0836
Year: 2006
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Rigorous location of phase transitions in hard optimization problems
Article Abstract:
A mathematically rigorous method for locating connection between computational complexity and phase transitions in random instances of constraint satisfaction problems is presented. The threshold location for a number of problems, including the two most-studied ones namely, random k-SAT and random graph coloring can be pinpointed by identifying critical behavior in the evolution of this distribution.
Publication Name: Nature
Subject: Zoology and wildlife conservation
ISSN: 0028-0836
Year: 2005
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