= Edwards-Anderson model
{c}
{title2=$H_J(s)=-\sum_{\{i,j\}}J_{ij}s_is_j$}
A common Ising version of the <Edwards-Anderson model> places <Ising spins> on a <lattice> with short-range, fixed random interactions $J_{ij}$. The displayed sum counts each interacting pair once; positive $J_{ij}$ favors equal <spins>, negative $J_{ij}$ favors opposite <spins>. Different samples retain different couplings. <Quenched disorder> describes this fixed-sample averaging.<Nobel Lecture: Multiple equilibria by Giorgio Parisi>[§III, equation (1), nearest-neighbour random-coupling model; the pair-counting and field conventions here are stated explicitly]{ref}
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