Is quantum simulation of turbulence within reach?
2014 ◽
Vol 12
(07n08)
◽
pp. 1560008
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Keyword(s):
3D Flow
◽
The possibility of approaching quantum simulation of "topological turbulence" is discussed. In the latter, the topological features of turbulent flow are ascribed to a purely group-theoretic and topological view through the group SDiff of volume-preserving diffeomorphisms and the Mapping Class Group for the 2D surfaces that foliate the 3D flow domain. A class of representations of the group of mapping classes for compact boundaryless surfaces is explicitly constructed in terms of the Witt–Virasoro Hopf-coalgebra and implemented in terms of su(1,1). This leads to a complex, nonlinear Hamiltonian naturally associated with the fluid diffeomorphisms that could lend itself to the quantum simulation of turbulence in Fock space.
2017 ◽
Vol 38
(7)
◽
pp. 2666-2682
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Keyword(s):
2014 ◽
Vol 07
(01)
◽
pp. 1-21
◽
Keyword(s):
2018 ◽
Vol 27
(06)
◽
pp. 1850043
◽
Keyword(s):
2017 ◽
Vol 60
(2)
◽
pp. 333-338
◽
Keyword(s):
2009 ◽
Vol 287
(3)
◽
pp. 787-804
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