Dynamics of the critical Casimir force for a conserved order parameter after a critical quench

Abstract

Fluctuation-induced forces occur generically when long-ranged correlations (e.g., in fluids) are confined by external bodies. In classical systems, such correlations require specific conditions, e.g., a medium close to a critical point. On the other hand, long-ranged correlations appear more commonly in certain non-equilibrium systems with conservation laws. Consequently, a variety of non-equilibrium fluctuation phenomena, including fluctuation-induced forces, have been discovered and explored recently. Here, we address a long-standing problem of non-equilibrium critical Casimir forces emerging after a quench to the critical point in a confined fluid with order-parameter-conserving dynamics and non-symmetry-breaking boundary conditions. The interplay of inherent (critical) fluctuations and dynamical non-local effects (due to density conservation) gives rise to striking features, including correlation functions and forces exhibiting oscillatory time-dependences. Complex transient regimes arise, depending on initial conditions and the geometry of the confinement. Our findings pave the way for exploring a wealth of non-equilibrium processes in critical fluids (e.g., fluctuation-mediated self-assembly or aggregation). In certain regimes, our results are applicable to active matter.

arXiv comment38 pages, 11 figures

References in corpus (46)

• Theory of Phase Ordering Kinetics
• Critical Phenomena and Renormalization-Group Theory
• The `Friction' of Vacuum, and other Fluctuation-Induced Forces
• The Theory of Boundary Critical Phenomena
• Ageing Properties of Critical Systems
• Cluster phases and bubbly phase separation in active fluids: Reversal of the Ostwald process
• Tunability of Critical Casimir Interactions by Boundary Conditions
• Critical Dynamics in a Binary Fluid: Simulations and Finite-size Scaling
• Giant Casimir effect in fluids in non-equilibrium steady states
• Critical dynamics in thin films
• Crossover of Critical Casimir forces between different surface universality classes
• Thermodynamic Casimir effects involving interacting field theories with zero modes
• From bulk to microphase separation in scalar active matter: A perturbative renormalization group analysis
• Symmetry based determination of space-time functions in nonequilibrium growth processes
• Non-equilibrium Casimir-like Forces in Liquid Mixtures
• Fluctuation-induced forces in periodic slabs: Breakdown of epsilon expansion at the bulk critical point and revised field theory
• Relaxation phenomena at criticality
• Diversity of critical behavior within a universality class
• Nonequilibrium critical dynamics of the ferromagnetic Ising model with Kawasaki dynamics
• Universal Short-Time Behavior in Critical Dynamics near Surfaces
• The out of equilibrium behavior of Casimir type fluctuation induced forces for free classical fields
• Stresses in non-equilibrium fluids: Exact formulation and coarse grained theory
• Physical origin of nonequilibrium fluctuation-induced forces in fluids
• Structure and dynamics of binary liquid mixtures near their continuous demixing transitions
• Transient Casimir forces from quenches in thermal and active matter
• Critical adsorption and critical Casimir forces in the canonical ensemble
• Dynamical Relaxation and Universal Short-Time Behavior in Finite Systems: The Renormalization Group Approach
• Dynamic critical behavior of model A in films: Zero-mode boundary conditions and expansion near four dimensions
• Fluctuating Multicomponent Lattice Boltzmann Model
• Statistical field theory with constraints: application to critical Casimir forces in the canonical ensemble
• Non-equilibrium forces following quenches in active and thermal matter
• Solvent coarsening around colloids driven by temperature gradients
• Critical free energy and Casimir forces in rectangular geometries
• Autocorrelation exponent of conserved spin systems in the scaling regime following a critical quench
• Critical Casimir amplitudes for $n$-component ${\varphi }^4$ models with O(n)-symmetry breaking quadratic boundary terms
• Direct calculation of the critical Casimir force in a binary fluid
• Dynamic surface critical behavior of systems with conserved bulk order parameter: Detailed RG analysis of the semi-infinite extensions of model B with and without nonconservative surface terms
• Surface-induced non-equilibrium dynamics and critical Casimir forces for model B in film geometry
• Simulation of static critical phenomena in non-ideal fluids with the Lattice Boltzmann method
• First-passage dynamics of linear stochastic interface models: numerical simulations and entropic repulsion effect
• Hydrodynamic fluctuation-induced forces in confined fluids
• Critical dynamics of an isothermal compressible non-ideal fluid
• Spatial correlations of hydrodynamic fluctuations in simple fluids under shear flow: A mesoscale simulation study
• Kinetics of phase-separation in the critical spherical model and local scale-invariance
• Hydrodynamic stress correlations in fluid films driven by stochastic surface forcing
• First-passage dynamics of linear stochastic interface models: weak-noise theory and influence of boundary conditions

Cited by in corpus (6)

• Transient fluctuation-induced forces in driven electrolytes after an electric field quench
• Tracer particle in a confined correlated medium: an adiabatic elimination method
• Dynamics and steady states of a tracer particle in a confined critical fluid
• Fluctuations of the critical Casimir force
• Interplay of quenching temperature and drift in Brownian dynamics
• The role of dimensionality and geometry in quench-induced nonequilibrium forces