  An electron nematic is a translationally invariant state which spontaneously
breaks the discrete rotational symmetry of a host crystal. In a clean square
lattice, the electron nematic has two preferred orientations, while dopant
disorder favors one or the other orientations locally. In this way, the
electron nematic in a host crystal maps to the random field Ising model (RFIM).
Since the electron nematic has anisotropic conductivity, we associate each
Ising configuration with a resistor network, and use what is known about the
RFIM to predict new ways to test for electron nematicity using noise and
hysteresis. In particular, we have uncovered a remarkably robust linear
relation between the orientational order and the resistance anisotropy which
holds over a wide range of circumstances.
