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Activity-mediated unjamming of a confluent glassy system is crucial for several biological processes, such as embryogenesis and cancer metastasis. During these processes, the cells progressively change their junction properties,…

Soft Condensed Matter · Physics 2025-05-13 Souvik Sadhukhan , Chandan Dasgupta , Saroj Kumar Nandi

Active matter systems exhibit rich emergent behavior due to constant injection and dissipation of energy at the level of individual agents. Since these systems are far from equilibrium, their dynamics and energetics cannot be understood…

Soft Condensed Matter · Physics 2020-04-23 Sarah Eldeen , Ryan Muoio , Paris Blaisdell-Pijuan , Ngoc La , Mauricio Gomez , Alex Vidal , Wylie Ahmed

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…

Soft Condensed Matter · Physics 2019-05-01 Grzegorz Szamel

We study a system of non-interacting active particles, propelled by colored noises, characterized by an activity time $\tau$, and confined by a double-well potential. A straightforward application of this system is the problem of barrier…

Statistical Mechanics · Physics 2019-01-30 Lorenzo Caprini , Umberto Marini Bettolo Marconi , Andrea Puglisi , Angelo Vulpiani

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…

Soft Condensed Matter · Physics 2023-10-24 Vincent E. Debets , Lila Sarfati , Thomas Voigtmann , Liesbeth M. C. Janssen

We study the non-equilibrium version of the fluctuation-dissipation theorem (FDT) within the glass phase of Bouchaud's trap model. We incorporate into the model an arbitrary observable m and obtain its correlation and response functions in…

Statistical Mechanics · Physics 2009-11-07 Suzanne Fielding , Peter Sollich

We provide extended evidence that mode-coupling theory (MCT) of supercooled liquids for the ${\mathsf F}_{12}$ schematic model admits a microscopic realization based on facilitated spin models with tunable facilitation. Depending on the…

Disordered Systems and Neural Networks · Physics 2012-08-24 Jeferson J. Arenzon , Mauro Sellitto

In striking contrast to equilibrium systems, inertia can profoundly alter the structure of active systems. Here, we demonstrate that driven systems can exhibit effective equilibrium-like states with increasing particle inertia, despite…

Soft Condensed Matter · Physics 2023-02-23 Ahmad K. Omar , Katherine Klymko , Trevor GrandPre , Phillip L. Geissler , John F. Brady

Multiple relaxation channels often arise in the dynamics of liquids where the momentum current associated to the particle-conservation law splits into distinct contributions. Examples are strongly confined liquids for which the currents in…

Statistical Mechanics · Physics 2020-08-26 Gerhard Jung , Thomas Voigtmann , Thomas Franosch

We discuss the non-equilibrium critical phenomena in liquids, and the models for these phenomena based on local equilibrium and extended scaling assumptions. Special situations are proposed for experimental tests of the theory.…

Statistical Mechanics · Physics 2009-10-31 Alexander Patashinski

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-…

Statistical Mechanics · Physics 2009-11-10 Th. Voigtmann , A. M. Puertas , M. Fuchs

We study in detail the predictions of various theoretical approaches, in particular mode-coupling theory (MCT) and kinetically constrained models (KCMs), concerning the time, temperature, and wavevector dependence of multi-point correlation…

The standard field-theoretical procedure to study the effect of long wavelength fluctuations on a genuine second-order phase transition is applied to the Mode-Coupling-Theory (MCT) dynamical singularity at $T_c$ in the $\beta$ regime.…

Disordered Systems and Neural Networks · Physics 2013-07-17 Tommaso Rizzo

Collective motion over increasing length scales is a signature of the vitrification process of liquids. We demonstrate the emergence of distinct static and dynamic length scales probed near the free surface in fully equilibrated…

Statistical Mechanics · Physics 2022-11-28 Hailong Peng , Huashan Liu , Thomas Voigtmann

We study a system of interacting active particles, propelled by colored noises, characterized by an activity time {\tau}, and confined by a single-well anharmonic potential. We assume pair-wise repulsive forces among particles, modelling…

Statistical Mechanics · Physics 2018-10-31 Lorenzo Caprini , Umberto Marini Bettolo Marconi , Andrea Puglisi

We write equations of motion for density variables that are equivalent to Newtons equations. We then propose a set of trial equations parameterised by two unknown functions to describe the exact equations. These are chosen to best fit the…

Soft Condensed Matter · Physics 2009-11-07 E. Zaccarelli , G. Foffi , P. De Gregorio , F. Sciortino , P. Tartaglia , K. A. Dawson

We study the glassy dynamics taking place in dense assemblies of athermal active particles that are driven solely by a nonequilibrium self-propulsion mechanism. Active forces are modeled as an Ornstein-Uhlenbeck stochastic process,…

Soft Condensed Matter · Physics 2016-09-28 Elijah Flenner , Grzegorz Szamel , Ludovic Berthier

Mode-coupling theory for uniformly sheared underdamped systems with an isothermal condition is presented. As a result of the isothermal condition, it is shown that the shear stress exhibits significant relaxation at the alpha-relaxation…

Statistical Mechanics · Physics 2013-02-27 Koshiro Suzuki , Hisao Hayakawa

We characterize the dynamic non-equilibrium steady state behavior of active particles using density fluctuations in the system. We analyze the effective local density around a particle in the steady state and numerically calculate its mean,…

Statistical Mechanics · Physics 2025-04-22 Jayam Joshi , Pawan Kumar Mishra , Shradha Mishra

A formally exact set of equations is derived for the description of nonequilibrium phenomena in classical liquids and glasses. With the help of a non equilibrium projection operator formalism, the correlation functions and fluctuation…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. Latz