Non-equilibrium Casimir-like Forces in Liquid Mixtures

Abstract

In this Letter we consider a liquid mixture confined between two thermally conducting walls subjected to a stationary temperature gradient. While in a one-component liquid non-equilibrium fluctuation forces appear inside the liquid layer only, non-equilibrium fluctuations in a mixture induce a Casimir-like force on the walls. The physical reason is that the temperature gradient induces large concentration fluctuations through the Soret effect. Unlike temperature fluctuations, non-equilibrium concentration fluctuations are also present near a perfectly thermally conducting wall. The magnitude of the fluctuation-induced Casimir force is proportional to the square of the Soret coefficient and is related to the concentration dependence of the heat and volume of mixing.

5 pages, 1 figure

References in corpus (2)

• Non equilibrium steady states: fluctuations and large deviations of the density and of the current
• Critical adsorption and critical Casimir forces for geometrically structured confinements

Cited by in corpus (21)

• Collective behavior of colloids due to critical Casimir interactions
• Nonadditivity of Critical Casimir Forces
• Critical Casimir Effect: Exact Results
• Stresses in non-equilibrium fluids: Exact formulation and coarse grained theory
• Physical origin of nonequilibrium fluctuation-induced forces in fluids
• Non-equilibrium concentration fluctuations in binary liquids with realistic boundary conditions
• Non-equilibrium forces following quenches in active and thermal matter
• Nonequilibrium fluctuation-induced Casimir pressures in liquid mixtures
• Fluctuation-induced Interactions in Micro- and Nano-systems: Survey of Some Basic Results
• Staggered Scheme for the Compressible Fluctuating Hydrodynamics of Multispecies Fluid Mixtures
• Dynamics of the critical Casimir force for a conserved order parameter after a critical quench
• Work, work fluctuations, and the work distribution in a thermal non-equilibrium steady state
• Correlations and forces in sheared fluids with or without quenching
• On the Suppression and Distortion of Non-Equilibrium Fluctuations by Transpiration
• Casimir effect between pinned particles in two-dimensional jammed systems
• Nonequilibrium mixture dynamics: A model for mobilities and its consequences
• Discontinuous change from thermally- to geometrically- dominated effective interactions in colloidal solutions
• Lattice Boltzmann Simulations of Non-Equilibrium Fluctuations in a Non-Ideal Binary Mixture
• Contrasting work fluctuations and distributions in systems with short-range and long-range correlations
• Work probability distribution for a ferromagnet with long-ranged and short-ranged correlations
• The role of dimensionality and geometry in quench-induced nonequilibrium forces