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Related papers: Memory as activity: pattern formation in a conserv…

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Recently, we have derived an effective Cahn-Hilliard equation for the phase separation dynamics of active Brownian particles by performing a weakly non-linear analysis of the effective hydrodynamic equations for density and polarization…

Statistical Mechanics · Physics 2015-06-15 Thomas Speck , Andreas M. Menzel , Julian Bialké , Hartmut Löwen

We study the behaviour of interacting self-propelled particles, whose self-propulsion speed decreases with their local density. By combining direct simulations of the microscopic model with an analysis of the hydrodynamic equations obtained…

Statistical Mechanics · Physics 2012-06-25 F. D. C. Farrell , J. Tailleur , D. Marenduzzo , M. C. Marchetti

We computationally studied the phase behavior and dynamics of binary mixtures of active particles, where each 'species' had distinct activities leading to distinct velocities, fast and slow. We obtained phase diagrams demonstrating…

Soft Condensed Matter · Physics 2019-09-09 Thomas Kolb , Daphne Klotsa

Sequence memory is an essential attribute of natural and artificial intelligence that enables agents to encode, store, and retrieve complex sequences of stimuli and actions. Computational models of sequence memory have been proposed where…

Neural and Evolutionary Computing · Computer Science 2023-11-06 Hamza Tahir Chaudhry , Jacob A. Zavatone-Veth , Dmitry Krotov , Cengiz Pehlevan

In this review we summarize theoretical progress in the field of active matter, placing it in the context of recent experiments. Our approach offers a unified framework for the mechanical and statistical properties of living matter:…

Soft Condensed Matter · Physics 2012-07-13 M. C. Marchetti , J. -F. Joanny , S. Ramaswamy , T. B. Liverpool , J. Prost , Madan Rao , R. Aditi Simha

A combination of cellular contractility and active phase separation in cell-matrix composites is thought to be an enabler of spatiotemporal patterning in multicellular tissues across scales, from somitogenesis to cartilage condensation. To…

Soft Condensed Matter · Physics 2022-11-21 Sifan Yin , L Mahadevan

In Phys. Rev. Lett. 91 167206 (2003), Sun et al. study memory effects in an interacting nanoparticle system with specific temperature and field protocols. The authors claim that the observed memory effects originate from spin-glass dynamics…

Disordered Systems and Neural Networks · Physics 2009-11-10 M. Sasaki , P. E. Jönsson , H. Takayama , P. Nordblad

We evidence a Kovacs-like memory effect in a uniformly driven granular gas. A system of inelastic hard particles, in the low density limit, can reach a non-equilibrium steady state when properly forced. By following a certain protocol for…

Statistical Mechanics · Physics 2016-11-17 E. Trizac , A. Prados

We report measurements of the brain activity of subjects engaged in behavioral exchanges with their environments. We observe brain states which are characterized by coordinated oscillation of populations of neurons that are changing rapidly…

Neurons and Cognition · Quantitative Biology 2007-05-23 Walter J. Freeman , Giuseppe Vitiello

The emergence of memory is a hallmark feature of non-Markovian dynamics. However, the type of memory -- classical or quantum -- required to realize certain dynamics remains unknown. We study the quantum homogenizer as a minimal model of…

Quantum Physics · Physics 2025-11-26 Alexander Yosifov , Aditya Iyer , Vlatko Vedral , Jinzhao Sun

The transport properties of colloidal particles in active liquids have been studied extensively. It has led to a deeper understanding of the interactions between passive and active particles. However, the phase behavior of colloidal…

Soft Condensed Matter · Physics 2023-01-30 Pragya Kushwaha , Vivek Semwal , Sayan Maity , Shraddha Mishra , Vijayakumar Chikkadi

Associative memory refers to the ability to relate a memory with an input and targets the restoration of corrupted patterns. It has been intensively studied in classical physical systems, as in neural networks where an attractor dynamics…

Quantum Physics · Physics 2024-08-27 Adrià Labay-Mora , Eliana Fiorelli , Roberta Zambrini , Gian Luca Giorgi

We present a continuum theory of self-propelled particles, without alignment interactions, in a momentum-conserving solvent. To address phase separation we introduce a scalar concentration field $\phi$ with advective-diffusive dynamics.…

Soft Condensed Matter · Physics 2015-11-18 Adriano Tiribocchi , Raphael Wittkowski , Davide Marenduzzo , Michael E. Cates

We introduce an active matter model composed of sterically interacting particles which absorb resources from a substrate and move in response to resource gradients. For varied ratios of absorption rate to substrate recovery rate, we find a…

Soft Condensed Matter · Physics 2024-04-23 L. Varga , A. Libal , C. J. O. Reichhardt , C. Reichhardt

The kinetic separation of repulsive active Brownian particles into a dense and a dilute phase is analyzed using a systematic coarse-graining strategy. We derive an effective Cahn-Hilliard equation on large length and time scales, which…

Soft Condensed Matter · Physics 2014-06-02 Thomas Speck , Julian Bialké , Andreas M. Menzel , Hartmut Löwen

Many systems exhibit a phase where the order parameter is spatially modulated. These patterns can be the result of a frustration caused by the competition between interaction forces with opposite effects. In all models with local…

Statistical Mechanics · Physics 2014-01-21 Simon Villain-Guillot

A large class of linear memory differential equations in one dimension, where the evolution depends on the whole history, can be equivalently described as a projection of a Markov process living in a higher dimensional space. Starting with…

Classical Analysis and ODEs · Mathematics 2018-04-09 Artur Stephan , Holger Stephan

We consider stochastic systems of interacting particles or agents, with dynamics determined by an interaction kernel which only depends on pairwise distances. We study the problem of inferring this interaction kernel from observations of…

Statistics Theory · Mathematics 2020-07-31 Fei Lu , Mauro Maggioni , Sui Tang

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

As the study of active matter has developed into one of the most rapidly growing subfields of condensed matter physics, more and more kinds of physical systems have been included in this framework. While the word 'active' is often thought…

Soft Condensed Matter · Physics 2025-07-30 Michael te Vrugt , Benno Liebchen , Michael E. Cates
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