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Poroelastic materials, consisting of a permeable solid matrix infiltrated with fluid, are ubiquitous in natural and engineering contexts. In poroelastic polymer solids, the elastic matrix swells to equilibrium when immersed in a solvent…

软凝聚态物质 · 物理学 2026-05-13 Chenzhuo Li , Tom Beyeler , Marc Antonio Chalhoub , John M. Kolinski

We filled a void with a regular or asymmetric pattern without overlap using a time-dependent packing method termed random sequential adsorption (RSA). In the infinite-time limit, the density of coverage frequently hits a limit. This study…

软凝聚态物质 · 物理学 2023-01-03 Aref Abbasi Moud

Translocation of a polymer out of curved surface or membrane is studied via mean first passage time approach. Membrane curvature gives rise to a constraint on polymer conformation, which effectively drives the polymer to the outside of…

软凝聚态物质 · 物理学 2009-10-31 Pyeong Jun Park , Wokyung Sung

We formulate a self-consistent procedure for calculation of thermodynamic and structural properties of polymer solutions based on the Gaussian equivalent representation method (GER) for functional integrals calculation beyond the mean-field…

统计力学 · 物理学 2015-07-31 Yu. A. Budkov , E. A. Nogovitsin , A. L. Kolesnikov

We present approximate algorithms for performing smoothing in a class of high-dimensional state-space models via sequential Monte Carlo methods ("particle filters"). In high dimensions, a prohibitively large number of Monte Carlo samples…

统计计算 · 统计学 2017-09-21 Axel Finke , Sumeetpal S. Singh

We present a new scheme for determining the shape of the size distribution, and its evolution, for collisional cascades of planetesimals undergoing destructive collisions and loss processes like Poynting-Robertson drag. The scheme treats…

地球与行星天体物理 · 物理学 2015-05-27 Mark C. Wyatt , Cathie J. Clarke , Mark Booth

Aqueous foams and a wide range of related systems are believed to coarsen by gas diffusion between neighboring domains into a statistically self-similar scaling state, after the decay of initial transients, such that dimensionless size and…

软凝聚态物质 · 物理学 2023-09-19 Anthony T. Chieco , Douglas J. Durian

We show that a modified version of the Dukhin number is an appropriate scaling parameter for the ionic selectivity of uniformly charged nanopores. The modified Dukhin number is an unambiguous function of the variables $\sigma$ (surface…

介观与纳米尺度物理 · 物理学 2020-12-29 Zsófia Sarkadi , D'avid Fertig , Mónika Valiskó , Dezső Boda

We study the distributional properties of the linear discriminant function under the assumption of normality by comparing two groups with the same covariance matrix but different mean vectors. A stochastic representation for the…

统计理论 · 数学 2017-05-09 Taras Bodnar , Stepan Mazur , Edward Ngailo , Nestor Parolya

We investigate the localization of two interacting particles in one-dimensional random potential. Our definition of the two-particle localization length, $\xi$, is the same as that of v. Oppen et al. [Phys. Rev. Lett. 76, 491 (1996)] and…

介观与纳米尺度物理 · 物理学 2009-10-30 P. H. Song , Doochul Kim

We use Langevin dynamics (LD) simulations to investigate single-file diffusion (SFD) in a dilute solution of flexible linear polymers inside a narrow tube with periodic boundary conditions (a torus). The transition from SFD, where the time…

软凝聚态物质 · 物理学 2025-05-20 Hanyang Wang , Gary W. Slater

We study how to solve semidefinite programming relaxations for large scale polynomial optimization. When interior-point methods are used, typically only small or moderately large problems could be solved. This paper studies regularization…

最优化与控制 · 数学 2011-12-06 Jiawang Nie , Li Wang

We calculate the distribution function of the end--to--end distance of a semiflexible polymer with large bending rigidity. This quantity is directly observable in experiments on single semiflexible polymers (e.g., DNA, actin) and relevant…

凝聚态物理 · 物理学 2009-10-28 Jan Wilhelm , Erwin Frey

In this paper we establish a new efficient method for simulating polymer-solvent systems which combines a lattice Boltzmann approach for the fluid with a continuum molecular dynamics (MD) model for the polymer chain. The two parts are…

软凝聚态物质 · 物理学 2009-10-31 Patrick Ahlrichs , Burkhard Duenweg

On the basis of the thermodynamic theory of the excluded volume effects, we show that the size exponent varies abruptly, depending on the change of the segment concentration. For linear polymers, the exponent changes discontinuously from…

软凝聚态物质 · 物理学 2024-03-04 Kazumi Suematsu , Haruo Ogura , Seiichi Inayama , Toshihiko Okamoto

We study the surface growth generated by the random deposition of particles of different sizes. A model is proposed where the particles are aggregated on an initially flat surface, giving rise to a rough interface and a porous bulk. By…

统计力学 · 物理学 2010-03-19 F. L. Forgerini , W. Figueiredo

The concept of a hyperuniformity disorder length $h$ was recently introduced for analyzing volume fraction fluctuations for a set of measuring windows. This length permits a direct connection to the nature of disorder in the spatial…

软凝聚态物质 · 物理学 2017-09-20 D. J. Durian

The probability distribution function (PDF) of the mass surface density of molecular clouds provides essential information about the structure of molecular cloud gas and condensed structures out of which stars may form. In general, the PDF…

星系天体物理 · 物理学 2015-06-22 Jörg Fischera

We study the equilibrium behaviour of a mixture of monodisperse hard sphere colloids and polydisperse non-adsorbing polymers at their $\theta$-point, using the Asakura-Oosawa model treated within the free-volume approximation. Our focus is…

软凝聚态物质 · 物理学 2007-05-23 Moreno Fasolo , Peter Sollich

We consider a class of elasticity equations in ${\mathbb R}^d$ whose elastic moduli depend on $n$ separated microscopic scales, are random and expressed as a linear expansion of a countable sequence of random variables which are…

偏微分方程分析 · 数学 2016-06-29 Viet Ha Hoang , Thanh Chung Nguyen , Bingxing Xia