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We review recent progress in analysing wave scattering in systems with both intrinsic chaos and/or disorder and internal losses, when the scattering matrix is no longer unitary. By mapping the problem onto a nonlinear supersymmetric…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Y. V. Fyodorov , D. V. Savin , H. -J. Sommers

A drop bouncing on a vertically-vibrated surface may self-propel forward by standing waves and travels along a fluid interface. This system called walking drop forms a non-quantum wave-particle association at the macroscopic scale. The…

Soft Condensed Matter · Physics 2023-05-25 Adrien Hélias , Matthieu Labousse

Wave-exciting is a universal phenomenon in physical and biological excitable systems. Here we show that colloidal systems of Quincke rollers which are driven periodically can condense into active liquids and active crystals, in which waves…

Soft Condensed Matter · Physics 2024-07-30 Meng Fei Zhang , Bao Ying Fan , Zeng Tao Liu , Tian Hui Zhang

In most systems, its division into interacting constituent elements gives rise to a natural network structure. Analyzing the dynamics of these elements and the topology of these natural graphs gave rise to the fields of (nonlinear) dynamics…

Classical Physics · Physics 2018-09-12 Sophia R. Sklan , Baowen Li

The evolution of surface gravity waves is driven by nonlinear interactions that trigger an energy cascade similarly to the one observed in hydrodynamic turbulence. This process, known as wave turbulence, has been found to display anomalous…

Active matter is rapidly becoming a key paradigm of out-of-equilibrium soft matter exhibiting complex collective phenomena, yet the thermodynamics of such systems remain poorly understood. In this letter we study the nonequilbrium…

Statistical Mechanics · Physics 2019-10-30 Emanuele Crosato , Mikhail Prokopenko , Richard E. Spinney

Planktonic active matter represents an emergent system spanning different scales: individual, population and community; and complexity arising from sub-cellular and cellular to collective and ecosystem scale dynamics. This cross-scale…

Biological Physics · Physics 2023-01-24 Anupam Sengupta

We report numerical investigations of wave turbulence in a vibrating plate. The possibility to implement advanced measurement techniques and long time numerical simulations makes this system extremely valuable for wave turbulence studies.…

Soft Condensed Matter · Physics 2017-10-25 Nicolas Mordant , Benjamin Miquel

Active matter systems display a fascinating range of dynamical states, including stationary patterns and turbulent phases. While the former can be tackled with methods from the field of pattern formation, the spatio-temporal disorder of the…

Fluid Dynamics · Physics 2018-08-13 Martin James , Wouter J. T. Bos , Michael Wilczek

We present a mechanism to generate unidirectional pulse-shaped propagating waves, tamed to exponential growth and dispersion, in active systems with nonreciprocal and nonlinear couplings. In particular, when all bulk modes are exponentially…

Mesoscale and Nanoscale Physics · Physics 2026-05-25 Sayan Jana , Bertin Many Manda , Vassos Achilleos , Dimitrios J. Frantzeskakis , Lea Sirota

The "ratchet principle" asserts that non-equilibrium systems which violate parity symmetry generically exhibit steady-state currents. As recently shown, there are exceptions to this principle, due to the existence of hidden time-reversal…

Statistical Mechanics · Physics 2026-01-15 Jessica Metzger , Sunghan Ro , Julien Tailleur

Wave-like spatial statistics in walking-droplet quantum analogs are typically attributed to spatial or temporal nonlocal wave effects. We show instead that such behavior arises generically from the low-dimensional nonlinear dynamics of an…

Soft Condensed Matter · Physics 2026-03-10 Rahil N. Valani

In equilibrium, the physical properties of matter are set by the interactions between the constituents. In contrast, the energy input of the individual components controls the behavior of synthetic or living active matter. Great progress…

Soft Condensed Matter · Physics 2025-08-29 Q. Martinet , Y. Li , A. Aubret , E. Hannezo , J. Palacci

We introduce a generalized version of the Kac ring model in which particles are of two types, black and white. Black particles modify the environment through which all particles move, thereby inducing indirect and potentially long-range…

Statistical Mechanics · Physics 2025-10-07 Leonid A. Bunimovich , Emilio N. M. Cirillo , Matteo Colangeli , Lamberto Rondoni

Networks of weakly coupled oscillators had a profound impact on our understanding of complex systems. Studies on model reconstruction from data have shown prevalent contributions from hypernetworks with triplet and higher interactions among…

Dynamical Systems · Mathematics 2022-09-08 Eddie Nijholt , Jorge Luis Ocampo-Espindola , Deniz Eroglu , István Z. Kiss , Tiago Pereira

We have shown that the wave scattering by a soliton occurs in a peculiar way. The nonlinear interaction leads to the generation of waves with frequencies that are multiples of the frequency of the incident wave, minus the frequency of the…

Pattern Formation and Solitons · Physics 2023-12-12 A. S. Dmitriev , E. A. Dmitrieva , A. G. Panin

If a set of charged objects collide in space and the fragments disperse, then this process will emit electromagnetic waves. Classical soft photon theorem determines the constant term and the leading power law fall-off of the wave-form at…

High Energy Physics - Theory · Physics 2025-01-14 Debanjan Karan , Babli Khatun , Biswajit Sahoo , Ashoke Sen

We discover an instability mechanism in suspensions of self-propelled particles that does not involve active stress. Instead, it is driven by a subtle interplay of inertia, swimmer motility, and concentration fluctuations, through a crucial…

Soft Condensed Matter · Physics 2024-10-16 Purnima Jain , Navdeep Rana , Sriram Ramaswamy , Prasad Perlekar

We derive a hydrodynamic description of metric-free active matter: starting from self-propelled particles aligning with neighbors defined by "topological" rules, not metric zones, -a situation advocated recently to be relevant for bird…

Soft Condensed Matter · Physics 2015-06-04 Anton Peshkov , Sandrine Ngo , Eric Bertin , Hugues Chaté , Francesco Ginelli

The dynamics of excitons in a one-dimensional ensemble with partial spatial order are studied. During optical excitation, cold Rydberg atoms spontaneously organize into regular spatial arrangements due to their mutual interactions. This…

Atomic Physics · Physics 2013-11-01 S. Bettelli , D. Maxwell , T. Fernholz , C. S. Adams , I. Lesanovsky , C. Ates