2009, International series of monographs on physics, ISBN 9780199235346, Volume no. 143, xi, 641

Amorphous condensed matter can exhibit complex motions on time scales which extend up to those relevant for the functioning of biomaterials. The book presents...

Viscosity | Molecular dynamics | Mode-coupling theory | Equations of motion | Complex fluids

Viscosity | Molecular dynamics | Mode-coupling theory | Equations of motion | Complex fluids

Book

2009, International series of monographs on physics, ISBN 9780199235346, Volume no. 143, xi, 641

The book presents a self-contained exposition of the mode-coupling theory for the evolution of glassy dynamics in liquids. This theory is based on polynomial...

Viscosity | Molecular dynamics | Mode-coupling theory | Equations of motion | Complex fluids | condensed matter physics | Bifurcation Singularities | Cage Effect | Leading-Order Asymptotic Contributions | Mode-Coupling Polynomial | Glassy Dynamics | Localization | Glass Transitions | Mode-Coupling Equations of Motion

Viscosity | Molecular dynamics | Mode-coupling theory | Equations of motion | Complex fluids | condensed matter physics | Bifurcation Singularities | Cage Effect | Leading-Order Asymptotic Contributions | Mode-Coupling Polynomial | Glassy Dynamics | Localization | Glass Transitions | Mode-Coupling Equations of Motion

Book

Journal of Chemical Physics, ISSN 0021-9606, 04/2013, Volume 138, Issue 15, p. 154505

Non-equilibrium molecular dynamics simulations were performed to study the thermodynamic, structural, and dynamical properties of the single-component...

FLUIDS | LENNARD-JONES MIXTURE | MECHANICS | TRANSPORT | MODE-COUPLING THEORY | PLANAR COUETTE | EQUILIBRIUM | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | VISCOUS-FLOW | RHEOLOGY | NONEQUILIBRIUM MOLECULAR-DYNAMICS | Thermodynamics | Simulation | Mathematical analysis | Shear flow | Invariance | Dynamical systems | Invariants | Strain rate

FLUIDS | LENNARD-JONES MIXTURE | MECHANICS | TRANSPORT | MODE-COUPLING THEORY | PLANAR COUETTE | EQUILIBRIUM | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | VISCOUS-FLOW | RHEOLOGY | NONEQUILIBRIUM MOLECULAR-DYNAMICS | Thermodynamics | Simulation | Mathematical analysis | Shear flow | Invariance | Dynamical systems | Invariants | Strain rate

Journal Article

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 10/2013, Volume 88, Issue 4, p. 043008

Exact equations of motion for the microscopically defined collective density (rho) over cap (x, t) and the momentum density (g) over cap (x, t) of a fluid have...

GLASS-TRANSITION | MODE-COUPLING THEORY | PHYSICS, FLUIDS & PLASMAS | LENGTH | DYNAMICS | DENSITY-FUNCTIONAL THEORY | PHYSICS, MATHEMATICAL | LIQUIDS | Physics - Statistical Mechanics

GLASS-TRANSITION | MODE-COUPLING THEORY | PHYSICS, FLUIDS & PLASMAS | LENGTH | DYNAMICS | DENSITY-FUNCTIONAL THEORY | PHYSICS, MATHEMATICAL | LIQUIDS | Physics - Statistical Mechanics

Journal Article

Faraday discussions, ISSN 1359-6640, 12/2016, Volume 194, pp. 61 - 80

The effect of a dissipative environment on the ultrafast nonadiabatic dynamics at conical intersections is analyzed for a two-state two-mode model chosen to...

Journal Article

Journal of Non-Newtonian Fluid Mechanics, ISSN 0377-0257, 02/2016, Volume 228, pp. 64 - 78

•We extend the first-principles mode-coupling approach to rheology to handle inhomogeneities.•The resulting equations are simplified into White–Metzner-type...

Mode-coupling theory | Dense colloidal suspensions | Rheology | Viscoelastic instability | TAYLOR-COUETTE FLOW | PARTICLES | STABILITY | GLASS-TRANSITION | MECHANICS | FLUID | CYLINDERS | DYNAMICS | LIQUIDS | Viscoelasticity | Stability | Approximation | Mathematical analysis | Colloids | Instability | Mathematical models | Dispersion | Soft Condensed Matter | Mechanics | Mechanics of the fluids | Condensed Matter | Physics

Mode-coupling theory | Dense colloidal suspensions | Rheology | Viscoelastic instability | TAYLOR-COUETTE FLOW | PARTICLES | STABILITY | GLASS-TRANSITION | MECHANICS | FLUID | CYLINDERS | DYNAMICS | LIQUIDS | Viscoelasticity | Stability | Approximation | Mathematical analysis | Colloids | Instability | Mathematical models | Dispersion | Soft Condensed Matter | Mechanics | Mechanics of the fluids | Condensed Matter | Physics

Journal Article

Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 01/2014, Volume 394, pp. 1 - 16

We derive the time-evolution equation that describes the Brownian motion of labeled individual tracer particles in a simple model atomic liquid (i.e., a system...

Doppler friction | Colloidal and atomic liquids | Generalized Langevin equation | BROWNIAN-MOTION | STATISTICAL-MECHANICS | DISPERSIONS | PHYSICS, MULTIDISCIPLINARY | RELAXATION | MICROSCOPIC DYNAMICS | GLASS-TRANSITION | THERMODYNAMICS | MODE-COUPLING THEORY | COLLOIDAL SUSPENSIONS | FLUCTUATION-DISSIPATION THEOREM | Tracers (Biology) | Analysis | Liquids | Dynamic mechanical properties | Neural networks | Dynamics | Mathematical analysis | Mathematical models | Dynamical systems | Tracer particles

Doppler friction | Colloidal and atomic liquids | Generalized Langevin equation | BROWNIAN-MOTION | STATISTICAL-MECHANICS | DISPERSIONS | PHYSICS, MULTIDISCIPLINARY | RELAXATION | MICROSCOPIC DYNAMICS | GLASS-TRANSITION | THERMODYNAMICS | MODE-COUPLING THEORY | COLLOIDAL SUSPENSIONS | FLUCTUATION-DISSIPATION THEOREM | Tracers (Biology) | Analysis | Liquids | Dynamic mechanical properties | Neural networks | Dynamics | Mathematical analysis | Mathematical models | Dynamical systems | Tracer particles

Journal Article

NONLINEAR DYNAMICS, ISSN 0924-090X, 01/2020, Volume 99, Issue 1, pp. 269 - 281

The study of both linear and nonlinear structural vibrations routinely circles the concise yet complex problem of choosing a set of coordinates which yield...

Multiple scales | MECHANICS | Nonlinear mode coupling | REAL | Equivalent damping | ENGINEERING, MECHANICAL | Transient dynamics | ENGINEERING

Multiple scales | MECHANICS | Nonlinear mode coupling | REAL | Equivalent damping | ENGINEERING, MECHANICAL | Transient dynamics | ENGINEERING

Journal Article

Journal of Sound and Vibration, ISSN 0022-460X, 09/2019, Volume 456, pp. 454 - 475

A two degree of freedom mass-spring-damper model on a moving lubricated belt is considered in this paper. The motions of the two masses are coupled through...

Self-excited oscillation | Stick-slip | Smoothing friction | Coupled vibration | Friction-induced vibration | STABILITY | ENGINEERING, MECHANICAL | ACOUSTICS | MECHANICS | OSCILLATORS | DYNAMICS | MODE-COUPLING INSTABILITY | STICK-SLIP VIBRATIONS | Mechanical engineering | Analysis | Vibration | Damping | Dynamic response | Nonlinear equations | Parameters | Dimensionless analysis | Sliding | Equations of motion | Velocity | Coefficient of friction | Friction | Dynamic stability | Qualitative analysis | Mathematical models | Lubrication | Time integration

Self-excited oscillation | Stick-slip | Smoothing friction | Coupled vibration | Friction-induced vibration | STABILITY | ENGINEERING, MECHANICAL | ACOUSTICS | MECHANICS | OSCILLATORS | DYNAMICS | MODE-COUPLING INSTABILITY | STICK-SLIP VIBRATIONS | Mechanical engineering | Analysis | Vibration | Damping | Dynamic response | Nonlinear equations | Parameters | Dimensionless analysis | Sliding | Equations of motion | Velocity | Coefficient of friction | Friction | Dynamic stability | Qualitative analysis | Mathematical models | Lubrication | Time integration

Journal Article

INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS, ISSN 0219-4554, 09/2019, Volume 19, Issue 9

A direct eigenvalue analysis approach for solving the stability problem of periodically supported beams with multi-mode coupling vibration under general...

INSTABILITY | parametrically excited vibration | BUCKLING MODE LOCALIZATION | multi-mode coupling | direct eigenvalue analysis approach | PLATES | ENGINEERING, MECHANICAL | periodically supported beam | CABLES | ENGINEERING, CIVIL | MECHANICS | Dynamic stability | SYSTEMS | FREE-VIBRATIONS | longitudinal harmonic excitation | WAVE-PROPAGATION

INSTABILITY | parametrically excited vibration | BUCKLING MODE LOCALIZATION | multi-mode coupling | direct eigenvalue analysis approach | PLATES | ENGINEERING, MECHANICAL | periodically supported beam | CABLES | ENGINEERING, CIVIL | MECHANICS | Dynamic stability | SYSTEMS | FREE-VIBRATIONS | longitudinal harmonic excitation | WAVE-PROPAGATION

Journal Article

Journal of Chemical Physics, ISSN 0021-9606, 12/2011, Volume 135, Issue 22, pp. 224902 - 224902-16

We propose a statistical dynamical theory for the violation of the hydrodynamic Stokes-Einstein (SE) diffusion law for a spherical nanoparticle in entangled...

DENSITY | GLASS-TRANSITION | MODE-COUPLING THEORY | FLUCTUATIONS | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | CONCENTRATED-SOLUTIONS | DYNAMICS | CHEMISTRY, PHYSICAL | PREDICTIONS | CHAIN TOPOLOGY | EQUATION | LIQUIDS | Models, Theoretical | Motion | Reproducibility of Results | Friction | Nanoparticles - chemistry | Hydrodynamics | Polymers - chemistry | Kinetics | Diffusion | FRICTION | PARTICLE SIZE | POLYMERS | RELAXATION TIME | HYDRODYNAMICS | RELAXATION | DIFFUSION | MATERIALS SCIENCE | PHYSICS | ADSORPTION | SCALING LAWS

DENSITY | GLASS-TRANSITION | MODE-COUPLING THEORY | FLUCTUATIONS | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | CONCENTRATED-SOLUTIONS | DYNAMICS | CHEMISTRY, PHYSICAL | PREDICTIONS | CHAIN TOPOLOGY | EQUATION | LIQUIDS | Models, Theoretical | Motion | Reproducibility of Results | Friction | Nanoparticles - chemistry | Hydrodynamics | Polymers - chemistry | Kinetics | Diffusion | FRICTION | PARTICLE SIZE | POLYMERS | RELAXATION TIME | HYDRODYNAMICS | RELAXATION | DIFFUSION | MATERIALS SCIENCE | PHYSICS | ADSORPTION | SCALING LAWS

Journal Article

The Journal of Chemical Physics, ISSN 0021-9606, 04/2017, Volume 146, Issue 13, pp. 134507 - 7

Assuming an effective quadratic Hamiltonian, we derive an approximate, linear stochastic equation of motion for the density-fluctuations in liquids, composed...

STATISTICAL-MECHANICS | MODE-COUPLING THEORY | BROWNIAN PARTICLES | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | CHEMISTRY, PHYSICAL | VISCOSITY | DENSITY-FUNCTIONAL THEORY | Time dependence | Liquids | Scattering functions | Density functional theory | Equations of motion | Hamiltonian functions | Variation | Brownian movements | Physics - Soft Condensed Matter | Soft Condensed Matter | Condensed Matter | Physics

STATISTICAL-MECHANICS | MODE-COUPLING THEORY | BROWNIAN PARTICLES | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | CHEMISTRY, PHYSICAL | VISCOSITY | DENSITY-FUNCTIONAL THEORY | Time dependence | Liquids | Scattering functions | Density functional theory | Equations of motion | Hamiltonian functions | Variation | Brownian movements | Physics - Soft Condensed Matter | Soft Condensed Matter | Condensed Matter | Physics

Journal Article

The Journal of Physical Chemistry B, ISSN 1520-6106, 08/2016, Volume 120, Issue 32, pp. 7975 - 7987

The nonequilibrium self-consistent generalized Langevin equation theory of irreversible processes in liquids is extended to describe the positional and...

BROWNIAN-MOTION | LANGEVIN EQUATION | GLASS-TRANSITION | TRACER DIFFUSION | MODE-COUPLING THEORY | SPINODAL DECOMPOSITION | CHEMISTRY, PHYSICAL | IRREVERSIBLE-PROCESSES | RECIPROCAL RELATIONS | SUPERCOOLED LIQUIDS | FLUCTUATION-DISSIPATION THEOREM | Liquids | Usage | Fourier transform infrared spectroscopy | Structure

BROWNIAN-MOTION | LANGEVIN EQUATION | GLASS-TRANSITION | TRACER DIFFUSION | MODE-COUPLING THEORY | SPINODAL DECOMPOSITION | CHEMISTRY, PHYSICAL | IRREVERSIBLE-PROCESSES | RECIPROCAL RELATIONS | SUPERCOOLED LIQUIDS | FLUCTUATION-DISSIPATION THEOREM | Liquids | Usage | Fourier transform infrared spectroscopy | Structure

Journal Article

Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 12/2018, Volume 512, pp. 552 - 565

The time-convolutionless mode-coupling theory (TMCT) recently proposed for molecular systems is employed to derive a TMCT equation for the...

Hard spheres | Colloidal suspensions | Time-convolutionless mode-coupling theory | Hydrodynamic interactions | Polydispersity | BROWNIAN-MOTION | STATISTICAL-MECHANICAL THEORY | HARD-SPHERE SUSPENSIONS | DISPERSIONS | SELF-DIFFUSION | PHYSICS, MULTIDISCIPLINARY | RANDOM FREQUENCY MODULATIONS | INTERMEDIATE SCATTERING FUNCTION | FLUID | DYNAMICS | DIGITAL VIDEO MICROSCOPY

Hard spheres | Colloidal suspensions | Time-convolutionless mode-coupling theory | Hydrodynamic interactions | Polydispersity | BROWNIAN-MOTION | STATISTICAL-MECHANICAL THEORY | HARD-SPHERE SUSPENSIONS | DISPERSIONS | SELF-DIFFUSION | PHYSICS, MULTIDISCIPLINARY | RANDOM FREQUENCY MODULATIONS | INTERMEDIATE SCATTERING FUNCTION | FLUID | DYNAMICS | DIGITAL VIDEO MICROSCOPY

Journal Article

Journal of Chemical Physics, ISSN 0021-9606, 12/2012, Volume 137, Issue 22, p. 224904

In the past decade, classical dynamical density functional theory (DDFT) has been developed and widely applied to the Brownian dynamics of interacting...

ISOTROPIC-NEMATIC TRANSITION | PHASE | MOTION | MODE-COUPLING THEORY | LIQUID | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | EQUATIONS | CHEMISTRY, PHYSICAL | MICROSCOPIC THEORY | MEMORY FUNCTION | SYSTEMS | DIFFUSION

ISOTROPIC-NEMATIC TRANSITION | PHASE | MOTION | MODE-COUPLING THEORY | LIQUID | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | EQUATIONS | CHEMISTRY, PHYSICAL | MICROSCOPIC THEORY | MEMORY FUNCTION | SYSTEMS | DIFFUSION

Journal Article

Journal of Physics: Condensed Matter, ISSN 0953-8984, 10/2002, Volume 14, Issue 40, pp. 9223 - 9235

Considering the example of interacting Brownian particles we present a linear response derivation of the boundary condition for the corresponding hydrodynamic...

PHYSICS, CONDENSED MATTER | MODE-COUPLING THEORY | BROWNIAN PARTICLES | GLASSY SYSTEMS | IRREVERSIBLE-PROCESSES | TAGGED-PARTICLE MOTION | RECIPROCAL RELATIONS

PHYSICS, CONDENSED MATTER | MODE-COUPLING THEORY | BROWNIAN PARTICLES | GLASSY SYSTEMS | IRREVERSIBLE-PROCESSES | TAGGED-PARTICLE MOTION | RECIPROCAL RELATIONS

Journal Article

Proceedings of the National Academy of Sciences of the United States of America, ISSN 0027-8424, 9/2009, Volume 106, Issue 36, pp. 15142 - 15147

The one-dimensional, single-occupancy lattice gas exhibits highly cooperative particle motion and provides an interesting challenge for theoretical methods...

Liquids | Approximation | Kinetic equations | Particle motion | Correlations | Mathematical functions | Coupled mode theory | Kinetic theory | Kinetics | Factorization | Liquids and Structural Glasses Special Feature | Mode coupling | CONCENTRATED LATTICE | TRACER DIFFUSION | mode coupling | SELF-DIFFUSION | PARTICLE | MULTIDISCIPLINARY SCIENCES | ATOMIC HOPPING PROBLEM | liquids | LONG-TIME LIMIT | MOTION | FLUCTUATIONS | EQUILIBRIUM CLASSICAL FLUIDS | DIAGRAMMATIC FORMULATION | Models, Chemical | Diffusion | Phase Transition | Computer Simulation | Approximation theory | Computer-generated environments | Research | Computer simulation | Gas dynamics | Methods | Physical Sciences

Liquids | Approximation | Kinetic equations | Particle motion | Correlations | Mathematical functions | Coupled mode theory | Kinetic theory | Kinetics | Factorization | Liquids and Structural Glasses Special Feature | Mode coupling | CONCENTRATED LATTICE | TRACER DIFFUSION | mode coupling | SELF-DIFFUSION | PARTICLE | MULTIDISCIPLINARY SCIENCES | ATOMIC HOPPING PROBLEM | liquids | LONG-TIME LIMIT | MOTION | FLUCTUATIONS | EQUILIBRIUM CLASSICAL FLUIDS | DIAGRAMMATIC FORMULATION | Models, Chemical | Diffusion | Phase Transition | Computer Simulation | Approximation theory | Computer-generated environments | Research | Computer simulation | Gas dynamics | Methods | Physical Sciences

Journal Article

Journal of Rheology, ISSN 0148-6055, 03/2012, Volume 56, Issue 2, pp. 259 - 278

Recent experiments performed on a variety of soft glassy materials have demonstrated that any imposed shear flow serves to simultaneously fluidize these...

Rheology | Colloids | Glass | MECHANICS | MOTION | MODE-COUPLING THEORY | LIQUID-CRYSTALS | SUPERPOSITION MEASUREMENTS | BROWNIAN DYNAMICS SIMULATIONS | ORTHOGONAL SUPERPOSITION | POLYMER LIQUIDS | EQUATION | STEADY SHEAR-FLOW | Physics - Soft Condensed Matter

Rheology | Colloids | Glass | MECHANICS | MOTION | MODE-COUPLING THEORY | LIQUID-CRYSTALS | SUPERPOSITION MEASUREMENTS | BROWNIAN DYNAMICS SIMULATIONS | ORTHOGONAL SUPERPOSITION | POLYMER LIQUIDS | EQUATION | STEADY SHEAR-FLOW | Physics - Soft Condensed Matter

Journal Article