The nonequilibrium crystallization force

¹ Institut Lumière Matière, UMR5306 Université Lyon 1- CNRS, Université de Lyon 69622 Villeurbanne, France
² Istituto Italiano di Tecnologia - Via Morego, 30, 16163 Genova, Italy

Received: 22 May 2019
Accepted: 3 September 2019

Abstract

The forces exerted by growing crystals on the surrounding materials play a major role in many geological processes, from diagenetic replacement to rock weathering and uplifting of rocks and soils. Although crystallization is a nonequilibrium process, the available theoretical predictions for these forces are based on equilibrium thermodynamics. Here we show that nonequilibrium effects can lead to a drop of the crystallization force in large pores where the crystal surface dissociates from the surrounding walls during growth. The critical pore size above which such detachment can be observed depends only on the ratio of kinetic coefficients and cannot be predicted from thermodynamics. Our conclusions are based on a physical model which accounts for the nonequilibrium kinetics of mass transport, and disjoining pressure effects within the thin liquid film separating the crystal and the surrounding walls. Our results suggest that the maximum size of the pores that can sustain crystallization forces close to the equilibrium prediction ranges from micrometers for salts to a millimetre for low-solubility minerals such as calcite. These results are discussed in the light of recent experimental observations of the growth of confined salt crystals.