惯性自旋系中指数热-机械群集的充分框架

IF 2.9 3区数学 Q1 MATHEMATICS, APPLIED

Physica D: Nonlinear Phenomena Pub Date : 2025-09-17 DOI:10.1016/j.physd.2025.134946

Seung-Yeal Ha , Guanghui Jin , Myeonghyeon Kim , Qirui Wang

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引用次数: 0

摘要

我们研究了两种热机械惯性自旋模型的数量群集估计。更准确地说，我们提出了一个足够的框架，导致每个热机械一致的惯性自旋模型的指数衰减。为此，我们导出了当热速度和线速度被限制在一个不变锥内时，相对动能和自旋能的微分不等式系统，然后在所提出的框架下显式地得到指数群集。文中还给出了几个数值算例，并与分析结果进行了比较。

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On sufficient frameworks for the exponential thermo-mechanical flocking in inertial spin ensembles

We study quantitative flocking estimates for two thermo-mechanical inertial spin models. More precisely, we present a sufficient framework leading to the exponential decay of each thermo-mechanically consistent inertial spin model. For this, we derive a system of differential inequalities for relative kinetic and spin energies, when thermal and linear velocities are confined in an invariant cone, and then we explicitly obtain exponential flocking under the proposed frameworks. We also provide several numerical examples and compare them with analytical results.

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来源期刊

Physica D: Nonlinear Phenomena 物理-物理：数学物理

CiteScore

7.30

自引率

7.50%

发文量

213

审稿时长

65 days

期刊介绍： Physica D (Nonlinear Phenomena) publishes research and review articles reporting on experimental and theoretical works, techniques and ideas that advance the understanding of nonlinear phenomena. Topics encompass wave motion in physical, chemical and biological systems; physical or biological phenomena governed by nonlinear field equations, including hydrodynamics and turbulence; pattern formation and cooperative phenomena; instability, bifurcations, chaos, and space-time disorder; integrable/Hamiltonian systems; asymptotic analysis and, more generally, mathematical methods for nonlinear systems.