发表机构
School of Mathematics, Nanjing University（南京大学数学系）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究自由边界条件下相互作用范围随系统尺寸增长的钉扎谐振链，在联合标度下证明经验能量测度收敛于热方程的唯一弱解。
AI 中文摘要
我们考虑一个有限二维钉扎谐振链，其相互作用范围随系统尺寸发散，并带有保守旋转噪声。在相互作用范围在微观上发散但在宏观上消失的联合标度下，我们证明了期望的经验能量测度收敛于热方程的唯一测度值弱解。
英文摘要
We consider a finite two-dimensional pinned harmonic chain with an interaction range that diverges with the system size and with conservative rotational noise. Under a joint scaling in which the interaction range diverges microscopically but vanishes macroscopically, we prove that the expected em- pirical energy measures converge to the unique measure-valued weak solution of the heat equation.
Comments35 pages
