Why does the suspended droplet suddenly collapse into the gaps?
In the Cassie-Baxter state, a droplet sits on top of the micropillars with air trapped underneath, like a person lying on a bed of nails. As the droplet evaporates, it shrinks, and the balance of forces holding the liquid above the gaps weakens. The transition to the Wenzel state occurs when the liquid front can no longer be supported and advances down the pillar sidewalls. A force-balance model that accounts for contact-line pinning and depinning at pillar edges can capture this transition for experiments on micropillared PDMS substrates and for data from other studies with different geometries [3].
The exact trigger depends on the pillar spacing. For surfaces with a pitch of 80 micrometers, the transition onset is governed by pressure-driven capillary entry: the shrinking droplet's internal pressure becomes sufficient to push liquid into the gaps [1]. For finer spacing (60 micrometers), the classical destabilization criteria are not satisfied; instead, evaporation-induced vapor confinement is proposed as the physically plausible mechanism, promoting wetting-film growth and sidewall advancement [1]. This means the same visible event—a droplet switching from suspended to collapsed—can have different physical causes depending on the surface architecture.
How do pillar geometry and droplet size set the threshold?
The stability of the Cassie-Baxter state is not fixed; it depends on the pillar geometry, the equilibrium contact angle, and the droplet volume. A transition criterion derived from the Cassie-Baxter equation and validated with three-dimensional lattice Boltzmann simulations shows that for certain combinations of these parameters the suspended state switches from metastable to unstable [2]. In practical terms, a droplet that is comfortably suspended when large may become unstable as it shrinks during evaporation, because the same pillar spacing offers less support relative to the droplet's changing curvature and pressure.
Theoretical modeling of electric-field-triggered transitions adds a related insight: for a fixed droplet volume, the critical voltage needed to force the transition increases with surface roughness on micropillar-patterned surfaces, and a smaller droplet tends to ease the critical condition for the transition [4]. Although that model addresses an applied electric field rather than evaporation, it supports the general picture that smaller droplets and certain roughness scales make the suspended state easier to destabilize. In evaporation, the droplet volume shrinks continuously, so the system is effectively marching toward the unstable region as water leaves.
What makes the transition happen earlier or later?
The timing of the transition can be shifted by additives and external fields. On micropillar-arrayed PDMS surfaces under a direct current electric field, the Cassie-Baxter to Wenzel transition was observed during evaporation of sodium dodecyl sulfate droplets at relatively low initial surfactant concentrations. For a fixed voltage, the transition occurred earlier as the initial surfactant concentration increased; for a fixed surfactant concentration, it occurred earlier as the voltage increased [5]. This shows that the collapse is not purely a geometric inevitability—surface chemistry and electrical forces can move the threshold.
Substrate temperature and colloidal particles also matter. In experiments on rectangular micropillared PDMS surfaces, substrate heating promoted meniscus-mediated secondary spreading after the transition, while colloidal particles suppressed transition-induced spreading through enhanced pinning [1]. These effects change what happens after the droplet has already collapsed, but they also imply that the state of the contact line—pinned or mobile—is part of the same force balance that governs whether and when the transition occurs.
Can the transition be predicted well enough to design a surface?
For practical purposes, the transition can be predicted with reasonable confidence when the dominant mechanism is capillary entry. The force-balance model captures the transition across the experiments reported and across substrates of various geometries from the literature [3], and the lattice Boltzmann simulations agree well with the improved transition criterion for different pillar distances, contact angles, and droplet volumes [2]. That gives designers a way to estimate whether a given pillar spacing and droplet size will remain suspended until dry.
The less settled case is the finer-pillar regime where classical criteria fail. There, the proposed mechanism—vapor confinement promoting wetting-film growth—is described as physically plausible rather than proven [1]. The transition is also observed to depend on surfactant concentration and voltage in ways that a purely geometric model does not capture [5]. So the honest answer is that the main causes are understood in outline—shrinking volume, pillar spacing, and the force balance at the contact line—but the precise trigger on very fine textures remains an active question.
Sources used in this answer
Geometry-Encoded Droplet Evaporation on Rectangular Micropillared Surfaces: From Wetting-State Transitions to Programmable Colloidal Deposit Morphology
On rectangular micropillared PDMS surfaces, the Cassie-Baxter to Wenzel transition depends on pillar geometry and temperature; for 80-micrometer pitch it is governed by pressure-driven capillary entry, while for 60-micrometer pitch evaporation-induced vapor confinement and wetting-film growth are proposed as the mechanism.
Validating the Transition Criteria from the Cassie–Baxter to the Wenzel State for Periodically Pillared Surfaces with Lattice Boltzmann Simulations
An improved transition criterion based on the Cassie-Baxter equation predicts when the suspended state becomes unstable for given pillar geometries, contact angles, and droplet volumes, and agrees with lattice Boltzmann simulations.
Water droplet evaporation on patterned surfaces: Experimental data and a phenomenological model
A force-balance model for the Cassie-Baxter to Wenzel transition accurately captures experimental observations on micropillared PDMS substrates and data from the literature for various geometries.
Electric field-triggered Cassie-Baxter-Wenzel wetting transition on textured surface
In a theoretical model of electric-field-triggered wetting transition, the critical voltage increases with surface roughness on micropillar-patterned surfaces for a fixed droplet volume, and smaller droplets ease the critical condition.
Wetting and evaporation of dilute sodium dodecyl sulfate droplets on micropillar-arrayed non-wetting surfaces under a direct current electric field
During evaporation of sodium dodecyl sulfate droplets on micropillar-arrayed PDMS under a DC electric field, the Cassie-Baxter to Wenzel transition occurred earlier with higher initial surfactant concentration at fixed voltage and earlier with higher voltage at fixed surfactant concentration.
