Scholarlink

<p>We consider a system of identical particles in <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\mathbb {R}^d\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mrow> <mi mathvariant="double-struck">R</mi> </mrow> <mi>d</mi> </msup> </math></EquationSource> </InlineEquation> which interact via some stable and regular pair potential. Under these conditions, for values of the activity from an explicitly defined small interval, a second-order asymptotic expansion in the local limit theorem for the number of particles in bounded region <i>A</i> is obtained, as <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(|A|\uparrow \mathbb {R}^d\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mrow> <mo stretchy="false">|</mo> <mi>A</mi> <mo stretchy="false">|</mo> <mo stretchy="false">↑</mo> </mrow> <msup> <mrow> <mi mathvariant="double-struck">R</mi> </mrow> <mi>d</mi> </msup> </mrow> </math></EquationSource> </InlineEquation>.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Second-Order Asymptotic Expansion in the Local Limit Theorem for the Particle Number of a Classical Gas

  • 期刊论文

  • 发表日期：

    2026年7月28日

查看全文
  • Suren Poghosyan,
  • Hans Zessin

摘要

We consider a system of identical particles in \(\mathbb {R}^d\) R d which interact via some stable and regular pair potential. Under these conditions, for values of the activity from an explicitly defined small interval, a second-order asymptotic expansion in the local limit theorem for the number of particles in bounded region A is obtained, as \(|A|\uparrow \mathbb {R}^d\) | A | ↑ R d .