The Fluctuation-Dissipation Theorem of Colloidal Particle's energy on 2D Periodic Substrates: A Monte Carlo Study of thermal noise-like fluctuation and diffusion like Brownian motion

25th IUPAP Conference on Computational Physics

物理学;计算机科学

Najafi, Amin^1

Department of Physics, Islamic Azad University, Hamedan Branch, Hamedan 734, Iran^1

关键词: Canonical ensemble;    Colloidal particle system;    Energy configurations;    Fluctuation dissipation theorem;    Granular structuress;    Mean square fluctuation;    Screened Coulomb potentials;    Thermodynamic equilibria;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/510/1/012025/pdf
DOI  :  10.1088/1742-6596/510/1/012025

学科分类：计算机科学（综合）

来源: IOP

【 摘 要 】

Using the Monte Carlo simulations, we have calculated mean-square fluctuations in statistical mechanics, such as those for colloids energy configuration are set on square 2D periodic substrates interacting via a long range screened Coulomb potential on any specific and fixed substrate. Random fluctuations with small deviations from the state of thermodynamic equilibrium arise from the granular structure of them and appear as thermal diffusion with Gaussian distribution structure as well. The variations are showing linear form of the Fluctuation-Dissipation Theorem on the energy of particles constitutive a canonical ensemble with continuous diffusion process of colloidal particle systems. The noise-like variation of the energy per particle and the order parameter versus the Brownian displacement of sum of large number of random steps of particles at low temperatures phase are presenting a markovian process on colloidal particles configuration, too.