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Recent experiments and simulations have revealed glassy features in the cytoplasm, living tissues as well as dense assemblies of self propelled colloids. This leads to a fundamental question: how do these non-equilibrium (active) amorphous…

Soft Condensed Matter · Physics 2020-11-18 Rituparno Mandal , Peter Sollich

Recently, we proposed a self-propelled particle model with competing alignment interactions: nearby particles tend to align their velocities whereas they anti-align their direction of motion with particles which are further away [R.…

Soft Condensed Matter · Physics 2016-05-02 Robert Großmann , Pawel Romanczuk , Markus Bär , Lutz Schimansky-Geier

Tropical rainforests exhibit a rich repertoire of spatial patterns emerging from the intricate relationship between the microscopic interaction between species. In particular, the distribution of vegetation clusters can shed much light on…

Statistical Mechanics · Physics 2024-09-04 Pablo Villegas , Tommaso Gili , Guido Caldarelli , Andrea Gabrielli

In many drylands around the globe, vegetation self-organizes into regular spatial patterns in response to aridity stress. We consider the regularly-spaced vegetation bands, on gentle hill-slopes, that survive low rainfall conditions by…

Pattern Formation and Solitons · Physics 2025-05-07 Punit Gandhi , Matthew Oline , Mary Silber

A system is glassy when the observation time is much smaller than the equilibration time. A unifying thermodynamic picture of the glassy state is presented. Slow configurational modes are in quasi-equilibrium at an effective temperature. It…

Statistical Mechanics · Physics 2009-10-31 Th. M. Nieuwenhuizen

It is a persistent problem in condensed matter physics that glasses exhibit vibrational and thermal properties that are markedly different from those of crystals. While recent works have advanced our understanding of vibrational excitations…

Soft Condensed Matter · Physics 2020-10-16 Hideyuki Mizuno , Hua Tong , Atsushi Ikeda , Stefano Mossa

Glassiness occurs when disorder and frustration cause local degrees of freedom to freeze despite the lack of long-range order. In systems of interacting bosons, such glassiness may involve a purely quantum degree of…

Disordered Systems and Neural Networks · Physics 2026-03-24 Anna M. Piekarska , Tadeusz K. Kopeć

Foams and dense emulsions display complex mechanical behavior, including intermittent rearrangement dynamics, power-law rheology, and slow recovery after perturbation. These effects have long been considered evidence for glassy physics in…

Soft Condensed Matter · Physics 2025-08-01 Amruthesh Thirumalaiswamy , Clary Rodríguez-Cruz , Robert A. Riggleman , John C. Crocker

Simple active models of matter recapitulate complex biological phenomena. The out-of-equilibrium nature of these models, however, often makes them beyond the reach of first-principle descriptions. This limitation is particularly perplexing…

Soft Condensed Matter · Physics 2025-11-07 Mingyuan Zheng , Dmytro Khomenko , Patrick Charbonneau

We study models of spatial growth processes where initially there are sources of growth (indicated by the colour green) and sources of a growth-stopping (paralyzing) substance (indicated by red). The green sources expand and may merge with…

Probability · Mathematics 2007-12-17 J. van den Berg , Y. Peres , V. Sidoravicius , M. E. Vares

We consider the adiabatic evolution of glassy states under external perturbations. Although the formalism we use is very general, we focus here on infinite-dimensional hard spheres where an exact analysis is possible. We consider…

Soft Condensed Matter · Physics 2015-01-08 Corrado Rainone , Pierfrancesco Urbani , Hajime Yoshino , Francesco Zamponi

The rigid to floppy transitions and the associated intermediate phase in glasses are studied in the case where the local structure is not fully determined from the macroscopic concentration. The approach uses size increasing cluster…

Disordered Systems and Neural Networks · Physics 2009-11-11 Matthieu Micoulaut

Phyllotactic patterns, i.e. regular arrangements of leaves or seeds around a plant stem, are fascinating examples of complex structures encountered in Nature. In botany, their symmetries develop when a new primordium periodically grows in…

Chemical Physics · Physics 2024-10-03 Giulio Facchini , Marcello Budroni , Gabor Schuszter , Fabian Brau , Anne De Wit

We use the context of dryland vegetation to study a general problem of complex pattern forming systems - multiple pattern-forming instabilities that are driven by distinct mechanisms but share the same spectral properties. We find that the…

Pattern Formation and Solitons · Physics 2013-11-05 Shai Kinast , Yuval R. Zelnik , Golan Bel , Ehud Meron

Spatial patterns are widely observed in numerous nonequilibrium natural systems, often undergoing complex transitions and bifurcations, thereby exhibiting significant importance in many physical and biological systems such as embryonic…

Biological Physics · Physics 2024-12-17 Jie Su , Wei Wu , Denis Patterson , Simon Asher Levin , Jin Wang

We use theory and simulations to investigate the existence of amorphous glassy states in ultrasoft colloids. We combine the hyper-netted chain approximation with mode-coupling theory to study the dynamic phase diagram of soft repulsive…

Soft Condensed Matter · Physics 2010-12-16 Ludovic Berthier , Angel J. Moreno , Grzegorz Szamel

We introduce a lattice spin model where frustration is due to multibody interactions rather than quenched disorder in the Hamiltonian. The system has a crystalline ground state and below the melting temperature displays a dynamic behaviour…

Statistical Mechanics · Physics 2009-11-07 Andrea Cavagna , Irene Giardina , Tomas Grigera

An appropriate model for the random energy landscape in organic glasses is a spatially correlated Gaussian field. We calculated the distribution of the average value of a Gaussian random field in a finite domain. The results of the…

Disordered Systems and Neural Networks · Physics 2013-03-21 S. V. Novikov

Many mathematical models describing vegetation patterns are based on biomass--water interactions, due to the impact of this limited resource in arid and semi-arid environments. However, in recent years, a novel biological factor called…

Dynamical Systems · Mathematics 2026-04-20 Francesco Giannino , Annalisa Iuorio , Cinzia Soresina

A core-softened model of a glass forming fluid is numerically studied in the limit of very low temperatures. The model shows two qualitatively different behaviors depending on the strength of the attraction between particles. For no or low…

Statistical Mechanics · Physics 2009-11-07 E. A. Jagla