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We consider several models with long-range interactions evolving via Hamiltonian dynamics. The microcanonical dynamics of the basic Hamiltonian Mean Field (HMF) model and perturbed HMF models with either global anisotropy or an on-site…

统计力学 · 物理学 2009-11-13 Kavita Jain , Freddy Bouchet , David Mukamel

In this article we implemented simulations of the OFC model for earthquakes for two different topologies: regular and small-world, where in the latter the links are randomly rewired with probability $p$ . In both topologies, we have studied…

适应与自组织系统 · 物理学 2014-05-05 Douglas S. R. Ferreira , Andrés R. R. Papa , Ronaldo Menezes

We investigate the appearance of trapping states in pedestrian flows through bottlenecks as a result of the interplay between the geometry of the system and the microscopic stochastic dynamics. We model the flow trough a bottleneck via a…

统计力学 · 物理学 2017-08-23 Emilio N. M. Cirillo , Matteo Colangeli , Adrian Muntean

Lattice kinetic equations incorporating the effects of external/internal force fields via a shift of the local fields in the local equilibria, are placed within the framework of continuum kinetic theory. The mathematical treatment reveals…

流体动力学 · 物理学 2015-05-13 M. Sbragaglia , R. Benzi , L. Biferale , H. Chen , X. Shan , S. Succi

We study the spectrum of non-homogeneous partially hinged plates having structural engineering applications. A possible way to prevent instability phenomena is to maximize the ratio between the frequencies of certain oscillating modes with…

偏微分方程分析 · 数学 2020-08-31 Elvise Berchio , Alessio Falocchi

We propose an exact solution for a stratosphere dynamical core formulated in geopotential/pressure coordinates with a time-evolving lower boundary supplied by the troposphere. Rather than constraining the stratospheric circulation via…

大气与海洋物理 · 物理学 2026-01-05 Johannes Lawen , George Salman , Akshita Bhardwaj

We study the statistics of simulated earthquakes in a quasistatic model of two parallel heterogeneous faults within a slowly driven elastic tectonic plate. The probability that one fault remains dormant while the other is active for a time…

统计力学 · 物理学 2009-10-31 M. W. Lee , D. Sornette , L. Knopoff

Spontaneous symmetry breaking occurs in a system when its Hamiltonian possesses a certain symmetry, whereas the ground state wave functions do not preserve it. This provides such a scenario that a bifurcation, which breaks the symmetry,…

统计力学 · 物理学 2015-05-13 Jian-Hui Zhao , Hong-Lei Wang , Bo Li , Huan-Qiang Zhou

This work examines the mechanical behavior of three-layer plates with a tetrachiral honeycomb core and solid face layers under static bending conditions. The influence of discretization, relative density, and thickness of the honeycomb core…

数值分析 · 数学 2025-10-15 A. V. Mazaev

We consider nearly-integrable Hamiltonian systems defined over a non-resonant domain. In the neighborhood of resonances, we use Nekhoroshev-like estimates to provide effective stability bounds for the action variables over long time. The…

动力系统 · 数学 2026-04-08 Alessandra Celletti , Anargyros Dogkas , Alessia Francesca Guido

The Blanco transform fault system (BTFS) is highly segmented and represents an evolving transform plate boundary in the Northeast Pacific Ocean. Its seismic behavior was captured with a dense network of 54 ocean-bottom-seismometers operated…

地球物理 · 物理学 2025-03-24 D. Lange , Y. Ren , I. Grevemeyer

We suggest a model that describes a mutual dynamic of tectonic plates. The dynamic is a sort of stick-slip one which is modeled by a Markov random process. The process defines a microlevel of the dynamic. A macrolevel is obtained by a…

概率论 · 数学 2014-09-11 E. Pechersky , A. Pirogov , G. Sadowski , A. Yambartsev

Motivated by the numerical investigation by Aoki et al. [1], we study a rarefied gas flow between two parallel infinite plates of the same temperature governed by the Boltzmann equation with diffuse reflection boundaries, where one plate is…

偏微分方程分析 · 数学 2024-12-02 Renjun Duan , Zhu Zhang

The spatial dependence of total column ozone varies strongly with latitude, so that homogeneous models (invariant to all rotations) are clearly unsuitable. However, an assumption of axial symmetry, which means that the process model is…

应用统计 · 统计学 2007-09-14 Michael L. Stein

A body $\Theta$ containing two phases, which may form a periodic composite with microstructure much smaller that the body, or which may have structure on a length scale comparable to the body, is subjected to slowly time varying boundary…

数学物理 · 物理学 2023-04-26 Ornella Mattei , Graeme W. Milton , Mihai Putinar

We determine the globally minimum time $T$ needed to translate a thin submerged flat plate a given distance parallel to its surface within a work budget. The Reynolds number for the flow is assumed to be large so that the drag on the plate…

流体动力学 · 物理学 2021-01-25 S. Mandre

We consider the cylindrical bending problem for an infinite plate as modelled with a family of generalized continuum models, including the micromorphic approach. The models allow to describe length scale effects in the sense that thinner…

经典分析与常微分方程 · 数学 2021-03-31 Gianluca Rizzi , Geralf Hütter , Angela Madeo , Patrizio Neff

This paper offers a new approach to modeling and forecasting of nonstationary time series with applications to volatility modeling for financial data. The approach is based on the assumption of local homogeneity: for every time point, there…

统计理论 · 数学 2009-06-10 Vladimir Spokoiny

The problem of partially hinged and partially free rectangular plate that aims to represent a suspension bridge subject to some external forces (for example the wind) is considered in order to model and simulate the unstable end behavior.…

数值分析 · 数学 2024-04-17 Raj Narayan Dhara , Krzysztof E. Rutkowski , Katarzyna Szulc

Serrations are commonly employed to mitigate the turbulent boundary layer trailing-edge noise. However, significant discrepancies persist between model predictions and experimental observations. In this paper, we show that this results from…

流体动力学 · 物理学 2023-12-27 Haopeng Tian , Benshuai Lyu