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We address the question: Why may reaction-diffusion equations with hysteretic nonlinearities become ill-posed and how to amend this? To do so, we discretize the spatial variable and obtain a lattice dynamical system with a hysteretic…

偏微分方程分析 · 数学 2017-11-28 Pavel Gurevich , Sergey Tikhomirov

A general system of particles (of one or several species) on a one dimensional lattice with boundaries is considered. Two general behaviors of such systems are investigated. The stationary behavior of the system, and the dominant way of the…

统计力学 · 物理学 2015-06-24 Mohammad Khorrami , Amir Aghamohammadi

One-dimensional hopping model is useful to describe the motion of microscopic particle in thermal noise environment, such as motor proteins. Recent experiments about the new generation of light-driven rotary molecular motors found that, the…

化学物理 · 物理学 2010-07-06 Yunxin Zhang

Active nematics are an important new paradigm in soft condensed matter systems. They consist of rod-like components with an internal driving force pushing them out of equilibrium. The resulting fluid motion exhibits chaotic advection, in…

We present a series of experiments investigating the flow regimes and repose angles of highly concave particle packings in a rotating drum. By varying grain geometry from spherical to highly non-convex shapes, adjusting frictional…

软凝聚态物质 · 物理学 2024-08-01 Weiyi Wang , Jonathan Barés , Jonathan Barés , Emilien Azéma

A flux liquid can condense into a smectic crystal in a pure layered superconductor with the magnetic field oriented nearly parallel to the layers. Similar order can arise in low temperature $^4$He films with a highly anisotropic periodic…

凝聚态物理 · 物理学 2016-08-31 Leon Balents , David R. Nelson

We consider the diffusion of independent particles experiencing random accelerations by a space- and time-dependent force as well as viscous damping. This model can exhibit several asymptotic behaviours, depending upon the limiting cases…

混沌动力学 · 物理学 2012-06-13 B. Mehlig , M. Wilkinson , V. Bezuglyy , K. Gustavsson , K. Nakamura

The effect of different possible kinds of motion of the exciting walls (cyclic, random, ...) is investigated on the dynamics of a granular dissipative gas. It is shown that the real distribution of speed of the wall which interact with the…

流体动力学 · 物理学 2011-12-19 P. Evesque

Weakly attractive interactions between the tips of rod-like colloidal particles affect their liquid-crystal phase behaviour due to a subtle interplay between enthalpy and entropy. Here, we employ molecular dynamics simulations on…

软凝聚态物质 · 物理学 2019-10-16 Mariana Oshima Menegon , Guido L. A. Kusters , Paul van der Schoot

We report a molecular dynamics simulation of a supercooled simple monatomic glass-forming liquid. It is found that the onset of the supercooled regime results in formation of distinct domains of slow diffusion which are confined to the…

无序系统与神经网络 · 物理学 2009-11-07 Mikhail Dzugutov , Sergei I. Simdyankin , Fredrik H. M. Zetterling

The penetration of projectiles into granular materials has been mainly studied using spherical intruders. Here we explore the dynamics of rods penetrating vertically in a two-dimensional granular bed composed of expanded polystyrene…

软凝聚态物质 · 物理学 2026-03-31 J. E. Benítez-Zamudio , S. Hidalgo-Caballero , F. Pacheco-Vázquez

The diffusion of particles trapped in long narrow channels occurs predominantly in one dimension. Here, molecular dynamics simulation is used to study the inertial dynamics of two-dimensional hard disks, confined to long, narrow,…

软凝聚态物质 · 物理学 2020-02-05 Mahdi Zarif , Richard K. Bowles

Depending on how the dynamical activity of a particle in a random environment is influenced by an external field $E$, its differential mobility at intermediate $E$ can turn negative. We discuss the case where for slowly changing random…

统计力学 · 物理学 2014-06-13 Urna Basu , Christian Maes

Active turbulence in dense active systems is characterized by high vorticity on a length scale that is large compared to that of individual entities. We describe the properties of active turbulence as momentum propagation is screened by…

软凝聚态物质 · 物理学 2014-12-24 Sumesh P. Thampi , Ramin Golestanian , Julia M. Yeomans

Diffusion of a particle in the N-dimensional external potential which is periodic in one dimension and unbounded in the other N-1 dimensions is investigated. We find an analytical expression for the overdamped diffusion and study…

统计力学 · 物理学 2016-08-31 O. M. Braun

We report the smectic $A_F$, a new liquid crystal phase of the ferroelectric nematic realm. The smectic $A_F$ is a phase of small polar, rod-shaped molecules which form two-dimensional fluid layers spaced by approximately the mean molecular…

In a recent publication we established an analogy between the free energy of a hard sphere system and the energy of an elastic network [1]. This result enables one to study the free energy landscape of hard spheres, in particular to define…

无序系统与神经网络 · 物理学 2007-08-08 Carolina Brito , Matthieu Wyart

We investigate the Brownian diffusion of particles in one spatial dimension and in the presence of finite regions within which particles can either evaporate or be reset to a given location. For open boundary conditions, we highlight the…

统计力学 · 物理学 2020-11-04 Gennaro Tucci , Andrea Gambassi , Shamik Gupta , Édgar Roldán

This paper discusses temporally continuous and discrete forms of the speed-limited particle-in-cell (SLPIC) method first treated by Werner et al. [Phys. Plasmas 25, 123512 (2018)]. The dispersion relation for a 1D1V electrostatic plasma…

等离子体物理 · 物理学 2021-08-31 Thomas G. Jenkins , Gregory R. Werner , John R. Cary

We examine the dynamic spreading of a dense overdamped suspension of particles under power law repulsive potentials, often called Riesz gases. That is, potentials that decay with distance as 1/r^k where k\in (-2,\infty]. Depending on the…

软凝聚态物质 · 物理学 2025-01-13 Ido Fanto , Naomi Oppenheimer