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The mean residual life function is a key functional for a survival distribution. It has a practically useful interpretation as the expected remaining lifetime given survival up to a particular time point, and it also characterizes the…

统计方法学 · 统计学 2018-10-11 Valerie Poynor , Athanasios Kottas

Exploring nonlinear chemical dynamic systems for information processing has emerged as a frontier in chemical and computational research, seeking to replicate the brain's neuromorphic and dynamic functionalities. We have extensively…

化学物理 · 物理学 2026-05-19 Zheyang Li , Xi Yu

We derive the fluctuation theorem for a stochastic and periodically driven system coupled to two reservoirs with the aid of a master equation. We write down the cumulant generating functions for both the current and entropy production in…

统计力学 · 物理学 2020-11-26 Kazutaka Takahashi , Yuki Hino , Keisuke Fujii , Hisao Hayakawa

Flow and bridge matching are a novel class of processes which encompass diffusion models. One of the main aspect of their increased flexibility is that these models can interpolate between arbitrary data distributions i.e. they generalize…

机器学习 · 计算机科学 2023-11-14 Valentin De Bortoli , Guan-Horng Liu , Tianrong Chen , Evangelos A. Theodorou , Weilie Nie

Based on a microscopic system reservoir model,where the associated bath is not in thermal equilibrium, we simulate the nonstationary Langevin dynamics and obtained the generalized nonstationary fluctuation dissipation relation (FDR) which…

We investigated theoretically water evaporation from concentrated supramolecular mixtures, such as solutions of polymers or amphiphilic molecules, using numerical resolutions of a one dimensional model based on mass transport equations.…

软凝聚态物质 · 物理学 2017-10-25 Jean-Baptiste Salmon , Frédéric Doumenc , Béatrice Guerrier

In neuroscience, the time elapsed since the last discharge has been used to predict the probability of the next discharge. Such predictions can be improved taking into account the last two discharge times, and possibly more. Such multi-time…

偏微分方程分析 · 数学 2023-04-05 Xu'An Dou , Benoît Perthame , Chenjiayue Qi , Delphine Salort , Zhennan Zhou

A quantity of interest to characterise continuous-valued stochastic processes is the differential entropy rate. The rate of convergence of many properties of LRD processes is slower than might be expected, based on the intuition for…

信息论 · 计算机科学 2021-11-02 Andrew Feutrill , Matthew Roughan

The equation of the density field of an assembly of macroscopic particles advected by a hydrodynamic flow is derived from the microscopic description of the system. This equation allows to recognize the role and the relative importance of…

混沌动力学 · 物理学 2016-09-08 Cristobal Lopez , Andrea Puglisi

In non-equilibrium statistical physics, active matters in both living and non-living systems have been extensively studied. In particular, self-propelled particle systems provide challenging research subjects in experimental and theoretical…

统计力学 · 物理学 2025-02-13 Saori Morimoto , Makoto Katori , Hiraku Nishimori

Modeling important engineering problems related to flow-induced damage (in the context of hydraulic fracturing among others) depends critically on characterizing the interaction of porous media and interstitial fluid flow. This work…

数值分析 · 数学 2012-06-27 Daniel Z. Turner

For continuous-time Markov jump processes on irreducible networks with time-independent rate constants, we employ a transition-based formalism to express the long-time precision of a single integrated current over an observable channel in…

统计力学 · 物理学 2026-05-25 Alberto Garilli , Diego Frezzato

The most rigorous physical description of non-equilibrium gas dynamics is rooted in the numerical solution of the Boltzmann equation. Yet, the large number of degrees of freedom and the wide range of both spatial and temporal scales render…

计算物理 · 物理学 2024-10-25 Anthony Chang , Narendra Singh , Marco Panesi

Using the volume averaging technique of Jackson (1997), we derive a set of two-fluid equations that describe the dynamics of a mono-disperse non-Brownian colloidal suspension in the semi-dilute regime. The equations are tensorial and can be…

流体动力学 · 物理学 2025-01-06 Dalton J. E. Harvie

Motivated by mixing processes in analytical laboratories, this work investigates enhanced dissipation in non-autonomous flows. We study the evolution of concentrations governed by the advection-diffusion equation, where the velocity field…

偏微分方程分析 · 数学 2025-09-04 Johannes Benthaus , Camilla Nobili

The article provides a unitary and complete solution to the fluctuation-dissipation relations for particle hydromechanics in a generic fluid, accounting for the hydrodynamic fluid-particle interactions (including arbitrary memory kernels in…

统计力学 · 物理学 2024-12-30 Massimiliano Giona , Giuseppe Procopio , Chiara Pezzotti

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

Condensation phenomena in non-equilibrium systems have been modeled by the zero-range process, which is a model of particles hopping between boxes with Markovian dynamics. In many cases, memory effects in the dynamics cannot be neglected.…

统计力学 · 物理学 2012-12-18 Ori Hirschberg , David Mukamel , Gunter M. Schütz

We consider a general N-degree-of-freedom dissipative system which admits of chaotic behaviour. Based on a Fokker-Planck description associated with the dynamics we establish that the drift and the diffusion coefficients can be related…

混沌动力学 · 物理学 2009-10-31 Bidhan Chandra Bag , Deb Shankar Ray

Two influential exact results in classical one-dimensional diffusive transport are about current statistics for the symmetric simple exclusion process: one in the stationary state on a finite line coupled with two unequal reservoirs at the…

统计力学 · 物理学 2026-05-07 Kapil Sharma , Soumyabrata Saha , Sandeep Jangid , Tridib Sadhu