arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 1001.0893cond-mat.dis-nn
收藏

$m$ -组分自旋玻璃中的样品-样品涨落和键混沌

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

T. Aspelmeier, A. Braun

摘要:

我们计算了在大$m$极限下$m$分量矢量自旋玻璃的自由能$ΔF$的样品到样品的涨落的有限尺寸标度。这是使用一个变体的插值哈密顿技术是用来建立自由能波动和债券混乱之间的连接。键混沌的计算表明,自由能涨落与系统尺寸$N$的标度关系为$ΔF \sim N^μ$与${1/5}\leqμ<{3/10}$,很可能是$μ={1}{5}$.

英文摘要:

We calculate the finite size scaling of the sample-to-sample fluctuations of the free energy $ΔF$ 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 $ΔF \sim N^μ$ with ${1/5}\leqμ<{3/10}$, and very likely $μ={1}{5}$ exactly.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑