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Statistical properties of Brownian motion that arise by analyzing, separately, trajectories over which the system energy increases (upside) or decreases (downside) with respect to a threshold energy level, are derived. This selective…

统计力学 · 物理学 2019-08-02 Galen T. Craven , Abraham Nitzan

Drastic change in dynamics and statistics in a chemical reaction system, induced by smallness in the molecule number, is reported. Through stochastic simulations for random catalytic reaction networks, transition to a novel state is…

适应与自组织系统 · 物理学 2009-11-13 Akinori Awazu , Kunihiko Kaneko

Non-equilibrium critical phenomena generally exist in many dynamic systems, like chemical reactions and some driven-dissipative {reactive} particle systems. Here, by using computer simulation and theoretical analysis, we demonstrate the…

软凝聚态物质 · 物理学 2021-05-26 Qun-Li Lei , Hao Hu , Ran Ni

This paper investigates the use of synthetic control methods for causal inference in macroeconomic settings when dealing with possibly nonstationary data. While the synthetic control approach has gained popularity for estimating…

计量经济学 · 经济学 2025-05-29 Zhentao Shi , Jin Xi , Haitian Xie

We analyze a microscopic RNA model, which includes two widely used models as limiting cases, namely it contains terms for bond as well as for stacking energies. We numerically investigate possible changes in the qualitative and quantitative…

定量方法 · 定量生物学 2009-11-10 Bernd Burghardt , Alexander K. Hartmann

Recent fluorescence spectroscopy measurements of single-enzyme kinetics have shown that enzymatic turnovers form a renewal stochastic process in which the inverse of the mean waiting time between turnovers follows the Michaelis-Menten…

统计力学 · 物理学 2011-11-18 Soma Saha , Somdeb Ghose , R. Adhikari , Arti Dua

Causality implies that by measuring an absorption spectrum, the time-dependent linear response function can be retrieved. Recent experiments suggest a link between the shape of spectral lines observed in absorption spectroscopy with the…

Microscopic biological systems operate far from equilibrium, are subject to strong fluctuations, and are composed of many coupled components with interactions varying in nature and strength. Researchers are actively investigating the…

统计力学 · 物理学 2023-12-25 Emma Lathouwers , David A. Sivak

In this paper, we present criteria for non-exponential ergodicity of continuous-time Markov chains on a countable state space. These criteria can be verified by examining the ratio of transition rates over certain paths. We applied this…

概率论 · 数学 2024-02-09 Minjoon Kim , Jinsu Kim

We consider damped stochastic systems in a controlled (time-varying) quadratic potential and study their transition between specified Gibbs-equilibria states in finite time. By the second law of thermodynamics, the minimum amount of work…

统计力学 · 物理学 2018-03-23 Yongxin Chen , Tryphon Georgiou , Allen Tannenbaum

Statistical Mechanics deals with ensembles of microstates that are compatible with fixed constraints and that on average define a thermodynamic macrostate. The evolution of a small system is normally subjected to changing constraints and…

统计力学 · 物理学 2016-10-26 J. Ricardo Arias-Gonzalez

The effect of interactions on dynamics of coupled motor proteins is investigated theoretically. A simple stochastic discrete model, that allows to calculate explicitly the dynamic properties of the system, is developed. It is shown that…

软凝聚态物质 · 物理学 2009-11-11 Evgeny B. Stukalin , Anatoly B. Kolomeisky

There is a relation between the irreversibility of thermodynamic processes as expressed by the breaking of time-reversal symmetry, and the entropy production in such processes. We explain on an elementary mathematical level the relations…

统计力学 · 物理学 2007-05-23 C. Maes , K. Netocny

We compute higher order contributions to the free energy of noncommutative quantum electrodynamics at a nonzero temperature $T$. Our calculation includes up to three-loop contributions (fourth order in the coupling constant $e$). In the…

高能物理 - 理论 · 物理学 2009-09-29 F. T. Brandt , J. Frenkel , C. M. Muramoto

In this paper, we study the null and approximate controllability of a class of fully nonlocal coupled stochastic reaction--convection--diffusion systems. The system consists of two forward stochastic parabolic equations driven by general…

最优化与控制 · 数学 2026-03-31 Abdellatif Elgrou , Federica Gregorio , Abdelaziz Rhandi

We suggest a scheme of electromagnetic chirality-induced negative refraction utilizing magneto-electric cross coupling in a four-level atomic system. The negative refraction can be achieved with the two chirality coefficients having the…

量子物理 · 物理学 2024-03-29 Shun-Cai Zhao , Zheng-Dong Liu , Jun Zheng , Gen Li

Instabilities in thermodynamic systems are often undesirable, as they can lead to loss of control or even catastrophic behavior. Yet, the same mechanisms can also generate rich nonequilibrium behavior and may play a constructive role in…

统计力学 · 物理学 2026-05-08 Aaron Beyen , Francesco Casini , Christian Maes

Anomalous kinetics of infective (e.g., autocatalytic) reactions in open, nonhyperbolic chaotic flows are important for many applications in biological, chemical, and environmental sciences. We present a scaling theory for the singular…

混沌动力学 · 物理学 2007-05-23 Adilson E. Motter , Ying-Cheng Lai , Celso Grebogi

We study analytically and numerically a model metabolic cycle composed of an arbitrary number of species of catalytically active particles. Each species converts a substrate into a product, the latter being used as the substrate by the next…

软凝聚态物质 · 物理学 2023-09-29 Vincent Ouazan-Reboul , Jaime Agudo-Canalejo , Ramin Golestanian

Understanding anomalous transport and reaction kinetics due to microscopic physical and chemical disorder is a long-standing goal in many fields including geophysics, biology, and engineering. We consider reaction-diffusion characterized by…

软凝聚态物质 · 物理学 2017-10-11 Gerald J. Lapeyre , Marco Dentz