Chatterjee Sakuntala, Barma Mustansir
Department of Theoretical Physics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai, India.
Phys Rev E Stat Nonlin Soft Matter Phys. 2008 Jun;77(6 Pt 1):061124. doi: 10.1103/PhysRevE.77.061124. Epub 2008 Jun 17.
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 characterizing 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.
我们考虑在具有最近邻伊辛相互作用的一维驱动扩散介质（KLS模型）中的冲击探针。早期基于将当前系统近似映射到有效零程过程的研究得出结论，表征探针几个静态和动态关联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，在相当大的相互作用强度范围内，这些指数保持不变，其值与无相互作用的情况（当介质执行非对称简单排斥过程时）相同。我们通过对两个探针以及宏观数量探针的几个动态关联函数进行数值研究来证明这一点。我们的结果与以下预期一致，即由伊辛相互作用引起的短程关联不应影响系统的长时间和大距离性质，这意味着标度形式与不存在相互作用的介质中的标度形式相同。
