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arXiv 0708.0930cond-mat.stat-mech
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一维自由冷却颗粒气体中Porod定律的破坏

Violation of Porod law in a freely cooling granular gas in one dimension

Mahendra Shinde, Dibyendu Das, R. Rajesh

摘要:

本文研究了一维自由冷却非弹性颗粒气体模型,其恢复系数在相对速度标度v以下接近弹性限度。在早期(t << 1/v),气体表现为完全非弹性的粘性气体,与早期研究的预测一致,在晚期(t >> 1/v),气体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)占据和空隙分布函数,(iii)密度结构函数和(iv)速度结构函数具有不同的标度行为。空间结构函数(iii)和(iv)违反Porod定律。在平均场近似下,描述结构函数的指数与描述空间能隙分布函数的指数相关。

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.

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。

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