scholarly journals Atomic imprinting in the absence of an intrinsic length scale

APL Materials ◽  
2020 ◽  
Vol 8 (11) ◽  
pp. 111104
Author(s):  
Chao Zhou ◽  
Amit Datye ◽  
Zheng Chen ◽  
Georg H. Simon ◽  
Xinzhe Wang ◽  
...  
Keyword(s):  
Length Scale ◽  
Intrinsic Length

Flow transitions and length scales of a channel-confined active nematic

Soft Matter ◽  
2021 ◽  
Author(s):  
Abhik Samui ◽  
Julia M. Yeomans ◽  
Sumesh P. Thampi
Keyword(s):  
Characteristic Length ◽  
Flow Regimes ◽  
Channel Width ◽  
Flow Structures ◽  
Length Scale ◽  
Length Scales ◽  
Turbulence Regime ◽  
Active Turbulence ◽  
Intrinsic Length ◽  
Flow Transitions

Different flow regimes realised by a channel-confined active nematic have a characteristic length same as channel width. Flow structures exhibit the intrinsic length scale of the fluid only in the fully developed active turbulence regime.

scholarly journals The origin of similarity fields in steady elastoplastic crack propagation under K–T loading

2010 ◽  
Vol 467 (2130) ◽  
pp. 1739-1748
Author(s):  
Jae Beom Park ◽  
Tapan Sabuwala ◽  
Gustavo Gioia
Keyword(s):  
Plastic Zone ◽  
Crack Propagation ◽  
Fracture Energy ◽  
Computer Simulations ◽  
Path Integral ◽  
Path Integrals ◽  
Mathematical Physics ◽  
Length Scale ◽  
Intrinsic Length ◽  
Specific Fracture

It has been inferred from computer simulations that the plastic-zone fields of a crack that propagates steadily under K–T loading are similarity fields. Here, we show theoretically that these similarity fields are but a manifestation of the existence of an invariant path integral. We also show that the attendant similarity variable involves an intrinsic length scale set by the specific fracture energy that flows into the crack tip. Finally, we show that where the crack is stationary there can be no similarity fields, even though there exists a (different) invariant path integral. Our results afford some new insights into the relation between similarity fields and invariant path integrals in mathematical physics.

DOES AN INTRINSIC LENGTH SCALE GENERATE PERIODICITY IN THE DISTRIBUTION OF GALAXIES?

2002 ◽  
pp. 2085-2086
Author(s):  
J.A. GONZALEZ ◽  
H. QUEVEDO ◽  
M. SALGADO ◽  
D. SUDARSKY
Keyword(s):  
Length Scale ◽  
Intrinsic Length
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