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One characteristic feature of soft matter systems is their strong response to external stimuli. As a consequence they are comparatively easily driven out of their ground state and out of equilibrium, which leads to many of their fascinating…

Soft Condensed Matter · Physics 2015-01-29 Andreas M. Menzel

The unique pressure exerted by active particles -- the "swim" pressure -- has proven to be a useful quantity in explaining many of the seemingly confounding behaviors of active particles. However, its use has also resulted in some puzzling…

Soft Condensed Matter · Physics 2020-01-22 Ahmad K. Omar , Zhen-Gang Wang , John F. Brady

The confliction between the stable interface in phase-separated active Brownian particles and its negative surface tension, obtained mechanically via the active pressure, has sparked considerable debate about the formula of active surface…

Soft Condensed Matter · Physics 2025-03-06 Longfei Li , Zihao Sun , Mingcheng Yang

The concept of local pressure is pivotal to describe many important physical phenomena, such as buoyancy or atmospheric phenomena, which always require the consideration of space-varying pressure fields. These fields have precise…

Classical Physics · Physics 2022-02-18 Simão M. João , J. P. Santos Pires , J. M. Viana Parente Lopes

Active particles driven by colored noise can be approximately mapped onto a system that obeys detailed balance. The effective interactions which can be derived for such a system allow to describe the structure and phase behavior of the…

Soft Condensed Matter · Physics 2017-11-30 René Wittmann , Umberto Marini Bettolo Marconi , Claudio Maggi , Joseph M. Brader

Active matter classifies systems consisting of self-propelled units which convert the energy stored locally or extracted from their environment into directed motion. It has recently attracted considerable attention due to rich new physics…

Plasma Physics · Physics 2026-04-09 Volodymyr Nosenko

The stress of a fluid on a confining wall is given by the mechanical wall forces, independent of the nature of the fluid being passive or active. At thermal equilibrium, an equation of state exists and stress is likewise obtained from…

Soft Condensed Matter · Physics 2024-06-03 Shibananda Das , Gerhard Gompper , Roland G. Winkler

The motion of self-propelled massive particles through a gaseous medium is dominated by inertial effects. Examples include vibrated granulates, activated complex plasmas and flying insects. However, inertia is usually neglected in standard…

Soft Condensed Matter · Physics 2018-12-05 Christian Scholz , Soudeh Jahanshahi , Anton Ldov , Hartmut Löwen

We investigate the thermodynamic properties of a single inertial probe driven into a nonequilibrium steady-state by random collisions with self-propelled active walkers. The probe and walkers are confined within a gravitational harmonic…

Statistical Mechanics · Physics 2026-01-13 Dima Boriskovsky , Rémi Goerlich , Benjamin Lindner , Yael Roichman

At first, pressure formulas for the electrons under the external potential produced by fixed nuclei are derived both in the surface integral and volume integral forms concerning an arbitrary volume chosen in the system; the surface integral…

Materials Science · Physics 2009-11-07 Junzo Chihara , Ichirou Fukumoto , Mitsuru Yamagiwa , Hiroo Totsuji

This paper addresses the floating body problem which consists in studying the interaction of surface water waves with a floating body. We propose a new formulation of the water waves problem that can easily be generalized in order to take…

Analysis of PDEs · Mathematics 2016-09-21 David Lannes

We use a combination of unsupervised clustering and sparsity-promoting inference algorithms to learn locally dominant force balances that explain macroscopic pattern formation in self-organized active particle systems. The self-organized…

Soft Condensed Matter · Physics 2023-07-28 Dominik Sturm , Suryanarayana Maddu , Ivo F. Sbalzarini

Active matter denotes a system of particles immersed in an external environment, from which the particles extract energy continuously in order to perform directed motion. Extending the paradigm of active matter to a quantum framework…

Definitions for a local pressure in an inhomogeneous fluid are considered for both equilibrium and local equilibrium states. Thermodynamic and mechanical (hydrodynamic) contexts are reconciled. Remaining problems and uncertainties are…

Statistical Mechanics · Physics 2020-08-27 James Dufty , Jeffrey Wrighton , Kai Luo

A flexible membrane deforming its shape in time can self-propel in a viscous fluid. Alternatively, if the membrane is anchored, its deformation will lead to fluid transport. Past work in this area focused on situations where the deformation…

Soft Condensed Matter · Physics 2013-02-12 Arthur A. Evans , Eric Lauga

Evaporating colloidal droplets have long been used as model systems to understand capillarity, interfacial transport, and particle assembly, most prominently through the coffee ring effect. In classical descriptions, suspended particles are…

Soft Condensed Matter · Physics 2026-05-15 Meneka Banik , Ranjini Bandyopadhyay

These lecture notes are designed to provide a brief introduction into the phenomenology of active matter and to present some of the analytical tools used to rationalize the emergent behavior of active systems. Such systems are made of…

Soft Condensed Matter · Physics 2018-07-02 Étienne Fodor , M. Cristina Marchetti

Cooling processes in nature are typically generated by external contact with a cold reservoir or bath. According to the laws of thermodynamics, the final temperature of a system is determined by the temperature of the environment. Here, we…

Soft Condensed Matter · Physics 2025-03-06 Alexander P. Antonov , Marco Musacchio , Hartmut Löwen , Lorenzo Caprini

How internal forces are transduced into motion through soft, fluid membranes remains a fundamental question in the study of active systems. To investigate this coupling, we develop a minimal system consisting of a single ferromagnetic…

Soft Condensed Matter · Physics 2025-07-11 Paula Magrinya , Arin Escobar Ortiz , Juan L. Aragones , Laura R. Arriaga

We study theoretically the hydrodynamics of a fluid drop containing oriented filaments endowed with active contractile or extensile stresses and placed on a solid surface. The active stresses alter qualitatively the wetting properties of…

Soft Condensed Matter · Physics 2015-06-03 Jean-Francois Joanny , Sriram Ramaswamy