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arxiv: 2605.02419 · v1 · submitted 2026-05-04 · ❄️ cond-mat.soft · physics.flu-dyn

Diffusio-osmotic transport in nanochannels

Lyd\'eric Bocquet This is my paper

Pith reviewed 2026-05-08 18:30 UTC · model grok-4.3

classification ❄️ cond-mat.soft physics.flu-dyn
keywords diffusio-osmosisnanochannelsentropic transportosmosisforce balanceosmotic energy conversionsurface diffuse layersconcentration gradients
0
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The pith

Diffusio-osmosis shows that osmotic flows can occur in nanochannels without any semi-permeable membrane by treating both osmosis and diffusio-osmosis as the same entropic process.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper establishes that diffusio-osmosis arises from entropic forces acting inside thin diffuse layers next to solid walls when a concentration difference is present. These forces drive fluid and solute motion in the same way classical osmosis does, so the two phenomena become two sides of one mechanism once placed inside an Onsager framework of local and global force balances. Specifying the picture to nanochannels removes the usual requirement for a selective barrier, which means entropically driven transport can appear in any channel whose walls create a diffuse layer. A reader would care because the same mechanism then explains enhanced diffusion, rectified flows, and energy extraction in systems that lack perfect membrane selectivity. The chapter works through concrete examples to show how these flows appear and how they can be used.

Core claim

Osmosis and diffusio-osmosis are two faces of the same phenomenon, naturally embedded in an Onsager framework and quantified by local and global force balances. When diffusio-osmosis is applied to nanochannels, osmotic drivings appear without the prerequisite of semi-permeability, thereby extending the domain of entropically driven transport to a broader class of channels and membranes.

What carries the argument

The diffusio-osmotic mechanism, arising from entropic driving forces inside diffuse layers at solid boundaries and quantified by local and global force balances in an Onsager framework.

If this is right

  • Osmotic drivings arise in channels and membranes without semi-permeability.
  • Diffusio-osmosis produces enhanced diffusion under concentration gradients.
  • The same mechanism yields mechano-sensitivity in transport through nanochannels.
  • Rectified osmotic flows appear when geometry or boundary conditions break symmetry.
  • Diffusio-osmosis can be used as a lever for osmotic energy conversion from single nanopores to larger membrane modules.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • Design of artificial osmotic devices could drop the requirement for perfect membrane selectivity and rely instead on controlled surface diffuse layers.
  • Symmetric nanochannels with tunable wall properties offer a clean experimental test bed for isolating the predicted velocity from concentration gradients alone.
  • Similar force-balance reasoning may connect diffusio-osmosis to other interface flows such as thermo-osmosis when multiple gradients are present simultaneously.
  • Scaling the single-pore results to modules suggests a route to osmotic power that tolerates imperfect selectivity at the cost of lower efficiency per pore.

Load-bearing premise

Entropic driving forces inside the diffuse layers next to solid boundaries can be mapped directly onto local and global force balances inside an Onsager framework.

What would settle it

A measurement of zero net fluid velocity inside a nanochannel subjected to a controlled concentration gradient, when surface charge and ion mobility are known and the predicted diffusio-osmotic velocity is nonzero, would falsify the central claim.

Figures

Figures reproduced from arXiv: 2605.02419 by Lyd\'eric Bocquet.

Figure 1
Figure 1. Figure 1: FIG. 1 view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. Force balance on diffusio-osmosis. A gradient of view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Experimental demonstration of DO flow, from Ref. view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. From Ref. [11]: Osmotic streaming current ver view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5. From Ref. [55]: enhanced diffusion across CNT mem view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6. From Ref. [41]: Sketch of the nanofluidic experi view at source ↗
Figure 7
Figure 7. Figure 7: FIG. 7. Flow rectification with composite membranes: view at source ↗
read the original abstract

In this chapter, I will enter into the roots of entropically-driven transport with a focus on diffusio-osmotic transport in nanochannels. Diffusio-osmosis is a subtle surface transport, originating in entropic driving forces occuring within the diffuse layers at solid boundaries. Specifying diffusio-osmosis to nanochannels may first look like a marginal refinement, yet it reveals that osmotic drivings can arise in channels and membranes without the prerequisite of semi-permeability, so that diffusio-osmosis extends the domain of existence of entropically driven transport. Osmosis and diffusio-osmosis are two faces of the same phenomenon, naturally embedded in an Onsager framework and quantified by local and global force balances. This perspective clarifies why nanochannels are privileged arenas where diffusio-osmosis and its consequence do flourish. Throughout the chapter, I discuss a set of conceptually relevant examples to show how diffusio-osmosis "pops up" in various situations: as enhanced diffusion, mechano-sensitivity, rectified osmotic flows and, ultimately, as a lever for osmotic energy conversion from single nanopores to membrane modules approaching industrial reality.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

0 major / 1 minor

Summary. This perspective chapter synthesizes concepts of entropically-driven transport with a focus on diffusio-osmosis in nanochannels. It claims that osmosis and diffusio-osmosis are two faces of the same phenomenon, naturally embedded in an Onsager framework and quantified by local and global force balances. Specifying the phenomenon to nanochannels reveals that osmotic drivings can arise without semi-permeability, thereby extending the domain of entropically driven transport. The chapter discusses examples including enhanced diffusion, mechano-sensitivity, rectified osmotic flows, and osmotic energy conversion from single nanopores to membrane modules approaching industrial scale.

Significance. If the framing holds, the manuscript offers a coherent conceptual unification of osmosis and diffusio-osmosis grounded in established thermodynamic relations. It explicitly credits the absence of free parameters, ad-hoc axioms, or invented entities, relying instead on standard Onsager relations from prior literature. This synthesis clarifies the privileged role of nanochannels for such transport and has implications for applications in osmotic energy conversion. The interpretive approach provides a parameter-free view that could guide understanding in nanofluidics without introducing new mathematical inconsistencies.

minor comments (1)
  1. [Abstract] Abstract: 'occuring' is a typo and should be corrected to 'occurring'.

Simulated Author's Rebuttal

0 responses · 0 unresolved

We thank the referee for the positive summary and significance assessment of our perspective chapter on diffusio-osmotic transport in nanochannels. The recommendation for minor revision is noted; we are prepared to incorporate any specific minor suggestions in the revised manuscript.

Circularity Check

0 steps flagged

No significant circularity detected

full rationale

The manuscript is a perspective chapter that synthesizes established concepts of entropically driven transport, framing osmosis and diffusio-osmosis within standard Onsager relations and local/global force balances drawn from prior literature. No new mathematical derivations, fitted parameters, or falsifiable predictions are advanced that reduce by construction to inputs internal to the paper; the central interpretive claim extends known diffuse-layer physics to nanochannels without introducing self-definitional steps, fitted-input predictions, or load-bearing self-citation chains. The framework remains self-contained against external benchmarks of classical irreversible thermodynamics.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

This is a conceptual review chapter; it does not introduce new fitted parameters, new entities, or ad-hoc axioms beyond standard thermodynamic relations already established in the field.

axioms (1)
  • standard math Onsager reciprocal relations apply to the coupled transport phenomena described
    Invoked to embed osmosis and diffusio-osmosis as two faces of the same framework.

pith-pipeline@v0.9.0 · 5501 in / 1210 out tokens · 42508 ms · 2026-05-08T18:30:32.520918+00:00 · methodology

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Reference graph

Works this paper leans on

134 extracted references · 134 canonical work pages · 1 internal anchor

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