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These are expanded lecture notes for the summer school on Berkovich spaces that took place at the Institut de Math\'ematiques de Jussieu, Paris in 2010. They serve to illustrate some techniques and results from the dynamics on…

动力系统 · 数学 2014-10-14 Mattias Jonsson

These are lecture notes of the 48th Saint-Flour summer school, July 2018, on the topic of planar maps, random walks and the circle packing theorem.

概率论 · 数学 2019-01-03 Asaf Nachmias

Living organisms are inherently out-of-equilibrium systems. We employ new developments in stochastic energetics and rely on a minimal microscopic model to predict the amount of mechanical energy dissipated by such dynamics. Our model…

In the last decade, the study of pressure in active matter has attracted growing attention due to its fundamental relevance to nonequilibrium statistical physics. Active matter systems are composed of particles that consume energy to…

软凝聚态物质 · 物理学 2025-08-14 Guo Yu , Ruiyao Li , Fukang Li , Jiayu Zhang , Xiyue Li , Zequ Chen , Joscha Mecke , Yongxiang Gao

We study whether the stationary state of two bulk-driven systems slowly exchanging particles can be described by the equality of suitably defined nonequilibrium chemical potentials. Our main result is that in a weak contact limit, chemical…

统计力学 · 物理学 2018-08-29 Jules Guioth , Éric Bertin

Mobile microscopic bodies, such as motile cells, can be modelled phenomenologically as ``active particles'' which can move against external forces by depleting an internal energy depot. The microscopic mechanisms underlying such ``active''…

统计力学 · 物理学 2024-02-01 Diego Marcel Fieguth

We study dynamical phase transitions in a model supercooled liquid. These transitions occur in ensembles of trajectories that are biased towards low (or high) dynamical activity. We compare two different measures of activity that were…

统计力学 · 物理学 2015-06-15 Christopher J. Fullerton , Robert L. Jack

Living systems are maintained out-of-equilibrium by external driving forces. At stationarity, they exhibit emergent selection phenomena that break equilibrium symmetries and originate from the expansion of the accessible chemical space due…

统计力学 · 物理学 2026-04-01 Shiling Liang , Paolo De Los Rios , Daniel Maria Busiello

Accurately determining and classifying the structure of complex networks is the focus of much current research. One class of network of particular interest are metabolic pathways, which have previously been studied from a graph theoretical…

数学物理 · 物理学 2012-10-10 Henry Dorrian , Kieran Smallbone , Jon borresen

We observe the total filling factor $\nu_{T}$=1 quantum Hall state in a bilayer two-dimensional electron system with virtually no tunnelling. We find thermally activated transport in the balanced system with a monotonic increase of the…

介观与纳米尺度物理 · 物理学 2009-11-10 R. D. Wiersma , J. G. S. Lok , S. Kraus , W. Dietsche , K. von Klitzing , D. Schuh , M. Bichler , H. -P. Tranitz , W. Wegscheider

We study the motion of a massive particle in a quenched random environment at zero temperature. The distribution of particle positions is investigated numerically and special focus is placed on the mean stopping distance and its…

统计力学 · 物理学 2009-11-07 Sune Jespersen , Hans C. Fogedby

The realization of single-molecule thermal conductance measurements has driven the need for theoretical tools to describe conduction processes that occur over atomistic length scales. In macroscale systems, the principle that is typically…

介观与纳米尺度物理 · 物理学 2023-05-17 Galen T. Craven , Abraham Nitzan

Active matter is a term encompassing particle-based assemblies with some form of self-propulsion, including certain biological systems as well as synthetic systems such as artificial colloidal swimmers, all of which can exhibit a remarkable…

软凝聚态物质 · 物理学 2024-04-23 C. Reichhardt , A. Libal , C. J. O. Reichhardt

The effect of class size on student learning has numerous policy implications and has been a major subject of conversation and research for decades. Despite this, few studies have been done on class size in the context of university…

物理教育 · 物理学 2018-09-05 Connor Gorman , David Webb , Kevin Gee

The dynamics within active fluids, driven by internal activity of the self-propelled particles, is a subject of intense study in non-equilibrium physics. These systems have been explored using simulations, where the motion of a passive…

生物物理 · 物理学 2018-04-03 Saroj Kumar Nandi , Nir S. Gov

We study a chemotaxis-consumption mechanism, in which some chemical signal and cells density interact each other. In order to control the concentration of such a population, sources involving gradient nonlinearities, which introduce a…

偏微分方程分析 · 数学 2025-01-24 Daniel Acosta Soba , Alessandro Columbu , Giuseppe Viglialoro

Many biological and artificial transport channels function without direct input of metabolic energy during a transport event and without structural rearrangements involving transitions from a 'closed' to an 'open' state. Nevertheless, such…

亚细胞过程 · 定量生物学 2009-11-13 Anton Zilman

Cells control the size and organization of biomolecular condensates formed by liquid-liquid phase separation (LLPS), but multiple mechanisms likely contribute to this control and remain to be fully elucidated. Here we propose a…

生物物理 · 物理学 2026-04-10 Le Qiao , Peter Gispert , Lukas S. Stelzl , Friederike Schmid

Biological systems are characterized by the ubiquitous roles of weak, that is, non-covalent molecular interactions, small, often very small, numbers of specific molecules per cell, and Brownian motion. These combine to produce stochastic…

细胞行为 · 定量生物学 2023-04-27 Michael W. Klymkowsky

We investigate the transport of proteins inside the proteasome and propose an active transport mechanism based on a spatially asymmetric interaction potential of peptide chains. The transport is driven by fluctuations which are always…

生物大分子 · 定量生物学 2007-05-23 Alexei Zaikin , Thorsten Poeschel