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Networks of globally coupled, noise activated, bistable elements with connection time delays are considered. The dynamics of these systems is studied numerically using a Langevin description and analytically using (1) a Gaussian…

Statistical Mechanics · Physics 2009-11-11 Daniel Huber , Lev Tsimring

The increasing global spread of electric vehicles (EVs) has introduced significant interdependence between transportation and power networks. Most of the previous studies on coupled networks focus on the formation of equilibrium states…

Systems and Control · Electrical Eng. & Systems 2023-04-10 Jiaqi Li , Xiaoyuan Xu , Zheng Yan , Han Wang , Yue Chen

The time-dependent energy transfer in a driven quantum system strongly coupled to a heat bath is studied within an influence functional approach. Exact formal expressions for the statistics of energy dissipation into the different channels…

Mesoscale and Nanoscale Physics · Physics 2016-06-20 Matteo Carrega , Paolo Solinas , Maura Sassetti , Ulrich Weiss

The recently introduced method of excess collisions (MEC) is modified to estimate diffusion-controlled reaction times inside systems of arbitrary size. The resulting MEC-E equations contain a set of empirical parameters, which have to be…

Biological Physics · Physics 2009-11-11 Holger Merlitz , Konstantin V. Klenin , Chen-Xu Wu , Jörg Langowski

The mean-field steady states of a generalized model of $N$ two-state systems interacting with one mode of the radiation field in the presence of external driving and dissipation are surveyed as a function of three control parameters: one…

Quantum Physics · Physics 2018-08-08 R. Gutierrez-Jauregui , H. J. Carmichael

We make a methodological contribution by introducing a new dimension of traffic conflict severity: the probability that a driver is in a defensive state. This behavioural probability reflects an internal response to perceived risk and is…

Physics and Society · Physics 2025-06-27 Rulla Al-Haideri , Karim Ismail , Bilal Farooq , Adam Weiss

Cyclic voltammetry (CV) is a powerful technique for characterizing electrochemical properties of electrochemical devices. During charging-discharging cycles, thermal effect has profound impact on its performance, but existing theoretical…

Mesoscale and Nanoscale Physics · Physics 2023-07-04 Teng Zhao , Shuangliang Zhao , Shenggao Zhou , Zhenli Xu

Swarm robotic systems have foreseeable applications in the near future. Recently, there has been an increasing amount of literature that employs mean-field partial differential equations (PDEs) to model the time-evolution of the probability…

Systems and Control · Electrical Eng. & Systems 2022-03-24 Tongjia Zheng , Qing Han , Hai Lin

Stochastic dynamics of chemical reactions in a mutually repressing two-gene circuit is numerically simulated. The circuit has a rich variety of different states when the kinetic change of DNA status is slow. The stochastic switching…

Disordered Systems and Neural Networks · Physics 2009-11-11 Tomohiro Ushikubo , Wataru Inoue , Mitsumasa Yoda , Masaki Sasai

A model of homogeneously driven dissipative system, consisting of a collection of $N$ particles that are characterized by only their velocities, is considered. Adopting a discrete time dynamics, at each time step, a pair of velocities is…

Statistical Mechanics · Physics 2014-01-30 V. V. Prasad , Sanjib Sabhapandit , Abhishek Dhar

We have investigated the conditions necessary to achieve stronger Cherenkov-like instability of plasma waves leading to emission in the terahertz (THz) regime for semiconductor quantum wells (QWs). The surface response function is…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Antonios Balassis , Godfrey Gumbs

Driven diffusive systems have provided simple models for non-equilibrium systems with non-trivial structures. Steady state behaviour of these systems with constant boundary conditions have been studied extensively. Comparatively less work…

Statistical Mechanics · Physics 2015-12-09 Ayse Ferhan Yesil , M. Cemal Yalabik

Irreversible behaviour is traditionally associated with open stochastic dynamical systems, but an asymmetry in the probabilistic specification of a closed deterministic system can similarly lead to a disparity between the likelihoods of a…

Quantum Physics · Physics 2018-09-03 Claudia L. Clarke , Ian J. Ford

We study the entropy production of a system with a finite number of states connected by random transition rates. The stationary entropy production, driven out of equilibrium both by asymmetric transition rates and by an external probability…

Statistical Mechanics · Physics 2017-12-13 Daniel M. Busiello , Jorge Hidalgo , Amos Maritan

We introduce a unified statistical framework for quantifying system-environment coupling by treating the interaction energy $V_\mathcal{SE}$ as a stochastic variable. Using a reference-particle decomposition, we derive exact, closed-form…

Chemical Physics · Physics 2025-05-02 Mohammad Rahbar , Christopher J. Stein

We study a stochastic system of $N$ interacting particles which models bimolecular chemical reaction-diffusion. In this model, each particle $i$ carries two attributes: the spatial location $X_t^i\in \mathbb{T}^d$, and the type $\Xi_t^i\in…

Analysis of PDEs · Mathematics 2020-01-24 Tau Shean Lim , Yulong Lu , James Nolen

A general continuous-state branching processes in random environment (CBRE-process) is defined as the strong solution of a stochastic integral equation. The environment is determined by a L\'evy process with no jump less than $-1$. We give…

Probability · Mathematics 2016-01-20 Hui He , Zenghu Li , Wei Xu

We study the constitutive behaviour, the damage process, and the properties of bursts in the continuous damage fiber bundle model introduced recently. Depending on its two parameters, the model provides various types of constitutive…

Statistical Mechanics · Physics 2019-05-15 Raul Cruz Hidalgo , Ferenc Kun , Hans. J. Herrmann

We study dynamics of filling of an initially empty finite medium by diffusing particles $A$ and $B$, which arise on the surface upon dissociation of $AB$ molecules, impinging on it with a fixed flux density $I$, and desorb from it by the…

Statistical Mechanics · Physics 2007-05-23 Boris M. Shipilevsky
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