bibkey: maliliu2017embeddedbrownian authors: Lina Ma; Xiantao Li; Chun Liu year: 2017 title: From Generalized Langevin Equations to Brownian Dynamics and Embedded Brownian Dynamics doi: 10.1063/1.4962419 url: https://arxiv.org/abs/1606.03625 claim: Section II pairs a finite linear memory/friction model with its calibrated Gaussian forcing and equilibrium initial law. strata_touched: [] license: citation-only triage: anchor

Calibrated linear memory and noise

Section II, arXiv:1606.03625v2, pages 4–6, equations (4)–(10), and page 12, equations (28)–(29), keep the friction or memory operator and the Gaussian forcing covariance as a paired contract, with equilibrium initialization in the linear setting. The paper’s broader generalized-Langevin framework is not claimed for the finite graph below.

The source15 application solves its finite Ornstein–Uhlenbeck equation directly. This note supplies background for the paired-memory requirement; it does not turn a static precision matrix into a clock or a physical bath.