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We present a theory of vibrational modulation of two-dimensional coherent Fourier transformed electronic spectra. Based on an expansion of the system's energy gap correlation function in terms of Huang-Rhys factors, we explain the…

We study quasi two-dimensional, monodisperse systems of active Brownian particles (ABPs) for a range of activities, stiffnesses, and densities. We develop a microscopic, analytical method for predicting the dense phase structure formed…

Soft Condensed Matter · Physics 2021-06-24 Nicholas Lauersdorf , Thomas Kolb , Moslem Moradi , Ehssan Nazockdast , Daphne Klotsa

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…

Soft Condensed Matter · Physics 2017-12-20 Alexander Liluashvili , Jonathan Onody , Thomas Voigtmann

Active and diffusive motion in Brownian particles are regularly observed in fluidic environments, albeit at different time scales. Here, we experimentally study the dynamics of highly asymmetric microclusters trapped in air employing…

We analyze the mean squared displacement of a Brownian particle in a medium with a spatially varying local diffusivity which is assumed to be periodic. When the system is asymptotically diffusive the mean squared displacement,…

Statistical Mechanics · Physics 2015-06-23 David S. Dean , Thomas Guérin

Dynamic particle-scale numerical simulations are used to show that the shear thickening observed in dense colloidal, or Brownian, suspensions is of a similar nature to that observed in non-colloidal suspensions, i.e., a stress-induced…

Soft Condensed Matter · Physics 2015-12-04 Romain Mari , Ryohei Seto , Jeffrey F. Morris , Morton M. Denn

We carry out a comprehensive linear stability analysis of active Brownian particle systems around a constant homogeneous state. These scalar models, being important prototypes for the continuous description of active matter, are…

Analysis of PDEs · Mathematics 2025-12-22 Michele Coti Zelati , Lucas Ertzbischoff , David Gerard-Varet

Tracking experiments in dense biological tissues reveal a diversity of sources f or local energy injection at the cell scale. The effect of cell motility has been largely studied, but much less is known abo ut the effect of the observed…

Soft Condensed Matter · Physics 2017-11-29 Elsen Tjhung , Ludovic Berthier

We consider active Brownian particles that intermittently switch between active and inactive states. Such behavior is ubiquitous at all scales, from bacteria to animals and in artificial active systems. We derive exact expressions for key…

Statistical Mechanics · Physics 2025-09-24 Fernando Peruani , Debasish Chaudhuri

In glasses and other disordered materials, measurements of the vibrational density of states reveal that an excess number of long-wavelength (low-frequency) modes, as compared to the Debye scaling seen in crystalline materials, is…

Soft Condensed Matter · Physics 2012-09-17 Eli T. Owens , Karen E. Daniels

The pair-distribution function, which provides information about correlations in a system of interacting particles, is one of the key objects of theoretical soft matter physics. In particular, it allows for microscopic insights into the…

Soft Condensed Matter · Physics 2023-07-28 Stephan Bröker , Michael te Vrugt , Julian Jeggle , Joakim Stenhammar , Raphael Wittkowski

Low-temperature properties of crystalline solids can be understood using harmonic perturbations around a perfect lattice, as in Debye's theory. Low-temperature properties of amorphous solids, however, strongly depart from such descriptions,…

Soft Condensed Matter · Physics 2016-07-29 Ludovic Berthier , Patrick Charbonneau , Yuliang Jin , Giorgio Parisi , Beatriz Seoane , Francesco Zamponi

Active Brownian Particles are self-propelled particles that move in a dissipative medium subject to random forces, or noise . Additionally, they can be confined by an external field and/or they can interact with one another. The external…

Populations and Evolution · Quantitative Biology 2007-05-23 Udo Erdmann , Werner Ebeling , Lutz Schimansky-Geier , Anke Ordemann , Frank Moss

Unlike crystalline solids, liquids lack long-range order, resulting in diffusive shear fluctuations rather than propagating waves. Simulations predict that liquids exhibit a $k$-gap in wave-vector space, where solid-like transverse waves…

Soft Condensed Matter · Physics 2025-03-13 Cunyuan Jiang , Zihan Zheng , Yangrui Chen , Matteo Baggioli , Jie Zhang

Recently, there has been much interest in activity-induced phase separations in concentrated suspensions of "active Brownian particles" (ABPs), self-propelled spherical particles whose direction of motion relaxes through thermal rotational…

Soft Condensed Matter · Physics 2014-02-13 Joakim Stenhammar , Davide Marenduzzo , Rosalind J. Allen , Michael E. Cates

Exploiting the energy of randomly moving active agents such as bacteria is a fascinating way to power a microdevice. Here we show, by simulations, that a chain-grafted disk-like colloid can rotate unidirectionally when immersed in a thin…

Soft Condensed Matter · Physics 2017-05-16 Hui-shu Li , Chao Wang , Kang Chen , Wen-de Tian , Yu-qiang Ma

While the dynamics of polymer chains in equilibrium media is well understood by now, the polymer dynamics in active non-equilibrium environments can be very different. Here we study the dynamics of polymers in a viscous medium containing…

Soft Condensed Matter · Physics 2017-06-23 Jaeoh Shin , Andrey G. Cherstvy , Won Kyu Kim , Vasily Zaburdaev

We consider a generic system operating under non-equilibrium conditions. Explicitly, we consider an inertial classical Brownian particle dwelling a periodic structure with a spatially broken reflection symmetry. The particle is coupled to a…

Statistical Mechanics · Physics 2020-07-15 P. Hänggi , J. Łuczka , J. Spiechowicz

The Active Brownian Particle (ABP) model exemplifies a wide class of active matter particles. In this work, we demonstrate how this model can be cast into a field theory in both two and three dimensions. Our aim is manifold: we wish both to…

Soft Condensed Matter · Physics 2022-12-26 Ziluo Zhang , Lili Fehértói-Nagy , Maria Polackova , Gunnar Pruessner

Active Brownian particles are capable of taking up energy from their environment and converting it into directed motion; examples range from chemotactic cells and bacteria to artificial micro-swimmers. We have recently demonstrated that…

Soft Condensed Matter · Physics 2012-06-29 Ivo Buttinoni , Giovanni Volpe , Felix Kümmel , Giorgio Volpe , Clemens Bechinger
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