Ferenc Pazmandi

REVISITING THE THEORY OF FINITE SIZE SCALING IN DISORDERED SYSTEMS : NU CAN BE LESS THAN 2/D

For phase transitions in disordered systems, an exact theorem provides a bound on the finite size correlation length exponent:

Mean-field theory of the localization transition of hard-core bosons.

{\ensuremath{\nu}}_{\mathrm{FS}}\ensuremath{\ge}2/d

Self-Organized Criticality in the Hysteresis of the Sherrington-Kirkpatrick Model

. It is believed that the intrinsic

DIRECT MOTT INSULATOR-TO-SUPERFLUID TRANSITION IN THE PRESENCE OF DISORDER

\ensuremath{\nu}

Reversal-field memory in magnetic hysteresis

satisfies the same bound. We argue that the standard averaging introduces a noise and a new diverging length scale. For

Spin glasses with cubic anisotropy

\ensuremath{\nu}\ensuremath{\le}2/d

Ground state of XY models of interacting spins in a transverse field

self-averaging breaks down, disconnecting

Learning dynamics: a replica approach

\ensuremath{\nu}

Reversal-Field Memory in the Hysteresis of Spin Glasses

from

Statistical Mechanics of Prion Diseases

{\ensuremath{\nu}}_{\mathrm{FS}}