3 papers
cond-mat.dis-nn2020
Proliferation of non-linear excitations in the piecewise-linear perceptron
Antonio Sclocchi, Pierfrancesco Urbani
We investigate the properties of local minima of the energy landscape of a continuous non-convex optimization problem, the spherical perceptron with piecewise linear cost function…
cond-mat.dis-nn2020
Critical energy landscape of linear soft spheres
Silvio Franz, Antonio Sclocchi, Pierfrancesco Urbani
We show that soft spheres interacting with a linear ramp potential when overcompressed beyond the jamming point fall in an amorphous solid phase which is critical, mechanically mar…
cond-mat.dis-nn2019
Critical jammed phase of the linear perceptron
Silvio Franz, Antonio Sclocchi, Pierfrancesco Urbani
Criticality in statistical physics naturally emerges at isolated points in the phase diagram. Jamming of spheres is not an exception: varying density, it is the critical point that…