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We consider an interacting particle system in continuous configuration space. The pair interaction has an attractive part. We show that, at low density, the system behaves approximately like an ideal mixture of clusters (droplets): we prove…

Mathematical Physics · Physics 2012-06-25 S. Jansen , W. König

The investigation of collective behaviour in dense assemblies of self-propelled active particles has been motivated by a wide range of biological phenomena. Of particular interest are dynamical transitions of cellular and sub-cellular…

Soft Condensed Matter · Physics 2023-12-05 Yagyik Goswami , G. V. Shivashankar , Srikanth Sastry

When dissipative particles are left alone, their fluctuation energy decays due to collisional interactions, clusters build up and grow with time until the system size is reached. When the effective dissipation is strong enough, this may…

Statistical Mechanics · Physics 2009-10-31 S. Luding , H. J. Herrmann

The two-dimensional Ising model with fixed magnetization is studied using Monte Carlo techniques. At the coexistence line, the macroscopic, extensive droplet of minority spins becomes thermally unstable by breaking up into microscopic…

Statistical Mechanics · Physics 2009-10-31 M. Pleimling , W. Selke

We explore the microstructure and phase behavior of confined soft colloids which can actively switch their interactions at a predefined kinetic rate. For this, we employ a reaction-diffusion approach based on a reactive dynamical…

Soft Condensed Matter · Physics 2020-08-19 Arturo Moncho-Jordá , Joachim Dzubiella

In spin-crossover materials, the volume of a molecule changes depending on whether it is in the high-spin (HS) or low-spin (LS) state. This change causes distortion of the lattice. Elastic interactions among these distortions play an…

Materials Science · Physics 2009-11-13 Seiji Miyashita , Yusuké Konishi , Masamichi Nishino , Hiroko Tokoro , Per Arne Rikvold

Neutral grains made of the same dielectric material can attain considerable charges due to collisions and generate long-range interactions. We perform molecular dynamic simulations in three dimensions for a dilute, freely-cooling granular…

Soft Condensed Matter · Physics 2018-02-15 Chamkor Singh , Marco G. Mazza

Elastic-scattering phase shifts for four-nucleon systems are studied in an $ab$-$initio$ type cluster model in order to clarify the role of the tensor force and to investigate cluster distortions in low energy $d+d$ and $t+p$ scattering. In…

Nuclear Theory · Physics 2015-05-28 S. Aoyama , K. Arai , Y. Suzuki , P. Descouvemont , D. Baye

Over the past few years the displacement statistics of self-propelled particles has been intensely studied, revealing their long-time diffusive behavior. Here, we demonstrate that a concerted combination of boundary conditions and switching…

Soft Condensed Matter · Physics 2015-05-29 Andreas M. Menzel

Aggregation and disaggregation of clusters of attractive particles under flow are studied from numerical and theoretical points of view. Two-dimensional molecular dynamics simulations of both Couette and Poiseuille flows highlight the…

We consider a free energy on the sphere that contains an entropy associated to nonlinear fast diffusion, and a nonlocal interaction energy. The two components of the free energy compete with each other, as one favours spreading and the…

Analysis of PDEs · Mathematics 2025-12-23 Razvan C. Fetecau , Hansol Park

Clustering is one of the mayor collective phenomena observed in active matter. We study the overdamped motion of interacting active Brownian particles in two dimensions. An instability in the pair correlation function causes the onset of…

Soft Condensed Matter · Physics 2024-03-18 Rüdiger Kürsten

We study a model in which particles interact with short-ranged attractive and long-ranged repulsive interactions, in an attempt to model the equilibrium cluster phase recently discovered in sterically stabilized colloidal systems in the…

Soft Condensed Matter · Physics 2009-11-10 Francesco Sciortino , Stefano Mossa , Emanuela Zaccarelli , Piero Tartaglia

Collective and directed motility or swarming is an emergent phenomenon displayed by many self-organized assemblies of active biological matter such as clusters of embryonic cells during tissue development, cancerous cells during tumor…

Biological Physics · Physics 2016-04-05 Katherine Copenhagen , Ajay Gopinathan

We consider the rate of transition for a particle between two metastable states coupled to a thermal environment for various magnitudes of the coupling strength, using the recently proposed infrequent metadynamics approach (Tiwary and…

Soft Condensed Matter · Physics 2016-05-04 Pratyush Tiwary , B. J. Berne

We study a two-lane model of two-species of particles that perform biased diffusion. Extensive numerical simulations show that when bias q is strong enough oppositely drifting particles form some clusters that block each other. Coarsening…

Statistical Mechanics · Physics 2015-05-13 Adam Lipowski , Dorota Lipowska

We theoretically study the influence of weak interactions on the diffusive expansion of a Bose-Einstein condensate in a three-dimensional random potential. For this purpose we develop a perturbative approach and calculate analytically the…

Quantum Gases · Physics 2009-06-28 N. Cherroret , S. E. Skipetrov

We expand on a recent study of a lattice model of interacting particles [Phys. Rev. Lett. 111, 110601 (2013)]. The adsorption isotherm and equilibrium fluctuations in particle number are discussed as a function of the interaction. Their…

Statistical Mechanics · Physics 2014-11-20 T. Becker , K. Nelissen , B. Cleuren , B. Partoens , C. Van den Broeck

We investigate the diffusive scaling of the Lorentz gas in the presence of an external force of mean-field type. In the weak coupling regime and for diffusive time scales, the test particle's law converges to the probability density…

Mathematical Physics · Physics 2024-11-07 Dominik Nowak

We discuss the emergence and growth of the cooperativity accompanying vitrification based on the density fluctuation dynamics for fragile glass-forming liquids. (i) The relaxation of density fluctuations proceeds by the particle (density)…

Soft Condensed Matter · Physics 2019-11-11 Akira Furukawa