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Active colloidal particles that are propelled by a self-diffusiophoretic mechanism are often described by Langevin equations that are either postulated on physical grounds or derived using the methods of fluctuating hydrodynamics. While…

统计力学 · 物理学 2020-10-28 Bryan Robertson , Jeremy Schofield , Pierre Gaspard , Raymond Kapral

The Generalized Langevin Equation (GLE) has been recently suggested to simulate the time evolution of classical solid and molecular systems when considering general non-equilibrium processes. In this approach, a part of the whole system (an…

统计力学 · 物理学 2014-04-23 L. Stella , C. D. Lorenz , L. Kantorovich

For reproducing the anomalous -- i.e., sub- or super-diffusive -- behavior in some stochastic dynamical systems, the Generalized Langevin Equation (GLE) has gained considerable popularity in recent years. Motivated by the question whether…

软凝聚态物质 · 物理学 2010-02-05 Debabrata Panja

In the framework of the concept of time correlation functions, we develop a self-consistent relaxation theory of the transverse collective particle dynamics in liquids. The theory agrees with well-known results in both the short-wave (free…

软凝聚态物质 · 物理学 2021-03-11 A. V. Mokshin , R. M. Khusnutdinoff , Ya. Z. Vilf , B. N. Galimzyanov

The quantum nature of nuclei plays an important role in the accurate modelling of light atoms such as hydrogen, but it is often neglected in simulations due to the high computational overhead involved. It has recently been shown that…

计算物理 · 物理学 2012-02-21 Michele Ceriotti , David E. Manolopoulos , Michele Parrinello

Molecular dynamics (MD) simulation based on Langevin equation has been widely used in the study of structural, thermal properties of matters in difference phases. Normally, the atomic dynamics are described by classical equations of motion…

介观与纳米尺度物理 · 物理学 2018-02-06 Jing-Tao Lü , Bing-Zhong Hu , Per Hedegård , Mads Brandbyge

The Generalized Langevin Equation (GLE) is a Stochastic Integro-Differential Equation that is commonly used to describe the velocity of microparticles that move randomly in viscoelastic fluids. Such particles commonly exhibit what is known…

概率论 · 数学 2017-11-03 Scott A McKinley , Hung D Nguyen

We present a new first-principles theory of dynamic arrest in colloidal mixtures based on the multi-component self-consistent generalized Langevin equation (SCGLE) theory of colloid dynamics [Phys. Rev. E {\bf 72}, 031107 (2005); ibid {\bf…

材料科学 · 物理学 2009-11-13 Rigoberto Juárez-Maldonado , Magdaleno Medina-Noyola

The Non-equilibrium Self-consistent Generalized Langevin Equation theory of irreversible relax- ation [Phys. Rev. E (2010) 82, 061503; ibid. 061504] is applied to the description of the non- equilibrium processes involved in the spinodal…

软凝聚态物质 · 物理学 2015-10-21 José Manuel Olais-Govea , Leticia López-Flores , Magdaleno Medina-Noyola

We present a first-principles formalism for studying dynamical heterogeneities in glass forming liquids. Based on the Non-Equilibrium Self-Consistent Generalized Langevin Equation theory, we were able to describe the time-dependent local…

软凝聚态物质 · 物理学 2022-04-06 J. Lira-Escobedo , J. R. Velez-Cordero , Pedro E. Ramírez-González

A microscopic theory of molecular motion in classical monatomic liquids, proposed by Glass and Rice [Phy. Rev. 176, 239 (1968)], is revisited and extended to incorporate the dynamic friction in the Brownian description of the atomic…

软凝聚态物质 · 物理学 2022-06-10 Kirit N. Lad , Margi K. Patel , Arun Pratap

We introduce a machine learning-based approach called ab initio generalized Langevin equation (AIGLE) to model the dynamics of slow collective variables in materials and molecules. In this scheme, the parameters are learned from atomistic…

计算物理 · 物理学 2024-04-02 Pinchen Xie , Roberto Car , Weinan E

A model has two main aims: predicting the behavior of a physical system and understanding its nature, that is how it works, at some desired level of abstraction. A promising recent approach to model building consists in deriving a…

统计力学 · 物理学 2019-02-26 Marco Baldovin , Andrea Puglisi , Angelo Vulpiani

The collectivity in the simultaneous diffusion of many particles, i.e. the interdependence of stochastic forces affecting different particles in the same solution, is a largely overlooked phenomenon with no well-established theory.…

统计力学 · 物理学 2017-02-01 M. Majka , P. F. Góra

The interplay between short-range attractions and long-range repulsions (SALR) characterizes the so called liquids with competing interactions, which are known to exhibit a variety of equilibrium and non-equilibrium phases. The theoretical…

The chemical Langevin equation (CLE) is a popular simulation method to probe the stochastic dynamics of chemical systems. The CLE's main disadvantage is its break down in finite time due to the problem of evaluating square roots of negative…

定量方法 · 定量生物学 2014-07-22 David Schnoerr , Guido Sanguinetti , Ramon Grima

We present a new hybrid lattice-Boltzmann and Langevin molecular dynamics scheme for simulating the dynamics of suspensions of spherical colloidal particles. The solvent is modeled on the level of the lattice-Boltzmann method while the…

软凝聚态物质 · 物理学 2007-06-20 Vladimir Lobaskin , Burkhard Duenweg

We investigate the influence of a self-propelling, out-of-equilibrium active particle on generalized elastic systems, including flexible and semiflexible polymers, fluid membranes, and fluctuating interfaces, while accounting for…

软凝聚态物质 · 物理学 2024-01-25 Alessandro Taloni

A new computational method is presented for study suspensions of charged soft particles undergoing fluctuating hydrodynamic and electrostatic interactions. The proposed model is appropriate for polymers, proteins and porous particles…

软凝聚态物质 · 物理学 2015-04-14 Juan P. Hernandez-Ortiz , Juan J. de Pablo

A rigorous theory of liquid-crystal transitions is developed starting from the Liouville equation. The starting point is an all-atom description and a set of order parameter field variables that are shown to evolve slowly via Newton's…

软凝聚态物质 · 物理学 2010-01-05 Zeina Shreif , Stephen Pankavich , Peter Ortoleva