[统计数据] 一维Katz-Lebowitz-Spohn模型中的激波探针 [推广有奖]

摘要翻译：
我们考虑了一维驱动扩散介质中激波探针的最近邻Ising相互作用（KLS模型）。早期的研究基于对本系统到有效零程过程的近似映射，得出了表征探针的几个静态和动态相关函数衰减的指数连续依赖于伊辛相互作用的强度。相反，我们的数值模拟表明，在一定的相互作用强度范围内，这些指数保持不变，其值与无相互作用情况下（当介质执行ASEP时）相同。我们通过数值研究两个探针和宏观探针数的几个动力学相关函数来证明这一点。我们的结果与由Ising相互作用引起的短程关联不应影响系统的大时间和大距离性质的预期一致，这意味着标度形式与没有相互作用的介质中的标度形式保持不变。
---
英文标题：
《Shock probes in a one-dimensional Katz-Lebowitz-Spohn model》
---
作者：
Sakuntala Chatterjee and Mustansir Barma
---
最新提交年份：
2008
---
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 consider shock probes in a one-dimensional driven diffusive medium with nearest neighbor Ising interaction (KLS model). Earlier studies based on an approximate mapping of the present system to an effective zero-range process concluded that the exponents characterising the decays of several static and dynamical correlation functions of the probes depend continuously on the strength of the Ising interaction. On the contrary, our numerical simulations indicate that over a substantial range of the interaction strength, these exponents remain constant and their values are the same as in the case of no interaction (when the medium executes an ASEP). We demonstrate this by numerical studies of several dynamical correlation functions for two probes and also for a macroscopic number of probes. Our results are consistent with the expectation that the short-ranged correlations induced by the Ising interaction should not affect the large time and large distance properties of the system, implying that scaling forms remain the same as in the medium with no interactions present.
---
PDF链接：
https://arxiv.org/pdf/707.1659