摘要翻译:
本文研究了一维自由冷却非弹性颗粒气体的模型,其恢复系数在相对速度尺度V以下接近弹性极限。在早期(t<1/v)时,气体表现为完全非弹性粘性气体,符合早期研究的预测;在晚期(t>1/v)时,它表现出一种新的涨落主导的相序状态。与完全非弹性粘性气体相比,我们发现(i)密度分布函数,(ii)占空隙分布函数,(iii)密度结构函数和(iv)速度结构函数具有明显的标度行为。空间结构功能(iii)和(iv)违反了Porod定律。在平均场近似下,描述结构函数的指数与描述空间间隙分布函数的指数有关。
---
英文标题:
《Violation of Porod law in a freely cooling granular gas in one dimension》
---
作者:
Mahendra Shinde, Dibyendu Das, R. Rajesh
---
最新提交年份:
2007
---
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
--
---
英文摘要:
We study a model of freely cooling inelastic granular gas in one dimension, with a restitution coefficient which approaches the elastic limit below a relative velocity scale v. While at early times (t << 1/v) the gas behaves as a completely inelastic sticky gas conforming to predictions of earlier studies, at late times (t >> 1/v) it exhibits a new fluctuation dominated phase ordering state. We find distinct scaling behavior for the (i) density distribution function, (ii) occupied and empty gap distribution functions, (iii) the density structure function and (iv) the velocity structure function, as compared to the completely inelastic sticky gas. The spatial structure functions (iii) and (iv) violate the Porod law. Within a mean-field approximation, the exponents describing the structure functions are related to those describing the spatial gap distribution functions.
---
PDF链接:
https://arxiv.org/pdf/708.093