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By revisiting a model proposed in [45], we address the accretive growth of a viscoelastic solid at large strains. The accreted material is assumed to accumulate at the boundary of the body in an unstressed state. The growth process is…

Analysis of PDEs · Mathematics 2025-08-28 Andrea Chiesa , Ulisse Stefanelli

The expected return time of a fluctuating two-dimensional cluster or vacancy to a given configuration is studied in thermodynamic equilibrium. We define a family of bond-breaking models that preserve the number of particles. This family…

Statistical Mechanics · Physics 2022-09-14 Francesco Boccardo , Younes Benamara , Olivier Pierre-Louis

We study the conditions under which and how an imposed cluster of fixed colloidal particles at prescribed positions triggers crystal nucleation from a metastable colloidal fluid. Dynamical density functional theory of freezing and Brownian…

Soft Condensed Matter · Physics 2009-11-13 Sven van Teeffelen , Christos N. Likos , Hartmut Löwen

We consider a family of multi-phase Stefan problems for a certain 1-d model of cell-to-cell adhesion and diffusion, which takes the form of a nonlinear forward-backward parabolic equation. In each material phase the cell density stays…

Analysis of PDEs · Mathematics 2010-08-04 K. Anguige

We investigate the possibility of a bistable phase in an open many-body system. To this end we discuss the microscopic dynamics of a continuously off-resonantly driven Rydberg lattice gas in the regime of strong decoherence. Our…

Atomic Physics · Physics 2017-05-17 Fabian Letscher , Oliver Thomas , Thomas Niederprüm , Michael Fleischhauer , Herwig Ott

We present a general energy approach to study the unsteady adhesive contact of viscoelastic materials. Under the assumption of infinitely short-range adhesive interactions, we exploit the principle of virtual work to generalize Griffith…

Soft Condensed Matter · Physics 2024-08-30 Cosimo Mandriota , Nicola Menga , Giuseppe Carbone

We consider a viscoelastic body occupying a smooth bounded domain of $R^3$ under the effects of volumic traction forces. Inertial effects are considered: hence, the equation describing the evolution of displacements is of the second order…

Analysis of PDEs · Mathematics 2015-07-22 Riccardo Scala , Giulio Schimperna

Persistence is considered in diffusion--limited cluster--cluster aggregation, in one dimension and when the diffusion coefficient of a cluster depends on its size $s$ as $D(s) \sim s^\gamma$. The empty and filled site persistences are…

Statistical Mechanics · Physics 2016-08-16 E. K. O. Hellén , M. J. Alava

Abundance spectra of (CO$_2$)$_N$ clusters (up to $N \approx$ 500) acquired under a wide range of adiabatic expansion conditions are analyzed within the evaporative ensemble framework. Analysis reveals that cluster stability functions…

Atomic and Molecular Clusters · Physics 2022-05-04 John W. Niman , Benjamin S. Kamerin , Vitaly V. Kresin , Jan Krohn , Ruth Signorell , Roope Halonen , Klavs Hansen

Adaptive dynamical networks appear in various real-word systems. One of the simplest phenomenological models for investigating basic properties of adaptive networks is the system of coupled phase oscillators with adaptive couplings. In this…

Adaptation and Self-Organizing Systems · Physics 2019-11-11 Rico Berner , Jan Fialkowski , Dmitry Kasatkin , Vladimir Nekorkin , Serhiy Yanchuk , Eckehard Schöll

We use experiments to study the evolution of bubble clusters in a swarm of freely rising, deformable bubbles. A new machine learning-aided algorithm allows us to identify and track bubbles in clusters and measure the cluster lifetimes. The…

Fluid Dynamics · Physics 2023-06-08 Tian Ma , Hendrik Hessenkemper , Dirk Luca , Andrew D. Bragg

We numerically investigate the vibrational spectra of single-component clusters in two-dimensions. Stable configurations of clusters at local energy minima are obtained, and for each the hessian matrix is evaluated and diagonalized to…

Disordered Systems and Neural Networks · Physics 2009-11-13 Gurpreet S. Matharoo

It is possible to condense a macroscopic number of bosons into a single mode. Adding interactions the question arises whether the condensate is stable. For repulsive interaction the answer is positive with regard to the ground-state, but…

Quantum Gases · Physics 2015-10-09 Doron Cohen

We probe the dynamic strength of multiple biotin-streptavidin adhesion bonds under linear loading using the biomembrane force probe setup for dynamic force spectroscopy. Measured rupture force histograms are compared to results from a…

Biomolecules · Quantitative Biology 2010-02-24 T. Erdmann , S. Pierrat , P. Nassoy , U. S. Schwarz

When quickly detaching an elastomer from a counterface, viscoelasticity dramatically increases the perceived adhesion relative to its adiabatic or equilibrium value. Here, we report simulations on the sticking contact between a rigid…

Soft Condensed Matter · Physics 2022-05-04 Martin H. Müser , Bo N. J. Persson

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

The properties of small clusters can differ dramatically from the bulk phases of the same constituents. In equilibrium, cluster assembly has been recently explored, whereas out of equilibrium, the physical principles of clustering remain…

Soft Condensed Matter · Physics 2019-03-22 Melody X. Lim , Anton Souslov , Vincenzo Vitelli , Heinrich M. Jaeger

A constitutive model is developed for the mechanical response of elastomers at finite strains. A polymer is treated as a network of linear chains linked by permanent (chemical crosslinks) and temporary (entanglements and van der Waals…

Materials Science · Physics 2007-05-23 Aleksey D. Drozdov , Al Dorfmann

Instabilities for boson-fermion mixed condensates of trapped Alkali atoms due to the boson-fermion attractive interaction are studied using a variational method. Three regions are shown for their instabilities according to the boson-fermion…

Condensed Matter · Physics 2009-10-31 T. Miyakawa , T. Suzuki , H. Yabu

Adhesion-dependent cells actively sense the mechanical properties of their environment through mechanotransductory processes at focal adhesions, which are integrin-based contacts connecting the extracellular matrix to the cytoskeleton. Here…

Subcellular Processes · Quantitative Biology 2007-05-23 Ulrich S. Schwarz , Thorsten Erdmann , Ilka B. Bischofs