Samanta Alok, Ali Sk Musharaf, Ghosh Swapan K
Theoretical Chemistry Section, RC &CD Division, Bhabha Atomic Research Centre, Mumbai 400 085, India.
Phys Rev Lett. 2004 Apr 9;92(14):145901. doi: 10.1103/PhysRevLett.92.145901.
A new universal scaling law relating the self-diffusivities of the components of a binary fluid mixture to their excess entropies is derived using mode coupling theory. These scaling laws yield numerical results, for a hard sphere as well as Lennard-Jones fluid mixtures, in excellent agreement with simulation results even at a low density region, where the empirical scaling laws of Dzugutov [Nature (London) 381, 137 (1996)]] and Hoyt, Asta, and Sadigh [Phys. Rev. Lett. 85, 594 (2001)]] fail completely. A new scaling law relating the Kolmogorov-Sinai entropy to the excess entropy is also obtained.
利用模式耦合理论推导了一个新的通用标度律，该标度律将二元流体混合物各组分的自扩散系数与其超额熵联系起来。这些标度律对于硬球以及 Lennard-Jones 流体混合物给出的数值结果，即使在低密度区域，也与模拟结果非常吻合，而在该区域 Dzugutov [《自然》（伦敦）381, 137 (1996)] 和 Hoyt、Asta 以及 Sadigh [《物理评论快报》85, 594 (2001)] 的经验标度律完全失效。还得到了一个将柯尔莫哥洛夫 - 西奈熵与超额熵联系起来的新标度律。
