Sample-to-sample fluctuations and bond chaos in the $m$-component spin glass

Details Sample-to-sample fluctuations and bond chaos in the $m$-component spin glass Sample-to-sample fluctuations and bond chaos in the $m$-component spin glass

2010-01-06

arxiv.org/abs/1001.0893v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

12 pages, 1 figure

Scientific paper

We calculate the finite size scaling of the sample-to-sample fluctuations of the free energy $\Delta F$ of the $m$ component vector spin glass in the large-$m$ limit. This is accomplished using a variant of the interpolating Hamiltonian technique which is used to establish a connection between the free energy fluctuations and bond chaos. The calculation of bond chaos then shows that the scaling of the free energy fluctuaions with system size $N$ is $\Delta F \sim N^\mu$ with ${1/5}\leq\mu <{3/10}$, and very likely $\mu={1}{5}$ exactly.

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