论文标题

催化胶体之间的非平衡相互作用:边界条件和穿透深度

Non-Equilibrium Interaction Between Catalytic Colloids: Boundary Conditions and Penetration Depth

论文作者

Grosberg, Alexander Y., Rabin, Yitzhak

论文摘要

Spherical colloids that catalyze the interconversion reaction $A \leftrightharpoons B$ between solute molecules $A$ and $B$ whose concentration at infinity is maintained away from equilibrium effectively interact due to the non-uniform fields of solute concentrations.我们表明,这种远距离$ 1/r $的相互作用是通过表面上让人联想到但与静电筛选的机制抑制的:催化活性将溶质分子的浓度推向其平衡值,并降低化学不平衡,从而驱动胶体之间的相互作用。施加的非平衡边界条件会导致多种几何依赖性场景。虽然在3D中大部分胶体溶液中抑制了远距离相互作用(除了有限的穿透深度),但它们可以持续存在于准2D几何形状中,其中胶体而不是溶质不局限于表面,从而导致簇或wigner晶体形成,这取决于胶体之间的相互作用的信号。

Spherical colloids that catalyze the interconversion reaction $A \leftrightharpoons B$ between solute molecules $A$ and $B$ whose concentration at infinity is maintained away from equilibrium effectively interact due to the non-uniform fields of solute concentrations. We show that this long range $1/r$ interaction is suppressed via a mechanism that is superficially reminiscent but qualitatively very different from electrostatic screening: catalytic activity drives the concentrations of solute molecules towards their equilibrium values and reduces the chemical imbalance that drives the interaction between the colloids. The imposed non-equilibrium boundary conditions give rise to a variety of geometry-dependent scenarios; while long-range interactions are suppressed (except for a finite penetration depth) in the bulk of the colloid solution in 3D, they can persist in quasi-2D geometry in which the colloids but not the solutes are confined to a surface, resulting in the formation of clusters or Wigner crystals, depending on the sign of the interaction between colloids.

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