We provide an alternative formula for spin distributions of generic p-spin glass models. As a main application of this expression, we write spin statistics as solutions of partial differential equations and we show that the generic p-spin models satisfy multiscale Thouless–Anderson–Palmer equations as originally predicted in the work of Mézard–Virasoro (J Phys 46(8):1293–1307, 1985).
- Cavity equations
- Spin glasses
- Thouless–Anderson–Palmer equations
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics