Perspective: New directions in dynamical density functional theory
arXiv:2204.11156 · doi:10.1088/1361-648X/ac8633
Abstract
Classical dynamical density functional theory (DDFT) has become one of the central modeling approaches in nonequilibrium soft matter physics. Recent years have seen the emergence of novel and interesting fields of application for DDFT. In particular, there has been a remarkable growth in the amount of work related to chemistry. Moreover, DDFT has stimulated research on other theories such as phase field crystal models and power functional theory. In this perspective, we summarize the latest developments in the field of DDFT and discuss a variety of possible directions for future research.
15 pages, 2 figures
References in corpus (141)
- Active Particles in Complex and Crowded Environments
- Modeling Elasticity in Crystal Growth
- Dynamic Density Functional Theory of Fluids
- Langevin Equation for the Density of a System of Interacting Langevin Processes
- Dynamical density functional theory and its application to spinodal decomposition
- Topological active matter
- Phase-field-crystal models for condensed matter dynamics on atomic length and diffusive time scales: an overview
- Mean Field Fluid Behavior of the Gaussian Core Model
- Effective Interactions in Active Brownian Suspensions
- Statistical Mechanics of Active Ornstein Uhlenbeck Particles
- Classical dynamical density functional theory: from fundamentals to applications
- Aggregation of self-propelled colloidal rods near confining walls
- Derivation of the phase field crystal model for colloidal solidification
- Decoherence, Entanglement and Irreversibility in Quantum Dynamical Systems with Few Degrees of Freedom
- Dynamical density functional theory for molecular and colloidal fluids: a microscopic approach to fluid mechanics
- Traveling and resting crystals in active systems
- Polymorphism, crystal nucleation and growth in the phase-field crystal model in 2d and 3d
- Power functional theory for Brownian dynamics
- Effects of social distancing and isolation on epidemic spreading: a dynamical density functional theory model
- Dynamical Density Functional Theory For Microswimmers
- Coarse-Grained Modelling Out of Equilibrium
- Active crystals and their stability
- Power functional theory for many-body dynamics
- Path integral methods for the dynamics of stochastic and disordered systems
- Dynamical density functional theory: binary phase-separating colloidal fluid in a cavity
- Conductivity of Concentrated Electrolytes
- General Non-equilibrium Theory of Colloid Dynamics
- Density profiles of a colloidal liquid at a wall under shear flow
- Noether's Theorem in Statistical Mechanics
- Active Brownian particles at interfaces: An effective equilibrium approach
- Deriving phase field crystal theory from dynamical density functional theory: consequences of the approximations
- Dynamical Crystallites of Active Chiral Particles
- Mori-Zwanzig projection operator formalism for systems with time-dependent Hamiltonians
- A classical density functional from machine learning and a convolutional neural network
- Machine-learning free-energy functionals using density profiles from simulations
- Analytical classical density functionals from an equation learning network
- Velocity gradient power functional for Brownian dynamics
- Particle-resolved topological defects of smectic colloidal liquid crystals in extreme confinement
- Projection operators in statistical mechanics: a pedagogical approach
- Noisy bounded confidence models for opinion dynamics: the effect of boundary conditions on phase transitions
- Equilibrium dynamics of the Dean-Kawasaki model: MCT and beyond
- On the dynamics of reaction coordinates in classical, time-dependent, many-body processes
- Why Noether's Theorem applies to Statistical Mechanics
- Extended dynamical density functional theory for colloidal mixtures with temperature gradients
- Nonequilibrium polarity-induced mechanism for chemotaxis: emergent Galilean symmetry and exact scaling exponents
- A phase field crystal theory of the kinematics of dislocation lines
- Collective dynamics of active Brownian particles in three spatial dimensions: a predictive field theory
- Dynamical density functional theory for circle swimmers
- Flow and structure in nonequilibrium Brownian many-body systems
- On the diffusive-mean field limit for weakly interacting diffusions exhibiting phase transitions
- From interacting agents to density-based modeling with stochastic PDEs
- Intermittent Attractive Interactions Lead to Microphase Separation in Non-motile Active Matter
- Conductance of concentrated electrolytes: multivalency and the Wien effect
- Pair-distribution function of active Brownian spheres in two spatial dimensions: simulation results and analytic representation
- Non-Gaussian noise without memory in active matter
- Controlling the microstructure and phase behavior of confined soft colloids by active interaction switching
- Force density functional theory in- and out-of-equilibrium
- Binding of thermalized and active membrane curvature-inducing proteins
- Mechanism for the stabilization of protein clusters above the solubility curve: the role of non-ideal chemical reactions
- Jerky active matter: a phase field crystal model with translational and orientational memory
- Multi-species dynamical density functional theory for microswimmers: derivation, orientational ordering, trapping potentials, and shear cells
- Two-dimensional localized states in an active phase-field-crystal model
- Physics-constrained Bayesian inference of state functions in classical density-functional theory
- Particle-scale statistical theory for hydrodynamically induced polar ordering in microswimmer suspensions
- Dynamical density functional theory for the drying and stratification of binary colloidal dispersions
- Active interaction switching controls the dynamic heterogeneity of soft colloidal dispersions
- Phase separation of active Brownian particles in two dimensions: Anything for a quiet life
- Dynamical density functional theory based modelling of tissue dynamics: application to tumour growth
- Image Inversion and Uncertainty Quantification for Constitutive Laws of Pattern Formation
- Stratification of polymer mixtures in drying droplets: hydrodynamics and diffusion
- Collective spin modes of a trapped quantum ferrofluid
- Force balance in thermal quantum many-body systems from Noether's theorem
- Variance of fluctuations from Noether invariance
- Particle Conservation in Dynamical Density Functional Theory
- Mesoscale Defect Motion in Binary Systems: Effects of Compositional Strain and Cottrell Atmospheres
- Stochastic dynamics of chemotactic colonies with logistic growth
- Localized states in passive and active phase-field-crystal models
- Bottom-up construction of dynamic density functional theories for inhomogeneous polymer systems from microscopic simulations
- Stress in ordered systems: Ginzburg-Landau type density field theory
- Brownian dynamics simulations of hard rods in external fields and with contact interactions
- Quasicrystal formation in binary soft matter mixtures
- Identifying structural signature of dynamical heterogeneity via the local softness parameter
- Transient fluctuation-induced forces in driven electrolytes after an electric field quench
- Is there Ornstein-Zernike equation in the canonical ensemble?
- The Five Problems of Irreversibility
- Mori-Zwanzig formalism for general relativity: a new approach to the averaging problem
- Universality in Driven and Equilibrium Hard Sphere Liquid Dynamics
- Microscopic approach to entropy production
- Orientational order parameters for arbitrary quantum systems
- Phase-field crystal description of active crystallites: elastic and inelastic collisions
- Generic Theory of the Dynamic Magnetic Response of Ferrofluids
- Efficient calculation of phase coexistence and phase diagrams: application to a binary phase-field crystal model
- Rectangle--triangle soft-matter quasicrystals with hexagonal symmetry
- First-principles superadiabatic theory for the dynamics of inhomogeneous fluids
- Time scales of inertial motion in the collective dynamics of underdamped active phase field crystal systems
- Derivation and analysis of a phase field crystal model for a mixture of active and passive particles
- Dynamic self-consistent field approach for studying kinetic processes in multiblock copolymer melts
- Order-preserving dynamics in one dimension -- single-file diffusion and caging from the perspective of dynamical density functional theory
- Understanding probability and irreversibility in the Mori-Zwanzig projection operator formalism
- Mean field approach of dynamical pattern formation in underdamped active matter with short-ranged alignment and distant anti-alignment interactions
- Defect dynamics in active smectics induced by confining geometry and topology
- Well-balanced finite volume schemes for hydrodynamic equations with general free energy
- Transverse density fluctuations around the ground state distribution of counterions near one charged plate: stochastic density functional view
- Electric-field-induced oscillations in ionic fluids: a unified formulation of modified Poisson-Nernst-Planck models and its relevance to correlation function analysis
- A Finite Volume Method for Continuum Limit Equations of Nonlocally Interacting Active Chiral Particles
- Spatial Organization of Active Particles with Field Mediated Interactions
- Dynamic density functional theory for drying colloidal suspensions: Comparison of hard-sphere free-energy functionals
- Particle-conserving dynamics on the single-particle level
- Comments on the validity of the non-stationary Generalized Langevin Equation as a coarse-grained evolution equation for microscopic stochastic dynamics
- Microscopic density-functional approach to nonlinear elasticity theory
- Custom Flow in Molecular Dynamics
- Containing a pandemic: Nonpharmaceutical interventions and the "second wave"
- A Unified Theory of Free Energy Functionals and Applications to Diffusion
- Driven transport of soft Brownian particles through pore-like structures: Effective size method
- The way from microscopic many-particle theory to macroscopic hydrodynamics
- Shear and bulk acceleration viscosities in simple fluids
- Dynamic coarse-graining of polymer systems using mobility functions
- Stochastic Density Functional Theory on Lane Formation in Electric-Field-Driven Ionic Mixtures: Flow-Kernel-Based Formulation
- Classical Density Functional Theory in the Canonical Ensemble
- Non-hyperuniform metastable states around a disordered hyperuniform state of densely packed spheres: stochastic density functional theory at strong coupling
- Dynamic Decay and Superadiabatic Forces in the van Hove Dynamics of Bulk Hard Sphere Fluids
- Modelling inelastic granular media using Dynamical Density Functional Theory
- Exploring Bifurcations in Bose-Einstein Condensates via Phase Field Crystal Models
- Reconsidering Power Functional Theory
- Correspondences of matter fluctuations in semiclassical and classical gravity for cosmological spacetime-II
- Thermodynamics, formation dynamics and structural correlations in the bulk amorphous phase of the phase-field crystal model
- Bayesian model calibration for block copolymer self-assembly: Likelihood-free inference and expected information gain computation via measure transport
- Well-posedness of the Dean--Kawasaki and the nonlinear Dawson--Watanabe equation with correlated noise
- Is thermodynamics fundamental?
- Spatially heterogeneous dynamics and locally arrested density fluctuations from first-principles
- Microscopic Patterns in the 2D Phase-Field-Crystal Model
- Dynamics of a noninteracting colloidal fluid in a quenched Gaussian random potential: A time-reversal-symmetry-preserving field-theoretic approach
- MultiShape: A Spectral Element Method, with Applications to Dynamic Density Functional Theory and PDE-Constrained Optimization
- Numerical scheme for solving the nonuniformly forced cubic and quintic Swift-Hohenberg equations strictly respecting the Lyapunov functional
- The Dean-Kawasaki equation and the structure of density fluctuations in systems of diffusing particles
- How to distinguish between indistinguishable particles
- Dynamical density functional theory for "dry" and "wet" active matter
- Numerical approximation of singular-degenerate parabolic stochastic PDEs
- Improved field theoretical approach to noninteracting Brownian particles in a quenched random potential
- Topology of orientational defects in confined smectic liquid crystals
- Application of Projection Operator Method to Coarse-Grained Dynamics with Transient Potential
Cited by in corpus (11)
- A review of active matter reviews
- Perspective: How to overcome dynamical density functional theory
- Why neural functionals suit statistical mechanics
- Comparative study of force-based classical density functional theory
- Derivation and analysis of a phase field crystal model for a mixture of active and passive particles
- Exploring the role of hydrodynamic interactions in spherically-confined drying colloidal suspensions
- Biaxial nematic order in fundamental measure theory
- Magnetic Interactions between Nanoscale Domains in Correlated Liquids
- Mesoscale modeling of deformations and defects in thin crystalline sheets
- Dynamical field theories for biaxial liquid crystals
- Non-equilibrium (thermo)dynamics of colloids under mobile piston compression