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We present an analytical and numerical study of a nonlinear diffusion model which describes density relaxation of loosely packed particles under gravity and weak random (thermal) vibration, and compare the results with Monte Carlo…

软凝聚态物质 · 物理学 2009-11-10 Jeferson J. Arenzon , Yan Levin , Mauro Sellitto

We apply the concept of dynamic propensity to a simple kinetically constrained model of glass formers, the two-vacancy assisted triangular lattice gas, or (2)-TLG. We find that the propensity field, defined in our case as the local…

统计力学 · 物理学 2009-11-11 Lester O. Hedges , Juan P. Garrahan

Using molecular dynamics simulation, we investigate the slow dynamics of a supercooled binary mixture of soft particles interacting with a generalized Hertzian potential. At low density, it displays typical slow dynamics near its glass…

软凝聚态物质 · 物理学 2016-10-18 Ryoji Miyazaki , Takeshi Kawasaki , Kunimasa Miyazaki

Individual-based models of chemical or biological dynamics usually consider individual entities diffusing in space and performing a birth-death type dynamics. In this work we study the properties of a model in this class where the birth…

统计力学 · 物理学 2009-11-11 Emilio Hernandez-Garcia , Cristobal Lopez

We consider a model of aggregation, both diffusion-limited and ballistic, based on the Cayley tree. Growth is from the leaves of the tree towards the root, leading to non-trivial screening and branch competition effects. The model exhibits…

软凝聚态物质 · 物理学 2009-10-31 M. B. Hastings , Thomas C. Halsey

We numerically investigate slow dynamics of a binary mixture of ultrasoft particles interacting with the generalized Hertzian potential. If the softness parameter, $\alpha$, is small, the particles at high densities start penetrating each…

软凝聚态物质 · 物理学 2019-03-27 Ryoji Miyazaki , Takeshi Kawasaki , Kunimasa Miyazaki

We present molecular dynamics (MD) simulations results for dense fluids of ultrasoft, fully-penetrable particles. These are a binary mixture and a polydisperse system of particles interacting via the generalized exponential model, which is…

软凝聚态物质 · 物理学 2012-12-24 Daniele Coslovich , Marco Bernabei , Angel J. Moreno

The driven lattice gas (DLG) evolving at low temperature helps understanding the kinetics of pattern formation in unstable mixtures under anisotropic conditions. We here develop a simple theoretical description of kinetics in Monte Carlo…

统计力学 · 物理学 2009-11-10 Pablo I. Hurtado , J. Marro , Pedro L. Garrido , E. V. Albano

Assembly of protein complexes like virus shells, the centriole, the nuclear pore complex or the actin cytoskeleton is strongly determined by their spatial structure. Moreover it is becoming increasingly clear that the reversible nature of…

亚细胞过程 · 定量生物学 2014-05-13 Heinrich C. R. Klein , Ulrich S. Schwarz

In this paper we study a model of randomly colliding particles interacting with a thermal bath. Collisions between particles are modeled via the Kac master equation while the thermostat is seen as an infinite gas at thermal equilibrium at…

数学物理 · 物理学 2014-07-21 Federico Bonetto , Michael Loss , Ranjini Vaidyanathan

We study internal diffusion limited aggregation (DLA) on the two dimensional comb lattice. The comb lattice is a spanning tree of the euclidean lattice, and internal DLA is a random growth model, where simple random walks, starting one at a…

概率论 · 数学 2014-01-28 Amine Asselah , Houda Rahmani

Conventional gas-liquid phase transitions feature a coexistence line that has a monotonic and positive slope in line with our intuition that cooling always leads to condensation. Here we study the inverse phenomenon, condensation of…

统计力学 · 物理学 2023-07-21 Joël A. K. L. Picard , T. Speck

Using stochastic conformal mappings we study the effects of anisotropic perturbations on diffusion limited aggregation (DLA) in two dimensions. The harmonic measure of the growth probability for DLA can be conformally mapped onto a constant…

统计力学 · 物理学 2009-11-10 M. N. Popescu , H. G. E. Hentschel , F. Family

We study mean-field inclusion processes with an additional slow phase, in which particle interactions occur at a vanishing rate proportional to the inverse system size. In the thermodynamic limit, such systems exhibit condensation at high…

概率论 · 数学 2025-07-21 Simon Gabriel

We study the one-dimensional Fermi gas subject to dissipative reactions. The dynamics is governed by the quantum master equation, where the Hamiltonian describes coherent motion of the particles, while dissipation accounts for irreversible…

统计力学 · 物理学 2026-04-06 Hannah Lehr , Igor Lesanovsky , Gabriele Perfetto

Nonintegrable systems thermalize, leading to the emergence of fluctuating hydrodynamics. Typically, this hydrodynamics is diffusive. We use the effective field theory (EFT) of diffusion to compute higher-point functions of conserved…

强关联电子 · 物理学 2024-02-14 Luca V. Delacretaz , Ruchira Mishra

Bacteria can spontaneously develop collective motions by aligning their motions in dense systems. Here, we show that bacteria can also respond collectively to an alternating electrical field and form dynamic clusters oscillating at the same…

软凝聚态物质 · 物理学 2022-10-11 Mei Mei Bao , Isaiah Eze Igwe , Kang Chen , Tian Hui Zhang

We study internal diffusion limited aggregation on $\mathbb{Z}$, where a cluster is grown incrementally by adding, for each random walk dispatched from the origin, the first site it reaches outside the cluster. We assume that the increment…

概率论 · 数学 2026-03-11 Conrado da Costa , Debleena Thacker , Andrew Wade

We revisit the diffusive instability in dusty disks that arises when the dust mass diffusivity and/or viscosity decreases sufficiently steeply with increasing dust density. Our updated model includes an incompressible, viscous gas that…

地球与行星天体物理 · 物理学 2026-02-19 Konstantin Gerbig , Min-Kai Lin

In order to interpret H2 (molecular hydrogen) quasar absorption line observations of damped Ly-alpha systems (DLAs) and sub-DLAs, we model their H2 abundance as a function of dust-to-gas ratio, including H2 self-shielding and dust…

天体物理学 · 物理学 2009-11-10 H. Hirashita , A. Ferrara