arXivDaily arXiv每日学术速递 周一至周五更新
北美退伍军人节(Veterans Day),12 日无更新
arXiv 1208.0207nlin.AOmath.PR
收藏

某些随机系统平衡分布的几何推导

Geometrical Derivation of Equilibrium Distributions in some Stochastic Systems

Ricardo Lopez-Ruiz, Jaime Sanudo

摘要:

在这一章中,我们提出了一个简单的几何论证,在某种程度上让我们想起了在物理科学的特定背景下,在热力学极限中正则系综和微正则系综之间的等价性。在更一般的情况下,均匀的多智能体系统,我们的结论是突出的统计等价性的体积为基础的和表面为基础的计算在这种类型的系统。

英文摘要:

In this chapter, we present a straightforward geometrical argument that in a certain way recalls us the equivalence between the canonical and the microcanonical ensembles in the thermodynamic limit for the particular context of physical sciences. In the more general context of homogeneous multi-agent systems, we conclude by highlighting the statistical equivalence of the volume-based and surface-based calculations in this type of systems.

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。

↑