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We present a mode-coupling theory (MCT) for the high-density dynamics of two-dimensional spherical active Brownian particles (ABP). The theory is based on the integration-through-transients (ITT) formalism and hence provides a starting…

软凝聚态物质 · 物理学 2017-12-20 Alexander Liluashvili , Jonathan Onody , Thomas Voigtmann

We discuss recent advances in developing a mode-coupling theory of the glass transition (MCT) of two-dimensional systems of active Brownian particles (ABP). We specifically discuss the case of a single ABP tracer in a glass-forming passive…

软凝聚态物质 · 物理学 2020-12-15 Julian Reichert , Leon Granz , Thomas Voigtmann

We derive equations of motion for the mean-squared displacement (MSD) of an active Brownian particle (ABP) in a crowded environment modeled by a dense system of passive Brownian particles, and of a passive tracer particle in a dense…

软凝聚态物质 · 物理学 2021-07-27 Julian Reichert , Thomas Voigtmann

Dense or glassy active matter, as a result of its remarkable resemblance to passive glass-forming materials, is enjoying increasing scientific interest. To better grasp the subtle effect of active motion on the process of vitrification, a…

软凝聚态物质 · 物理学 2023-10-20 Vincent E. Debets , Liesbeth M. C. Janssen

We present a theory for the steady-state dynamics of a two-dimensional system of spherically symmetric active Brownian particles. The derivation of the theory consists of two steps. First, we integrate out the self-propulsions and obtain a…

软凝聚态物质 · 物理学 2019-05-01 Grzegorz Szamel

The predictions of the mode-coupling theory of the glass transition (MCT) for the tagged-particle density-correlation functions and the mean-squared displacement curves are compared quantitatively and in detail to results from Newtonian-…

统计力学 · 物理学 2009-11-10 Th. Voigtmann , A. M. Puertas , M. Fuchs

We analyze the glassy dynamics of a binary mixtures of hard disks in two dimensions. Predictions of the Mode-Coupling theory(MCT) are tested with extensive Brownian dynamics simulations. Measuring the collective particle density correlation…

软凝聚态物质 · 物理学 2011-04-27 Fabian Weysser , David Hajnal

A microscopic approach is presented for calculating general properties of interacting Brownian particles under steady shearing. We start from exact expressions for shear-dependent steady-state averages, such as correlation and structure…

软凝聚态物质 · 物理学 2009-07-02 Matthias Fuchs , Michael E. Cates

Active Brownian particles (ABPs) function as self-driving agents that display non-equilibrium behavior through their pairwise interactions which lead to phase separation and vortex patterns in both soft matter and living systems. A…

软凝聚态物质 · 物理学 2025-09-09 Sadra Saremi , Amirhossein Ahmadkhan Kordbacheh

The Active Brownian Particle (ABP) model has become a prototype of self-propelled particles. ABPs move persistently at a constant speed $V$ along a direction that changes slowly by rotational diffusion, characterized by a coefficient $\Dr$.…

软凝聚态物质 · 物理学 2025-03-11 Rodrigo Soto

Active matter exhibits many intriguing non-equilibrium character, \emph{e.g.}, the active Brownian particles (ABP) without any attractive and aligned interactions can occur the mobility-induced phase transition to form some dense domains…

软凝聚态物质 · 物理学 2023-05-24 Cheng Yang , Ying Zeng , Shun Xu , Xin Zhou

We study the dynamics of a tagged particle in a glassy system under shear. The recently developed integration through transients approach based on mode coupling theory, is continued to arrive at the equations for the tagged particle…

软凝聚态物质 · 物理学 2011-07-07 Matthias Krüger , Fabian Weysser , Matthias Fuchs

One of the key hallmarks of dense active matter in the liquid, supercooled, and solid phases is so-called equal-time velocity correlations. Crucially, these correlations can emerge spontaneously, i.e., they require no explicit alignment…

软凝聚态物质 · 物理学 2023-10-24 Vincent E. Debets , Lila Sarfati , Thomas Voigtmann , Liesbeth M. C. Janssen

The mode-coupling theory (MCT) of the glass transition ranks among the most successful first-principles kinetic theories to describe glassy dynamics. However, MCT does not fully account for crucial aspects of the dynamics near the glass…

软凝聚态物质 · 物理学 2024-08-22 Ilian Pihlajamaa , Liesbeth M. C. Janssen

Transport and dispersion of active particles in structured environments such as corrugated channels and porous media are important for the understanding of both natural and engineered active systems. Owing to their continuous…

软凝聚态物质 · 物理学 2024-10-16 Zhiwei Peng

Active Brownian particles (ABPs), when subject to purely repulsive interactions, are known to undergo activity-induced phase separation broadly resembling an equilibrium (attraction-induced) gas-liquid coexistence. Here we present an…

软凝聚态物质 · 物理学 2013-10-04 Joakim Stenhammar , Adriano Tiribocchi , Rosalind J. Allen , Davide Marenduzzo , Michael E. Cates

We investigate the tagged-particle motion in a strongly interacting quasi-confined liquid using periodic boundary conditions along the confining direction. Within a mode-coupling theory of the glass transition (MCT) we calculate the…

软凝聚态物质 · 物理学 2021-09-14 Lukas Schrack , Charlotte F. Petersen , Michele Caraglio , Gerhard Jung , Thomas Franosch

A self-consistent mode coupling theory (MCT) with microscopic inputs of equilibrium pair correlation functions is developed to analyze electrolyte dynamics. We apply the theory to calculate concentration dependence of (i) time dependent ion…

统计力学 · 物理学 2015-01-09 Susmita Roy , Subramanian Yashonath , Biman Bagchi

The physics of active systems of self-propelled particles, in the regime of a dense liquid state, is an open puzzle of great current interest, both for statistical physics and because such systems appear in many biological contexts. We…

软凝聚态物质 · 物理学 2017-10-26 Saroj Kumar Nandi , Nir S. Gov

Generalized mode-coupling theory (GMCT) has recently emerged as a promising first-principles theory to study the poorly understood dynamics of glass-forming materials. Formulated as a hierarchical extension of standard mode-coupling theory…

软凝聚态物质 · 物理学 2021-12-21 Vincent E. Debets , Chengjie Luo , Simone Ciarella , Liesbeth M. C. Janssen
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