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Drowning by numbers: topology and physics in fluid dynamics. (arXiv:1706.09454v1 [physics.hist-ph])
来源于:arXiv
Since its very beginnings, topology has forged strong links with physics and
the last Nobel prize in physics, awarded in 2016 to Thouless, Haldane and
Kosterlitz " for theoretical discoveries of topological phase transitions and
topological phases of matter", confirmed that these connections have been
maintained up to contemporary physics. To give some (very) selected
illustrations of what is, and still will be, a cross fertilization between
topology and physics, hydrodynamics provides a natural domain through the
common theme offered by the notion of vortex, relevant both in classical (\S 2)
and in quantum fluids (\S 3). Before getting into the details, I will sketch in
\S 1 a general perspective from which this intertwining between topology and
physics can be appreciated: the old dichotomy between discreteness and
continuity, first dealing with antithetic thesis, eventually appears to be made
of two complementary sides of a single coin. 查看全文>>