Pressure-Free Surface-Induced Flow by Geometric Rectification

2025/12/20 by Zheng Li, Li, Zheng
Engineering · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Micro and Nano Robotics #Nanopore and Nanochannel Transport Studies

paper · doi:10.48550/arxiv.2512.18351

openalex publication_date 2025/12/20 · openalex created_date 2025/12/24 · openalex updated_date 2026/07/28

Abstract

Pressure-driven flow collapses when confined (u∝ r²). Asymmetry rectifies surface activity (exchange or slip gradients) into axial flux at ΔP=0 despite zero net exchange. Lorentz reciprocity yields a projection law: throughput is the inner product of source with a geometry kernel. Signatures include inverted ``narrower-is-faster'' scaling (u∝ r^-1), leading-order viscosity independence, length amplification (Q∝ L), and linear superposition, defining surface-induced flow as a pressure-free Stokes-transport mode from microfluidics to physiology.

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