Sample-to-sample fluctuations and bond chaos in the $m$-component spin glass
| Autor: | Aspelmeier, T., Braun, A. |
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| Rok vydání: | 2010 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevB.81.094439 |
| Popis: | 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. Comment: 12 pages, 1 figure |
| Databáze: | arXiv |
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