Re: [Phys-L] Spontaneous Symmetry Breaking in Unexpected Places: A Looped Double Catenary & A Block/Plank Balanced on a Cylinder (very long)

[David Bowman <David_Bowman@georgetowncollege.edu>]

Regarding:

> > It might be amusing to plot this and to work 
> > out the critical exponent.
>
> I've worked that out.  The 'order parameter' critical exponent has 
> classical mean-field value of 1/2.  In particular, if we let 
> Δ_0 =  0.257736456168094 be the critical mean relative excess slack, then
> just above the critical point the asymmetry parameter has the form,
> σ ≈ A*( Δ - Δ_0 )^(1/2).

The above referenced graph and nine others related to the looped double catenary system are now available at
https://imgur.com/a/Xl2c9Az .

David Bowman