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In this work we shall review the (phased) inverse scattering problem and then pursue the phaseless reconstruction from far-field data with the help of the concept of scattering coefficients. We perform sensitivity, resolution and stability…

Numerical Analysis · Mathematics 2015-10-15 Habib Ammari , Yat Tin Chow , Jun Zou

A novel two-leaflet description of lipid membranes is proposed. Within its framework, phase separation phenomena in multicomponent biological membranes are analyzed. As we show, interactions between the leaflets tend to suppress macroscopic…

Biological Physics · Physics 2016-02-03 Ramon Reigada , Alexander S. Mikhailov

Using high precision Monte Carlo simulations and a mean-field theory, we explore coarsening phenomena in a simple driven diffusive system. The model is reminiscent of vehicular traffic on a two-lane ring road. At sufficiently high density,…

Statistical Mechanics · Physics 2009-11-11 I. T. Georgiev , B. Schmittmann , R. K. P. Zia

We compare aging in a disordered ferromagnet and in a spin glass, by studying the different phases of a reentrant system. We have measured the relaxation of the low-frequency ac susceptibility, in both the ferromagnetic and spin-glass…

Disordered Systems and Neural Networks · Physics 2009-10-31 E. Vincent , V. Dupuis , M. Alba , J. Hammann , J. -P. Bouchaud

It is well known that energy dissipation and finite size can deeply affect the dynamics of granular matter, often making usual hydrodynamic approaches problematic. Here we report on the experi-mental investigation of a small model system,…

Soft Condensed Matter · Physics 2023-10-31 Andrea Gnoli , Giorgio Pontuale , Andrea Puglisi , Alberto Petri

In the proximity of melting transitions of artificial and biological membranes fluctuations in enthalpy, area, volume and concentration are enhanced. This results in domain formation, changes of the elastic constants, changes in…

Biological Physics · Physics 2008-04-08 Heiko M. Seeger , Marie L. Gudmundsson , Thomas Heimburg

Liquid-liquid phase separation plays a major role in the formation and maintenance of various membrane-less subcellular structures in the cytoplasm and nucleus of cells. Biological condensates contain enhanced concentrations of proteins and…

Soft Condensed Matter · Physics 2023-10-03 Paul C Bressloff

Living cells are characterized by the micrometric confinement of various macromolecules at high concentrations. Using droplets containing binary polymer blends as artificial cells, we previously showed that cell-sized confinement causes…

The coarsening instability typically disrupts steady-state cluster-size distributions. We show that degradation coupled to the cluster size, such as arising from biological proteolysis, leads to a novel fixed-point cluster size. Stochastic…

Biological Physics · Physics 2015-05-28 Julien Derr , Andrew Rutenberg

We consider the long-ranged Ising spin-glass with random couplings decaying as a power-law of the distance, in the region of parameters where the spin-glass phase exists with a positive droplet exponent. For the Metropolis single-spin-flip…

Disordered Systems and Neural Networks · Physics 2014-08-22 Cecile Monthus

We perform computer simulations of a Cahn-Hilliard model of phase separation which has dynamical asymmetry between the two coexisting phases. The dynamical asymmetry is incorporated by considering a mobility function which is order…

Soft Condensed Matter · Physics 2009-10-31 Rajeev Ahluwalia

We report a study of nonequilibrium relaxation in a two-dimensional random field Ising model at a nonzero temperature. We attempt to observe the coarsening from a different perspective with a particular focus on three dynamical quantities…

Statistical Mechanics · Physics 2014-07-08 Pradipta Kumar Mandal , Suman Sinha

The Chapter is devoted to reviewing the main features of aging in non disordered systems relaxing via domain growth, after an istantaneous temperature quench. Using the autocorrelation and autoresponse functions to gauge the deviation from…

Statistical Mechanics · Physics 2014-12-16 Marco Zannetti

Atomistic modelling of phase transitions, chemical reactions, or other rare events that involve overcoming high free energy barriers usually entails prohibitively long simulation times. Introducing a bias potential as a function of an…

Computational Physics · Physics 2019-11-06 Federico Giberti , Bingqing Cheng , Gareth Aneurin Tribello , Michele Ceriotti

We report a series of complex (dusty) plasma experiments, aimed at the study of the detailed time evolution of the re-crystallisation process following a rapid quench of a two dimensional dust liquid. The experiments were accompanied by…

Theoretical models describing specific adhesion of membranes predict (for certain parameters) a macroscopic phase separation of bonds into adhesion domains. We show that this behavior is fundamentally altered if the membrane is pinned…

Statistical Mechanics · Physics 2012-10-03 Thomas Speck , Richard L. C. Vink

Selected theoretical developments in modeling of deposition of submicrometer size (submicron) particles on solid surfaces, with and without surface diffusion, of interest in colloid, polymer, and certain biological systems, are surveyed. We…

Materials Science · Physics 2008-10-16 Vladimir Privman

Biological cells use droplets to separate components and spatially control their interior. Experiments demonstrate that the complex, crowded cellular environment affects the droplet arrangement and their sizes. To understand this behavior,…

Soft Condensed Matter · Physics 2021-10-27 Estefania Vidal-Henriquez , David Zwicker

For various species of biological cells, experimental observations indicate the existence of universal distributions of the cellular size, scaling relations between the cell-size moments and simple rules for the cell-size control. We…

Soft Condensed Matter · Physics 2017-01-12 David A. Kessler , Stanislav Burov

We propose a statistical model of a large random network with high connectivity in order to describe the behavior of {\it E.\,coli} cells after exposure to acute stress. The building blocks of this network are feedback cycles typical of the…

Disordered Systems and Neural Networks · Physics 2022-02-22 S. Reich , S. Maoz , Y. Kaplan , H. Rappeport , N. Q. Balaban , O. Agam