TY - JOUR
T1 - 'Quarks' and 'leptons' in three dimensional patterns
AU - Newell, Alan C.
N1 - Funding Information:
This work was supported by the NSF under DMS grant 1308862 and by the Air Force Office of Scientific Research (AFOSR) Multidisciplinary University Research Initiative (MURI) grant FA 9550-10-1-0561 . It is dedicated to Enok Palm, a pioneer in the study of patterns arising in geophysical contexts. An earlier version of these ideas was published in [26] . I also want to express my appreciation to all those colleagues (in particular Nick Ercolani, Shankar Venkataramani, Yves Pomeau, Volodja Zakharov and Thierry Passot) who were willing to listen to whacky ideas with tolerance and a healthy mixture of encouragement and hard nosed criticism and skepticism.
PY - 2014
Y1 - 2014
N2 - The following questions are addressed: How did the symmetries which lead to fractional invariants arise? Can one start with systems with much simpler symmetries, say space translation and rotation, and, by stressing such systems, give rise via phase transitions to objects with natural fractional invariants? Such systems are manifold in nature. They are called pattern forming systems. One has to go no further than one's own fingertips to see examples of two dimensional cross sections of the objects which are the centerpieces of this paper.
AB - The following questions are addressed: How did the symmetries which lead to fractional invariants arise? Can one start with systems with much simpler symmetries, say space translation and rotation, and, by stressing such systems, give rise via phase transitions to objects with natural fractional invariants? Such systems are manifold in nature. They are called pattern forming systems. One has to go no further than one's own fingertips to see examples of two dimensional cross sections of the objects which are the centerpieces of this paper.
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U2 - 10.1016/j.euromechflu.2014.01.001
DO - 10.1016/j.euromechflu.2014.01.001
M3 - Article
AN - SCOPUS:84902545398
SN - 0997-7546
VL - 47
SP - 39
EP - 47
JO - European Journal of Mechanics, B/Fluids
JF - European Journal of Mechanics, B/Fluids
ER -