域增长问题中的光谱能量转移。

IF 2.2 3区物理与天体物理 Q2 PHYSICS, FLUIDS & PLASMAS

Physical Review E Pub Date : 2024-10-01 DOI:10.1103/PhysRevE.110.044130

Pradeep Kumar Yadav, Mahendra Kumar Verma, Sanjay Puri

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引用次数: 0

摘要

在畴增长过程中，小结构逐渐消失，留下大结构。我们研究了两个标准畴增长模型中的频谱能量转移：（a）动态守恒的卡恩-希利亚德（Cahn-Hilliard，CH）方程和（b）动态非守恒的时变金兹堡-朗道（Time-dependent Ginzburg-Landau，TDGL）方程。这些方程中的非线性项会耗散波动，并促进傅立叶模式之间的能量转移。在 TDGL方程中，只有j(k=0,t)模式存活，阶次参数j(r,t)接近于j=+1或-1的均匀状态。另一方面，由于守恒定律的存在，CH 方程中没有 ϕ（k=0,t）模式的动力学特性，这凸显了这两个方程不同的动力学特性。

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Spectral energy transfers in domain growth problems.

In the domain growth process, small structures gradually vanish, leaving behind larger ones. We investigate spectral energy transfers in two standard models for domain growth: (a) the Cahn-Hilliard (CH) equation with conserved dynamics and (b) the time-dependent Ginzburg-Landau (TDGL) equation with nonconserved dynamics. The nonlinear terms in these equations dissipate fluctuations and facilitate energy transfers among Fourier modes. In the TDGL equation, only the ϕ(k=0,t) mode survives, and the order parameter ϕ(r,t) approaches a uniform state with ϕ=+1 or -1. On the other hand, there is no dynamics of the ϕ(k=0,t) mode in the CH equation due to the conservation law, highlighting the different dynamics of these equations.

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来源期刊

Physical Review E PHYSICS, FLUIDS & PLASMASPHYSICS, MATHEMAT-PHYSICS, MATHEMATICAL

CiteScore

4.50

自引率

16.70%

发文量

2110

期刊介绍： Physical Review E (PRE), broad and interdisciplinary in scope, focuses on collective phenomena of many-body systems, with statistical physics and nonlinear dynamics as the central themes of the journal. Physical Review E publishes recent developments in biological and soft matter physics including granular materials, colloids, complex fluids, liquid crystals, and polymers. The journal covers fluid dynamics and plasma physics and includes sections on computational and interdisciplinary physics, for example, complex networks.