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In this study, the numerical analysis of a specific fluid-solid interaction problem is detailed. The weakly nonlinear Boussinesq system is considered with the addition of a solid object lying on the flat bottom, allowed to move horizontally…

数值分析 · 数学 2018-05-21 Krisztian Benyo

These are pedagogical lecture notes on hydrodynamic fluctuations in normal relativistic fluids. The lectures discuss correlation functions of conserved densities in thermal equilibrium, interactions of the hydrodynamic modes, an effective…

高能物理 - 理论 · 物理学 2015-06-05 Pavel Kovtun

In these lecture notes from the Les Houches School, we discuss collective motion in model experiments of active systems. We specifically discuss walking grains and colloidal rollers experiments. In both cases, we focus on the theoretical…

软凝聚态物质 · 物理学 2023-07-31 Olivier Dauchot

We study, from first principles, the pressure exerted by an active fluid of spherical particles on general boundaries in two dimensions. We show that, despite the non-uniform pressure along curved walls, an equation of state is recovered…

We study three different experiments that involve dry friction and periodic driving, and which employ both single and many-particle systems. These experimental set-ups, besides providing a playground for investigation of frictional effects,…

统计力学 · 物理学 2022-04-29 Soumen Das , Shankar Ghosh , Shamik Gupta

These lecture notes are based on lectures given by the author at the Les Houches 2025 summer school on "Exact Solvability and Quantum Information". The central theme of these notes is to apply the philosophy of statistical mechanics to…

量子物理 · 物理学 2026-02-20 Romain Vasseur

This work details worked solutions to the various problems set by the lecturers during the course of the Les Houches summer school 2017 on effective field theories in particle physics and cosmology.

These are lecture notes for a simple minicourse approaching the satistical properties of a dynamical system by the study of the associated transfer operator (considered on a suitable functions or measures spaces). The following questions…

动力系统 · 数学 2022-11-15 Stefano Galatolo

One of the main activities in science teaching, and in particular in Physics teaching, is not only the discussion of both modern problems and problems which solution is an urgent matter. It means that the picture of an active and alive…

物理教育 · 物理学 2007-05-23 V. Pleitez

These lecture notes present an overview of equilibrium statistical mechanics of classical fluids, with special applications to the structural and thermodynamic properties of systems made of particles interacting via the hard-sphere…

软凝聚态物质 · 物理学 2014-06-24 Andrés Santos

We argue that the spatial discretization of the strongly nonlinear Lefever-Lejeune partial differential equation defines a nonlinear lattice that is physically relevant in the context of the nonlinear physics of ecosystems, modelling the…

斑图形成与孤子 · 物理学 2024-06-26 Nikos I. Karachalios , Antonis Krypotos , Paris Kyriazopoulos

We review the present status of our research and understanding regarding the dynamics and the statistical properties of earthquakes, mainly from a statistical physical viewpoint. Emphasis is put both on the physics of friction and fracture,…

Thermal fluctuations in non-equilibrium steady states generically lead to power law decay of correlations for conserved quantities. Embedded bodies which constrain fluctuations in turn experience fluctuation induced forces. We compute these…

统计力学 · 物理学 2015-01-07 Avi Aminov , Yariv Kafri , Mehran Kardar

We review recent progress in developing effective field theories (EFTs) for non-equilibrium processes at finite temperature, including a new formulation of fluctuating hydrodynamics, and a new proof of the second law of thermodynamics.…

高能物理 - 理论 · 物理学 2018-05-25 Paolo Glorioso , Hong Liu

An unconstrained, non-linearly elastic, semi-infinite solid is maintained in a state of large static plane strain. A power-law relation between the pre-stretches is assumed and it is shown that this assumption is well-motivated physically…

经典物理 · 物理学 2008-12-09 J. G. Murphy , M. Destrade

We give a pedagogical introduction to a selection of recently discussed topics in nonequilibrium statistical mechanics, concentrating mostly on formal structures and on general principles. Part I contains an overview of the formalism of…

数学物理 · 物理学 2009-11-05 C. Maes , K. Netocny , B. Shergelashvili

The fluctuations in nonequilibrium systems are under intense theoretical and experimental investigation. Topical ``fluctuation relations'' describe symmetries of the statistical properties of certain observables, in a variety of models and…

统计力学 · 物理学 2011-09-08 Lamberto Rondoni , Carlos Mejia-Monasterio

The identification of local pressure in active matter systems remains a subject of considerable debate. Through theoretical calculations and extensive simulations of various active systems, we demonstrate that intrinsic pressure (defined in…

软凝聚态物质 · 物理学 2025-07-22 Zihao Sun , Longfei Li , Chuyun Wang , Jing Wang , Huaicheng Chen , Gao Wang , Liyu Liu , Fangfu Ye , Mingcheng Yang

Non-EQuilibrium (NEQ) statistical physics has not had the same general foundation as that of EQuilibrium (EQ) statistical physics, where forces are derived from potentials such as $1/T = \partial S/\partial U$, and from which other key…

统计力学 · 物理学 2025-05-07 Ying-Jen Yang , Ken A. Dill

These lecture notes are based on a tutorial given in 2017 at a plasma physics winter school in Les Houches. Their aim is to provide a self-contained graduate-student level introduction to the theory and modelling of the dynamo effect in…

等离子体物理 · 物理学 2019-08-30 Francois Rincon