论文标题

使用方向依赖的对称函数的机器学习有效多体电位

Machine-learning effective many-body potentials for anisotropic particles using orientation-dependent symmetry functions

论文作者

Campos-Villalobos, Gerardo, Giunta, Giuliana, Marín-Aguilar, Susana, Dijkstra, Marjolein

论文摘要

原子环境中以球形对称性原子为中心的描述符已广泛用于构建原子和胶体系统的潜在或自由能表面,并使用机器学习技术来表征局部结构。但是,当粒子形状是非球形的,例如杆和椭圆形的情况,仅标准球形对称结构函数就会产生对局部环境的不精确描述。为了说明取向的影响,我们引入了由杆状颗粒组成的系统的两体和三体向依赖性粒子的描述符。 To demonstrate the suitability of the proposed functions, we use an efficient feature selection scheme and simple linear regression to construct coarse-grained many-body interaction potentials for computationally-efficient simulations of model systems consisting of colloidal particles with anisotropic shape: mixtures of colloidal rods and nonadsorbing polymer, hard rods enclosed by an elastic microgel shell, and ligand-stabilized nanorods.我们通过在直接共存模拟中使用它们基于方向依赖性的对称函数来验证机器学习(ML)有效多体势,以绘制胶体杆和非吸附聚合物的相位行为。我们发现与从真实二元混合物的模拟获得的结果良好一致,这表明有效相互作用由方向依赖性的ML电位很好地描述。

Spherically-symmetric atom-centered descriptors of atomic environments have been widely used for constructing potential or free energy surfaces of atomistic and colloidal systems and to characterize local structures using machine learning techniques. However, when particle shapes are non-spherical, as in the case of rods and ellipsoids, standard spherically-symmetric structure functions alone produce imprecise descriptions of local environments. In order to account for the effects of orientation, we introduce two- and three-body orientation-dependent particle-centered descriptors for systems composed of rod-like particles. To demonstrate the suitability of the proposed functions, we use an efficient feature selection scheme and simple linear regression to construct coarse-grained many-body interaction potentials for computationally-efficient simulations of model systems consisting of colloidal particles with anisotropic shape: mixtures of colloidal rods and nonadsorbing polymer, hard rods enclosed by an elastic microgel shell, and ligand-stabilized nanorods. We validate the machine-learning (ML) effective many-body potentials based on orientation-dependent symmetry functions by using them in direct coexistence simulations to map out the phase behavior of colloidal rods and non-adsorbing polymer. We find good agreement with results obtained from simulations of the true binary mixture, demonstrating that the effective interactions are well-described by the orientation-dependent ML potentials.

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