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We propose and study a one-dimensional model which consists of two cross-diffusion systems coupled via a moving interface. The motivation stems from the modelling of complex diffusion processes in the context of the vapor deposition of thin…

偏微分方程分析 · 数学 2024-07-23 Clément Cancès , Jean Cauvin-Vila , Claire Chainais-Hillairet , Virginie Ehrlacher

We study impulse response in 1-D homogeneous micro-granular chains on a linear elastic substrate. Micro-granular interactions are analytically described by the Schwarz contact model which includes nonlinear compressive as well as…

材料科学 · 物理学 2016-01-20 Jonathan Bunyan , Alexander F. Vakakis , Sameh Tawfick

We performed a thorough investigation of the drying dynamics of a charged colloidal dispersion drop in a confined geometry. We developed an original methodology based on Raman micro-spectroscopy to measure spatially-resolved colloids…

软凝聚态物质 · 物理学 2016-12-13 Charles Loussert , Anne Bouchaudy , Jean-Baptiste Salmon

Agent-based stochastic models for finite populations have recently received much attention in the game theory of evolutionary dynamics. Both the ultimate fixation and the pre-fixation transient behavior are important to a full understanding…

种群与进化 · 定量生物学 2015-03-17 Da Zhou , Hong Qian

A fundamental challenge is to understand nonequilibrium statistical mechanics starting from microscopic chaos in the equations of motion of a many-particle system. In this review we summarize recent theoretical advances along these lines.…

混沌动力学 · 物理学 2010-01-04 R. Klages

We introduce a family of lattice-gas models of flocking, whose thermodynamically consistent dynamics admits a proper equilibrium limit at vanishing self-propulsion. These models are amenable to an exact coarse-graining which allows us to…

统计力学 · 物理学 2024-09-27 Tal Agranov , Robert L. Jack , Michael E. Cates , Étienne Fodor

Driven particle transport in crowded and confining environments is fundamental to diverse phenomena across physics, chemistry, and biology. A main objective in studying such systems is to identify novel emergent states and phases of…

统计力学 · 物理学 2026-02-23 Annika Vonhusen , Sören Schweers , Artem Ryabov , Philipp Maass

An equilibrated model glass-forming liquid is studied by mapping successive configurations produced by molecular dynamics simulation onto a time series of inherent structures (local minima in the potential energy). Using this ``inherent…

软凝聚态物质 · 物理学 2012-03-27 Thomas B. Schroeder , Srikanth Sastry , Jeppe C. Dyre , Sharon C. Glotzer

Although an intimate relation between entropy and diffusion has been advocated for many years and even seems to have been verified in theory and experiments, a quantitatively reliable study, and any derivation of an algebraic relation…

统计力学 · 物理学 2020-07-22 Subhajit Acharya , Biman Bagchi

Non-traditional thermodynamics, applied to random behaviour associated with turbulence, mixing and competition, is reviewed and analysed. Competitive mixing represents a general framework for the study of generic properties of competitive…

适应与自组织系统 · 物理学 2013-05-08 A. Y. Klimenko

We study the limiting behaviour of the empirical measure of a system of diffusions interacting through their ranks when the number of diffusions tends to infinity. We prove that the limiting dynamics is given by a McKean-Vlasov evolution…

概率论 · 数学 2010-08-30 Mykhaylo Shkolnikov

We study the dynamics of the statistics of the energy transferred across a point along a quantum chain which is prepared in the inhomogeneous initial state obtained by joining two identical semi-infinite parts thermalized at two different…

统计力学 · 物理学 2020-10-28 Gabriele Perfetto , Andrea Gambassi

An outstanding challenge in large-scale quantum platforms is to simultaneously achieve strong interactions, giving rise to the most interesting behaviors, and local addressing -that can probe them. In the context of correlated phases, local…

量子物理 · 物理学 2023-08-02 Pai Peng , Bingtian Ye , Norman Y. Yao , Paola Cappellaro

Starting at the mesoscopic level with a general formulation of stochastic thermodynamics in terms of Markov jump processes, we identify the scaling conditions that ensure the emergence of a (typically nonlinear) deterministic dynamics and…

统计力学 · 物理学 2025-05-26 Gianmaria Falasco , Massimiliano Esposito

Currents through quantum systems may probe non-analyticities in quantum-critical many-body ground states. For a large class of dissipative quantum critical systems we show that it is possible to obtain the reduced system dynamics in the…

统计力学 · 物理学 2020-05-19 C. W. Wächtler , G. Schaller

The aim of this paper is to study a PDE model for two diffusing species interacting by local size exclusion and global attraction. This leads to a nonlinear degenerate cross-diffusion system, for which we provide a global existence result.…

偏微分方程分析 · 数学 2017-03-21 Judith Berendsen , Martin Burger , Jan-Frederik Pietschmann

Computing analytically the $n$-point density correlations in systems of interacting particles is a long-standing problem of statistical physics, with a broad range of applications, from the interpretation of scattering experiments in simple…

统计力学 · 物理学 2025-07-01 Louison Le Bon , Antoine Carof , Pierre Illien

In this paper we study coordinated multipath routing at the flow-level in networks with routes of length one. As a first step the static case is considered, in which the number of flows is fixed. A clustering pattern in the rate allocation…

最优化与控制 · 数学 2009-10-27 Sarah Lilienthal , Michel Mandjes

The large deviation theory has recently been applied to open quantum systems to uncover dynamical crossovers in the space of quantum trajectories associated to Markovian evolutions. Such dynamical crossovers are characterized by qualitative…

We provide a stochastic thermodynamic description across scales for $N$ identical units with all-to-all interactions that are driven away from equilibrium by different reservoirs and external forces. We start at the microscopic level with…

统计力学 · 物理学 2020-07-07 Tim Herpich , Tommaso Cossetto , Gianmaria Falasco , Massimiliano Esposito