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In this paper we study the behavior of Hamilton operators and their spectra which depend on infinitely many coupling parameters or, more generally, parameters taking values in some Banach space. One of the physical models which motivate…

数学物理 · 物理学 2009-10-31 Manfred Requardt , Anja Schlömerkemper

We study the motion of an overdamped colloidal particle in a time-dependent non-harmonic potential. We demonstrate the first law-like balance between applied work, exchanged heat, and internal energy on the level of a single trajectory. The…

统计力学 · 物理学 2007-05-23 V. Blickle , T. Speck , L. Helden , U. Seifert , C. Bechinger

In this paper, we study the asymptotic behavior of a semi-linear slow-fast stochastic partial differential equation with singular coefficients. Using the Poisson equation in Hilbert space, we first establish the strong convergence in the…

概率论 · 数学 2021-06-09 Michael Röckner , Longjie Xie , Li Yang

We report a novel route to active turbulence, observed in numerical simulations of a polar active fluid model under confinement. To deal with large-scale computations with arbitrary geometries, we developed a GPU-based scheme that can be…

统计力学 · 物理学 2023-04-10 Sora Shiratani , Kazumasa A. Takeuchi , Daiki Nishiguchi

Active-particle suspensions exhibit distinct polarization-density patterns in activity landscapes, even without anisotropic particle interactions. Such polarization without alignment forces is at work in motility-induced phase separation…

软凝聚态物质 · 物理学 2021-06-09 Nicola Andreas Söker , Sven Auschra , Viktor Holubec , Klaus Kroy , Frank Cichos

This work deals with the overdamped motion of a particle in a fluctuating one-dimensional periodic potential. If the potential has no inversion symmetry and its fluctuations are asymmetric and correlated in time, a net flow can be generated…

凝聚态物理 · 物理学 2016-10-26 Enrique Abad , Andreas Mielke

We use linear stability analysis and hybrid lattice Boltzmann simulations to study the dynamical behaviour of an active nematic confined in a channel made of viscoelastic material. We find that the quiescent, ordered active nematic is…

软凝聚态物质 · 物理学 2023-12-20 Francesco Mori , Saraswat Bhattacharyya , Julia M. Yeomans , Sumesh P. Thampi

In this paper, we are concerned with a class of conservative systems including asymmetric exclusion processes and zero-range processes as examples, where some particles are initially placed on $N$ positions. A particle jumps from a position…

概率论 · 数学 2024-01-24 Xiaofeng Xue

In stochastic thermodynamics, significant attention has been given to studying the statistical behavior of thermodynamic quantities such as heat and work. However, fluctuations in other quantities, such as kinetic energy and internal…

统计力学 · 物理学 2023-09-28 Pedro V. Paraguassú

We propose a model for the dynamics of a probe embedded in a living cell, where both thermal fluctuations and nonequilibrium activity coexist. The model is based on a confining harmonic potential describing the elastic cytoskeletal matrix,…

生物物理 · 物理学 2015-06-18 É. Fodor , M. Guo , N. S. Gov , P. Visco , D. A. Weitz , F. van Wijland

Giant number fluctuations (GNF) are an anomaly universally observed in active fluids with polar or nematic order. In this paper, we show that GNF arise in the fluid phase of active Brownian particles (ABP), where the polar order is absent.…

软凝聚态物质 · 物理学 2023-02-06 Yuta Kuroda , Hiromichi Matsuyama , Takeshi Kawasaki , Kunimasa Miyazaki

Phase fluctuations determine the low-energy properties of quantum condensates. However, at the condensation threshold, both density and phase fluctuations are relevant. While strong emphasis has been given to the investigation of phase…

Extreme active matter, an assembly of self-propelled particles with large persistence time $\tau_p$ and high P\'eclet number, exhibits remarkable behaviour at high densities. As $\tau_p\to 0$, the assembly undergoes a gradual slowing down…

软凝聚态物质 · 物理学 2020-06-24 Rituparno Mandal , Pranab Jyoti Bhuyan , Pinaki Chaudhuri , Chandan Dasgupta , Madan Rao

We prove that the equilibrium fluctuations of the symmetric simple exclusion process in contact with slow boundaries is given by an Ornstein-Uhlenbeck process with Dirichlet, Robin or Neumann boundary conditions depending on the range of…

概率论 · 数学 2016-12-06 Tertuliano Franco , Adriana Neumann , Patrícia Gonçalves

Kinetic and hydrodynamic theories are widely employed for describing the collective behaviour of active matter systems. At the fluctuating level, these have been obtained from explicit coarse-graining procedures in the limit where each…

统计力学 · 物理学 2022-12-14 Ouassim Feliachi , Marc Besse , Cesare Nardini , Julien Barré

We investigate a system of Brownian particles weakly bound by attractive parity-symmetric potentials that grow at large distances as $V(x) \sim |x|^\alpha$, with $0 < \alpha < 1$. The probability density function $P(x,t)$ at long times…

统计力学 · 物理学 2024-07-24 Lucianno Defaveri , Eli Barkai , David A. Kessler

We study finite particle systems on the one-dimensional integer lattice, where each particle performs a continuous-time nearest-neighbour random walk, with jump rates intrinsic to each particle, subject to an exclusion interaction which…

概率论 · 数学 2024-05-07 Vadim Malyshev , Mikhail Menshikov , Serguei Popov , Andrew Wade

The transport of active particles may occur in complex environments, in which it emerges from the interplay between the mobility of the active components and the quenched disorder of the environment. Here we explore structural and dynamical…

软凝聚态物质 · 物理学 2023-03-31 Fergus J. Moore , John Russo Tanniemola B. Liverpool , C. Patrick Royall

The problem of particle fluctuations in arbitrary nonuniform systems with Bose-Einstein condensate is considered. This includes the case of trapped Bose atoms. It is shown that the correct description of particle fluctuations for any…

量子气体 · 物理学 2015-05-13 V. I. Yukalov

We investigate the dynamics of a massive tracer particle coupled to an interacting active bath, modeled as a harmonic chain of overdamped active particles analytically, with an aim to understand the impact of bath interactions and activity…

统计力学 · 物理学 2025-09-03 Ritwick Sarkar , Ion Santra
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