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In this perspective we consider how modern statistical mechanics and response theory can be applied to understand the response of polar molecules to an applied electric field and the fluctuations in these systems. Results that are…

统计力学 · 物理学 2024-01-08 Debra J. Searles , Stephen Sanderson

A finite-time fluctuation theorem is proved for the diffusion-influenced surface reaction A<->B in a domain with any geometry where the species A and B undergo diffusive transport between the reservoir and the catalytic surface. A…

统计力学 · 物理学 2018-12-24 Pierre Gaspard , Raymond Kapral

Nonequilibrium complex systems are often effectively described by the mixture of different dynamics on different time scales. Superstatistics, which is "statistics of statistics" with two largely separated time scales, offers a consistent…

统计力学 · 物理学 2015-05-18 Sumiyoshi Abe

Reaction-diffusion systems, which consist of the reacting particles subject to diffusion process, constitute one of the common examples of non-linear statistical systems. In low space dimensions $d \leq 2$ the usual description by means of…

统计力学 · 物理学 2023-10-24 Michal Hnatič , Matej Kecer , Tomáš Lučivjanský

We study a stochastic two-species chemical reaction system with two mechanisms. One mechanism consists of chemical interactions which govern the overall drift of species amounts in the system; the other mechanism consists of resampling,…

概率论 · 数学 2014-05-06 John K. McSweeney , Lea Popovic

To study the fluctuations and dynamics in chemical reaction processes, stochastic differential equations based on the rate equation involving chemical concentrations are often adopted. When the number of molecules is very small, however,…

化学物理 · 物理学 2007-05-23 Yuichi Togashi , Kunihiko Kaneko

In this review, we systematically examine the principles and the practices of fluctuations such as the momentum and the charge fluctuations as applied to the heavy ion collisions. Main emphases are: (i) Fluctuations as signals of phase…

高能物理 - 唯象学 · 物理学 2007-05-23 Sangyong Jeon , Volker Koch

The theory of mesoscopic fluctuations is applied to inhomogeneous solids consisting of chaotically distributed regions with different crystalline structure. This approach makes it possible to describe statistical properties of such mixture…

统计力学 · 物理学 2015-06-25 V. I. Yukalov

In this paper, we investigate how stochastic reaction processes are affected by external perturbations. We describe an extension of the deterministic metabolic control analysis (MCA) to the stochastic regime. We introduce stochastic…

定量方法 · 定量生物学 2009-08-21 Kyung Hyuk Kim , Herbert M. Sauro

Stochastic thermodynamics as reviewed here systematically provides a framework for extending the notions of classical thermodynamics like work, heat and entropy production to the level of individual trajectories of well-defined…

统计力学 · 物理学 2015-06-05 Udo Seifert

Condensation of fluctuations is an interesting phenomenon conceptually distinct from condensation on average. One stricking feature is that, contrary to what happens on average, condensation of fluctuations may occurr even in the absence of…

统计力学 · 物理学 2014-07-31 Marco Zannetti , Federico Corberi , Giuseppe Gonnella

We develop a field-theoretical description of dynamical heterogeneities and fluctuations in supercooled liquids close to the (avoided) MCT singularity. Using quasi-equilibrium arguments we eliminate time from the description and we…

统计力学 · 物理学 2011-09-23 Silvio Franz , Giorgio Parisi , Federico Ricci-Tersenghi , Tommaso Rizzo

At finite concentrations of reacting molecules, kinetics of diffusion-controlled reactions is affected by intra-reactant interactions. As a result, multi-particle reaction statistics cannot be deduced from single-particle results. Here we…

统计力学 · 物理学 2019-08-23 Tal Agranov , Baruch Meerson

The kinetic processes in nanoparticle-based catalysis are dominated by large fluctuations and spatiotemporal heterogeneities, in particular for diffusion-influenced reactions which are far from equilibrium. Here, we report results from…

化学物理 · 物理学 2020-11-03 Yi-Chen Lin , Won Kyu Kim , Joachim Dzubiella

We consider stochastic thermodynamics as a theory of statistical inference for experimentally observed fluctuating time-series. To that end, we introduce a general framework for quantifying the knowledge about the dynamical state of the…

统计力学 · 物理学 2015-05-19 Bernhard Altaner , Jürgen Vollmer

Perturbation experiments are carried out by contact process and its mean-field version. Here, the mortality rate is increased or decreased suddenly. It is known that the fluctuation enhancement (FE) occurs after the perturbation, where FE…

种群与进化 · 定量生物学 2012-07-20 Satoru Morita , Kei-ichi Tainaka , Hiroyasu Nagata , Jin Yoshimura

We study the response of chemical reaction networks driven far from equilibrium to logarithmic perturbations of reaction rates. The response of the mean number of a chemical species is observed to be quantitively limited by number…

统计力学 · 物理学 2023-05-09 Hyun-Myung Chun , Jordan M. Horowitz

Fluctuating hydrodynamics (FHD) provides a framework for modeling microscopic fluctuations in a manner consistent with statistical mechanics and nonequilibrium thermodynamics. This paper presents an FHD formulation for isothermal reactive…

流体动力学 · 物理学 2018-09-05 Changho Kim , Andy Nonaka , John B. Bell , Alejandro L. Garcia , Aleksandar Donev

Employing the stochastic wave function method, we study quantum features of stochastic entropy production in nonequilibrium processes of open systems. It is demonstarted that continuous measurements on the environment introduce an…

量子物理 · 物理学 2013-10-16 B. Leggio , A. Napoli , A. Messina , H. -P. Breuer

Many examples of chemical and biological processes take place in large-scale environmental flows. Such flows generate filamental patterns which are often fractal due to the presence of chaos in the underlying advection dynamics. In such…

混沌动力学 · 物理学 2009-11-10 Tamas Tel , Takashi Nishikawa , Adilson E. Motter , Celso Grebogi , Zoltan Toroczkai