论文标题
固定相关介质中的示踪剂粒子：绝热消除方法
Tracer particle in a confined correlated medium: an adiabatic elimination method
论文作者
论文摘要
我们提出了一个简单而系统的程序，以确定在空间限制下，与快速波动的相关培养基结合的布朗粒子的有效动力学，该动力学与快速波动的相关培养基（以标量高斯场）为模型。该方法尤其允许我们解决介质在粒子附近抑制介质的波动的情况，如二次耦合所描述的基础哈密顿量中的二次耦合所述。由于相关培养基的限制，因此产生的有效fokker-Planck方程在空间依赖的漂移和扩散系数上。我们将方法应用于包含胶体颗粒的临界点附近的二元混合物和微乳液的简化流体模型，并分析了粒子位置的固定分布和扩散系数的校正。
We present a simple and systematic procedure to determine the effective dynamics of a Brownian particle coupled to a rapidly fluctuating correlated medium, modeled as a scalar Gaussian field, under spatial confinement. The method allows us, in particular, to address the case in which the fluctuations of the medium are suppressed in the vicinity of the particle, as described by a quadratic coupling in the underlying Hamiltonian. As a consequence of the confinement of the correlated medium, the resulting effective Fokker-Planck equation features spatially dependent drift and diffusion coefficients. We apply our method to simplified fluid models of binary mixtures and microemulsions near criticality containing a colloidal particle, and we analyze the corrections to the stationary distribution of the particle position and the diffusion coefficient.
