arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 2409.07620cond-mat.stat-mechcond-mat.soft
收藏

非平衡多组分共存理论

Theory of Nonequilibrium Multicomponent Coexistence

Yu-Jen Chiu, Daniel Evans, Ahmad K. Omar

AI总结:

本文提出非平衡多组分共存理论,通过扩展传统平衡概念并引入多组分主动模型B+,为高维非平衡相变提供基础框架。

摘要:

多组分相分离在生物和合成系统中都是常见的现象。热力学为确定这些过渡的相边界提供了直接的途径,用于描述处于平衡状态的系统。复杂系统在非平衡状态下广泛出现相分离,这促使了对多组分共存的真正非平衡理论的需求。在这里,我们开发了一种机械理论,将共存标准转化为熟悉的等价于状态函数的形式。我们的理论将传统的平衡概念,如物种化学势和热力学压力,扩展到非平衡系统。关键的是,虽然这些概念可能无法识别所有非平衡系统,但我们通过引入现象学多组分主动模型B+,数值验证了它们在多种系统中的存在。我们的工作建立了一个初步理解多组分共存的框架,希望可以为高维非平衡相变的全面理论奠定基础。

英文摘要:

Multicomponent phase separation is a routine occurrence in both living and synthetic systems. Thermodynamics provides a straightforward path to determine the phase boundaries that characterize these transitions for systems at equilibrium. The prevalence of phase separation in complex systems outside the confines of equilibrium motivates the need for a genuinely nonequilibrium theory of multicomponent phase coexistence. Here, we develop a mechanical theory for coexistence that casts coexistence criteria into the familiar form of equality of state functions. Our theory generalizes traditional equilibrium notions such as the species chemical potential and thermodynamic pressure to systems out of equilibrium. Crucially, while these notions may not be identifiable for all nonequilibrium systems, we numerically verify their existence for a variety of systems by introducing the phenomenological Multicomponent Active Model B+. Our work establishes an initial framework for understanding multicomponent coexistence that we hope can serve as the basis for a comprehensive theory for high-dimensional nonequilibrium phase transitions.

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。

↑