#Veritasium #video on #Braess’s paradox
on 02025-07-02#Steve-Mould #video on #Braess’s paradox
on 02024-09-10this #paper about muscle myosin folding mentions “negative #stiffness at the point where all cross-bridges collectively flip... Similar mechanical behavior has been recently artificially engineered in #metamaterials by drawing on the #Braess paradox ... the mean-field type coupling in such materials is achieved via parallel connections with multiple shared links.” The references given are Cohen & Horowitz 1991 (the paper with the springs and strings) and Nicolaou and Motter 2012 in “Nat Mater”, which I guess is “Mechanical metamaterials with negative compressibility transitions” in Nature Materials.
on 02015-08-14a #paper on mechanical and electrical analogs of #Braess’s paradox, using zeners in the electrical case. Has a clear explanation of the mechanical version of the system; it depends only on the nonlinear stress-strain behavior of buckling string. (String! Not springs!) The fixed maximum length of the string corresponds to the fixed maximum voltage of the zener. On p.700 (the second page) there’s a diagram showing something like a negative-#stiffness region in this network! Also explains that nonlinearity is necessary to produce this effect, and gives a hydraulic analogue as well.
on 02015-08-14A #video of a mechanical demonstration of #Braess’s paradox using the #stiffness of springs.
on 02015-08-14A #paper on a numerically-simulated analog of the #Braess paradox in mesoscopic (? quantum-phase-coherent?) #semiconductor networks: “adding a third branch can paradoxically induce transport inefficiency that manifests itself in a sizable conductance drop of the network.” This is less interesting now that I understand Cohen & Horowitz 1991.
on 02015-08-14I wonder if #Braess’s Paradox is applicable to negative-#stiffness #metamaterials? Braess’s original formulation was, "an extension of the road network may cause a redistribution of the traffic that results in longer individual running times”, but I’m pretty sure I’ve seen this in the form of a mobile that hangs higher after you cut a thread in it.
on 02015-08-14