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arXiv 2607.21506cond-mat.softcond-mat.mes-hall

用于可变形颗粒转位弹性测定的统计物理框架

A statistical-physics framework for translocation elastometry of deformable particles

Pierre Ronceray

AI总结:

研究软颗粒通过窄孔时的变形问题,通过将颗粒进入视为一维布朗动力学穿过弹性势垒,求解输运问题确定两种动力学状态,提出结合两种状态测量提取颗粒变形能和几何信息的框架,用于纳米孔传感的自校准。

AI中文摘要:

一个比自身窄的孔驱动软颗粒通过时,颗粒必须变形才能通过,其通过速度取决于挤压的难度。我们提出了一个数学框架,将这种驱动的随机通过的速率测量转化为定量的力学测量。将颗粒进入视为一维布朗动力学穿过弹性势垒,精确求解输运问题并确定两种动力学状态:低驱动力时,通过是热激活的且受颗粒变形所需能量限制;高驱动力时,受摩擦限制。我们提出一个框架,通过结合这两种状态下的测量来提取颗粒的变形能和相关几何信息。该方法可用于纳米孔传感,驱动为施加电压时,此框架提供了从电流 - 电压测量到单个软纳米颗粒弹性和形状的自校准途径——转位弹性测定。

英文摘要:

A soft particle driven through a pore narrower than itself must deform to pass, and how quickly it does so is set by how hard it is to squeeze. We propose a mathematical framework for turning rate measurements of this driven, stochastic passage into quantitative mechanical measurements. Treating the entry of the particle as one-dimensional Brownian dynamics across an elastic barrier, we solve the transport problem exactly and identify two dynamical regimes: at low drive the passage is thermally activated and limited by the energy needed to deform the particle, and at high drive it is friction-limited. We propose a framework to extract the particle's deformation energy and relevant geometrical information by combining measurements in these two regimes. This method could be used in the context of nanopore sensing, where the drive is an applied voltage: the framework then provides a self-calibrating route---translocation elastometry---from a current-voltage measurement to the elasticity and shape of individual soft nanoparticles.

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