摘要翻译:
我们研究了有限体积中的Kolmogorov-Johnson-Mehl-Avrami(KJMA)相变换理论。对于转换时间,我们发现关系$\tau_{\rm con}=\tau_{\rm nu}[1+f_d(q)]$。这里$d$是空间维数,$\tau_{\rm nu}$体积中的成核时间$v$和$f_d(q)$a缩放函数。它的无量纲参数是$q=\tau_{\rm ex}/\tau_{\rm nu}$,其中$\tau_{\rm ex}$是一个膨胀时间,定义为与体积直径除以膨胀速度成正比。我们在一维、二维和三维中计算$f_d(q)$。通常所考虑的通过成核或调幅分解的相转换极限是体积尺寸相关的概念,由f_d(q)$的简单幂律控制。
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英文标题:
《Finite Volume Kolmogorov-Johnson-Mehl-Avrami Theory》
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作者:
Bernd A. Berg and Santosh Dubey
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最新提交年份:
2008
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分类信息:
一级分类:Physics 物理学
二级分类:Statistical Mechanics 统计力学
分类描述:Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变,热力学,场论,非平衡现象,重整化群和标度,可积模型,湍流
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一级分类:Physics 物理学
二级分类:Materials Science 材料科学
分类描述:Techniques, synthesis, characterization, structure. Structural phase transitions, mechanical properties, phonons. Defects, adsorbates, interfaces
技术,合成,表征,结构。结构相变,力学性质,声子。缺陷,吸附质,界面
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一级分类:Physics 物理学
二级分类:High Energy Physics - Lattice 高能物理-晶格
分类描述:Lattice field theory. Phenomenology from lattice field theory. Algorithms for lattice field theory. Hardware for lattice field theory.
晶格场论。从晶格场论到现象学。格场论的算法。晶格场论硬件。
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英文摘要:
We study Kolmogorov-Johnson-Mehl-Avrami (KJMA) theory of phase conversion in finite volumes. For the conversion time we find the relationship $\tau_{\rm con} = \tau_{\rm nu} [1+f_d(q)]$. Here $d$ is the space dimension, $\tau_{\rm nu}$ the nucleation time in the volume $V$, and $f_d(q)$ a scaling function. Its dimensionless argument is $q=\tau_{\rm ex}/ \tau_{\rm nu}$, where $\tau_{\rm ex}$ is an expansion time, defined to be proportional to the diameter of the volume divided by expansion speed. We calculate $f_d(q)$ in one, two and three dimensions. The often considered limits of phase conversion via either nucleation or spinodal decomposition are found to be volume-size dependent concepts, governed by simple power laws for $f_d(q)$.
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PDF链接:
https://arxiv.org/pdf/802.0535