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The nonequilibrium thermodynamics feature of a Brownian motor is investigated by obtaining exact time-dependent solutions. This in turn enables us to investigate not only the long time property (steady-state) but also the short time the…

Statistical Mechanics · Physics 2022-05-23 Mesfin Taye

A micron-sized droplet of bromine water immersed in a surfactant-laden oil phase can swim (S. Thutupalli, R. Seemann, S. Herminghaus, New J. Phys. 13 073021 (2011)). The bromine reacts with the surfactant at the droplet interface and…

Soft Condensed Matter · Physics 2016-08-25 Maximilian Schmitt , Holger Stark

We apply the mode coupling theory (MCT) which was recently worked out for molecular liquids to a liquid of diatomic, rigid molecules. Using the static correlators from a molecular dynamics simulation, we have solved the MCT-equations for…

Disordered Systems and Neural Networks · Physics 2009-10-31 Christoph Theis , Rolf Schilling

The dynamics of the electrons for a molecule in solution is coupled to the dynamics of its polarizable environment, i.e., the solvent. To theoretically investigate such electronic dynamics, we have recently developed equations of motion…

Chemical Physics · Physics 2017-02-16 Silvio Pipolo , Stefano Corni , Roberto Cammi

We develop a nonequilibrium mode-coupling theory for uniformly sheared systems starting from microscopic, thermostatted SLLOD equations of motion. Our theory aims at describing stationary-state properties including rheological ones of…

Soft Condensed Matter · Physics 2009-11-13 Song-Ho Chong , Bongsoo Kim

Using a large scale molecular dynamics computer simulation we investigate the dynamics of a supercooled melt of SiO_2. We find that with increasing temperature the temperature dependence of the diffusion constants crosses over from an…

Statistical Mechanics · Physics 2009-10-31 Walter Kob , Jurgen Horbach , Kurt Binder

A time-dependent multiconfigurational self-consistent field theory is presented to describe the many-body dynamics of a gas of identical bosonic atoms confined to an external trapping potential at zero temperature from first principles. A…

Other Condensed Matter · Physics 2007-10-16 David J. Masiello , William P. Reinhardt

Nonequilibrium mode-coupling theory (MCT) for uniformly sheared underdamped systems is developed, starting from the microscopic thermostatted SLLOD equation, and the corresponding Liouville equation. Special attention is paid to the…

Statistical Mechanics · Physics 2015-03-20 Koshiro Suzuki , Hisao Hayakawa

Molecular dynamics (MD) simulations of ions (K$^+$, Na$^+$, Ca$^{2+}$ and Cl$^-$) in aqueous solutions are investigated. Water is described using the SPC/E model. A stochastic coarse-grained description for ion behaviour is presented and…

Computational Physics · Physics 2016-04-27 Radek Erban

Thermophoresis is the process of particles moving along a temperature gradient in thermodynamic systems. Even though it has been studied for over 150 years, there is neither a complete theoretical description of thermophoresis in liquids…

Soft Condensed Matter · Physics 2020-01-17 Benjamin F. Maier

Brownian Dynamics simulations are an important tool for modeling the dynamics of soft matter. However, accurate and rapid computations of the hydrodynamic interactions between suspended, microscopic components in a soft material is a…

Fluid Dynamics · Physics 2018-03-14 Andrew M. Fiore , James W. Swan

Owing to the Chapman-Kolmogorov equation for Markovian dynamics,any equilibrium trajectory of a Brownian particle in a solvent fluid can be viewed as the superposition of an uncountable number of non-equilibrium states. This property…

Statistical Mechanics · Physics 2026-05-18 Jason Boynewicz , Michael C. Thumann , Giuseppe Procopio , Massimiliano Giona

Using molecular dynamics computer simulations, we investigate the dynamics of the rotational degrees of freedom in a supercooled system composed of rigid, diatomic molecules. The interaction between the molecules is given by the sum of…

Statistical Mechanics · Physics 2009-10-30 Stefan Kammerer , Walter Kob , Rolf Schilling

We consider the Mode Coupling Theory (MCT) of Glass transition for a Binary fluid. The Equations of Nonlinear Fluctuating Hydrodynamics are obtained with a proper choice of the slow variables corresponding to the conservation laws. The…

Statistical Mechanics · Physics 2009-11-07 Upendra Harbola , Shankar P. Das

A meshfree Lagrangian method for the fluctuating hydrodynamic equations (FHEs) with fluid-structure interactions is presented. Brownian motion of the particle is investigated by direct numerical simulation of the fluctuating hydrodynamic…

Dynamical Systems · Mathematics 2015-12-15 Anamika Pandey , Steffen Hardt , Axel Klar , Sudarshan Tiwari

The predictions of the mode-coupling theory (MCT) for the dynamical arrest scenarios in a partly pinned (PP) fluid system are reported. The corresponding dynamical phase diagram is found to be very similar to that of a related…

Disordered Systems and Neural Networks · Physics 2011-11-21 Vincent Krakoviack

The structural relaxations of a dense, binary mixture of charged hard spheres are studied using the Mode Coupling Theory (MCT). Qualitative differences to non--ionic systems are shown to result from the long--range Coulomb interaction and…

Condensed Matter · Physics 2007-05-23 Matthias Fuchs

Mode-coupling theory (MCT) of sheared dense granular liquids %in the vicinity of jamming transition is formulated. Starting from the Liouville equation of granular particles, the generalized Langevin equation is derived with the aid of the…

Statistical Mechanics · Physics 2009-09-30 Hisao Hayakawa , Michio Otsuki

The molecular dynamics (MD) simulation study of solvation structure and free energetics in 1-ethyl-3-methylimidazolium chloride and 1-ethyl-3-methylimidazolium hexafluorophosphate using a probe solute in the preceding article [Y. Shim, M.…

Soft Condensed Matter · Physics 2009-11-11 Y. Shim , M. Y. Choi , H. J. Kim

We develop the relativistic theory of hydrodynamic fluctuations for application to high energy heavy ion collisions. In particular, we investigate their effect on the expanding boost-invariant (Bjorken) solution of the hydrodynamic…

Nuclear Theory · Physics 2015-06-03 J. I. Kapusta , B. Müller , M. Stephanov