Fog
Fundamentals
Definition
Fog is defined as a visible aerosol consisting of tiny water droplets or ice crystals suspended in the air near the Earth's surface, reducing horizontal visibility to less than 1 kilometer (0.62 miles).[10] This phenomenon occurs when these microscopic particles scatter light sufficiently to impair sight at ground level.[11] The World Meteorological Organization (WMO) establishes the key criterion for fog as the suspension of water droplets or ice particles that limits visibility to below 1 km at the observer's height, distinguishing it from similar atmospheric obscurations.[12] In contrast, mist involves the same type of droplets but with visibility ranging from 1 to 10 km, while haze comprises dry particles such as dust or smoke that reduce visibility without high humidity or wetness. Fog is often regarded as a low-lying cloud in direct contact with the ground, forming a deck that envelops the surface rather than floating above it.[5] As a colloid, fog represents a dispersion of the liquid phase (water droplets) within a gaseous medium (air), where the particles remain stably airborne due to their small size, typically preventing immediate precipitation. In colder conditions, ice fog substitutes ice crystals for liquid droplets, maintaining the same visibility-impairing properties.[9]Physical Properties
Fog is composed primarily of tiny water droplets suspended in the atmosphere, with typical diameters ranging from 5 to 50 micrometers.[13] These droplets are sufficiently small to remain aloft for extended periods without significant sedimentation, distinguishing fog from precipitation. In cases of freezing fog, the particles consist of ice crystals rather than liquid droplets, with sizes generally around 10 to 20 micrometers.[14] The liquid water content (LWC) of fog, which quantifies the mass of water per unit volume of air, typically ranges from 0.01 to 0.5 g/m³. This low density—about an order of magnitude less than in clouds—contributes to fog's relatively sparse structure while still allowing it to persist under stable atmospheric conditions. Variations in LWC influence the fog's overall density and longevity, with higher values (up to 0.5 g/m³ in dense fog) correlating with greater opacity and slower dissipation. Optically, fog exhibits a high scattering coefficient for visible light, arising from Mie scattering interactions between the incident wavelengths (approximately 0.4 to 0.7 micrometers) and the droplet sizes.[15] This process efficiently redirects light in multiple directions, reducing transmission and creating the hazy appearance that impairs visibility. The scattering efficiency peaks when droplet diameters are comparable to the light wavelength, enhancing fog's attenuating effect on solar and artificial illumination.[15] Thermally, the formation of fog droplets involves the release of latent heat during vapor condensation, which warms the surrounding air and helps sustain near-adiabatic lapse rates in the surface layer.[16] This heat liberation moderates cooling rates, often aligning the environmental lapse rate with the moist adiabatic value (around 6°C/km), thereby promoting stability and inhibiting vertical mixing near the ground.[16] Fog droplets also possess electrical conductivity due to their ability to acquire net charges from atmospheric ions or collisions, which can accelerate coalescence in the presence of electric fields.[17] Charged droplets experience enhanced attraction, increasing collision probabilities and potentially hastening droplet growth or precipitation in electrified environments.[17]Formation
Processes
Fog formation begins with thermodynamic processes that cool moist air to its dew point, leading to saturation and subsequent supersaturation necessary for droplet nucleation. The primary mechanisms involve radiative cooling, where longwave radiation emitted from the Earth's surface cools the overlying air layer, or adiabatic expansion, as air rises and expands, reducing its temperature without heat exchange.[18][4] When the air temperature reaches the dew point, relative humidity approaches 100%, and slight further cooling creates supersaturation, where water vapor exceeds the equilibrium amount over a flat surface.[18] Nucleation of fog droplets occurs through heterogeneous condensation on hygroscopic aerosol particles, such as sea salt or dust, which act as cloud condensation nuclei (CCN). This process follows Köhler theory, which describes the equilibrium vapor pressure over a curved droplet surface containing soluble material, balancing the Kelvin effect (increased vapor pressure due to curvature) and the solute effect (decreased vapor pressure due to dissolved ions).[19] The theory predicts a critical supersaturation for each nucleus size, beyond which the droplet grows unstably; for typical atmospheric CCN, this critical radius is on the order of micrometers, enabling activation at supersaturations of 0.1–1%.[20] Once nucleated, droplets grow primarily by diffusion of water vapor from the supersaturated environment to the droplet surface. The mass growth rate is governed by Fick's law of diffusion, expressed as:
where $ m $ is the droplet mass, $ t $ is time, $ r $ is the droplet radius, $ D $ is the diffusion coefficient of water vapor in air (approximately 2.5 × 10^{-5} m²/s at standard conditions), $ \rho_v $ is the ambient vapor density, and $ \rho_s $ is the saturation vapor density over the droplet surface.[21] This process dominates in early fog stages, with growth rates of about 1–10 μm/hour depending on supersaturation levels./07%3A_Precipitation_Processes/7.04%3A_Liquid_Droplet_Growth_by_Diffusion)
In denser fogs, where droplet concentrations exceed 100 cm⁻³, further growth occurs via coalescence, in which droplets collide and merge. Collision kernels are driven by Brownian motion for small droplets (<10 μm), relative velocities from turbulence in the atmospheric boundary layer, or differential sedimentation for larger ones, leading to a broadening of the droplet size distribution.[22]
Evaporation reverses these growth processes when ambient relative humidity falls below 100%, causing water vapor to diffuse away from droplets, shrinking them until they may fully dissipate if subsaturation persists./13%3A_Temperature_Kinetic_Theory_and_the_Gas_Laws/13.06%3A_Humidity_Evaporation_and_Boiling) This mechanism contributes to fog dissipation, particularly under mixing with drier air aloft.[18]