注：局部化对干扰附近平均场态密度的影响
Note: Effect of localization on mean-field density of state near jamming
摘要：
通过引入接近边缘稳定性的概率分布函数，讨论了局域模对态密度$D(ω)$的影响。我们的理论处理再现了干扰点附近有限维的数值结果，特别地，成功地捕获了新的$D(ω)\sim ω^4$缩放，包括其前因子的压力依赖性。
英文摘要：
We discuss the effects of the localized modes on the density of state $D(ω)$ by introducing the probability distribution function of the proximity to the marginal stability. Our theoretical treatment reproduces the numerical results in finite dimensions near the jamming point., in particular, successfully captures the novel $D(ω)\sim ω^4$ scaling including its pressure dependence of the pre-factor.
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。
