Computational Study on the Working Mechanism of a Stilbene Light-Driven Molecular Rotary Motor: Sloped Minimal Energy Path and Unidirectional Nonadiabatic Photoisomerization

2012 ◽  
Vol 134 (10) ◽  
pp. 4864-4876 ◽  
Author(s):  
Fengyi Liu ◽  
Keiji Morokuma
Keyword(s):  
Computational Study ◽  
Minimal Energy ◽  
Working Mechanism ◽  
Minimal Energy Path ◽  
Rotary Motor

scholarly journals Small-time fluctuations for the bridge of a sub-Riemannian diffusion

2021 ◽  
Vol 54 (3) ◽  
pp. 549-586
Author(s):  
Ismäel BAILLEUL ◽  
Laurent MESNAGER ◽  
James NORRIS
Keyword(s):  
Diffusion Processes ◽  
Energy Functional ◽  
Small Time ◽  
Minimal Energy ◽  
Minimal Path ◽  
Time Asymptotics ◽  
Unique Path ◽  
Small Time Asymptotics ◽  
Conditioned Diffusion ◽  
Minimal Energy Path

We consider small-time asymptotics for diffusion processes conditioned by their initial and final positions, under the assumption that the diffusivity has a sub-Riemannian structure, not necessarily of constant rank. We show that, if the endpoints are joined by a unique path of minimal energy, and lie outside the sub-Riemannian cut locus, then the fluctuations of the conditioned diffusion from the minimal energy path, suitably rescaled, converge to a Gaussian limit. The Gaussian limit is characterized in terms of the bicharacteristic flow, and also in terms of a second variation of the energy functional at the minimal path, the formulation of which is new in this context.

scholarly journals Minimal Energy Path Planning for Wireless Robots

2009 ◽  
Vol 14 (3) ◽  
pp. 309-321 ◽  
Author(s):  
Chia Ching Ooi ◽  
Christian Schindelhauer
Keyword(s):  
Path Planning ◽  
Minimal Energy ◽  
Minimal Energy Path

The three-dimensional structure of frozen-hydrated left- and right-handed forms of bacterial flagellar filaments from an identical serotype

1986 ◽  
Vol 44 ◽  
pp. 298-299
Author(s):  
S. Trachtenberg ◽  
D. J. DeRosier
Keyword(s):  
Ionic Strength ◽  
Basal Body ◽  
Three Dimensional ◽  
Dimensional Structure ◽  
Protein Species ◽  
Liquid Environment ◽  
Bacterial Flagellum ◽  
Left And Right ◽  
Rotary Motor ◽  
Helical Parameters

The bacterial cell is propelled through the liquid environment by means of one or more rotating flagella. The bacterial flagellum is composed of a basal body (rotary motor), hook (universal coupler), and filament (propellor). The filament is a rigid helical assembly of only one protein species — flagellin. The filament can adopt different morphologies and change, reversibly, its helical parameters (pitch and hand) as a function of mechanical stress and chemical changes (pH, ionic strength) in the environment.

CAD of a direct drive rotary motor based on giant magnetostrictive alloys

1998 ◽  
Vol 08 (PR2) ◽  
pp. Pr2-785-Pr2-788
Author(s):  
M. E.H. Benbouzid ◽  
G. Reyne ◽  
G. Meunier
Keyword(s):  
Direct Drive ◽  
Rotary Motor
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