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Non-Markovian effects in the evolution of open quantum systems have recently attracted widespread interest, particularly in the context of assessing the efficiency of energy and charge transfer in nanoscale biomolecular networks and quantum…

化学物理 · 物理学 2016-02-10 S. Oviedo-Casado , J. Prior , A. W. Chin , R. Rosenbach , S. F. Huelga , M. B. Plenio

We study two driven dynamical systems with conserved energy. The two automata contain the basic dynamical rules of the Bak, Tang and Wiesenfeld sandpile model. In addition a global constraint on the energy contained in the lattice is…

统计力学 · 物理学 2009-10-30 Alessandro Chessa , Enzo Marinari , Alessandro Vespignani

Within the Nagel-Schreckenberg traffic flow model we consider the transition from the free flow regime to the jammed regime. We introduce a method of analyzing the data which is based on the local density distribution. This analyzes allows…

统计力学 · 物理学 2007-05-23 S. Lubeck , M. Schreckenberg , K. D. Usadel

The societal impact of traffic is a long-standing and complex problem. We focus on the estimation of ozone production due to vehicular traffic. For this, we couple a system of conservation laws for vehicular traffic, an emission model, and…

数值分析 · 数学 2020-10-27 Caterina Balzotti , Maya Briani , Barbara De Filippo , Benedetto Piccoli

We investigate the following repulsion-consumption system with flux limitation \begin{align}\tag{$\star$} \left\{ \begin{array}{ll} u_t=\Delta u+\nabla \cdot(uf(|\nabla v|^2) \nabla v), & x \in \Omega, t>0, \tau v_t=\Delta v-u v, & x \in…

偏微分方程分析 · 数学 2024-09-10 Ziyue Zeng , Yuxiang Li

The Nagel-Schreckenberg traffic flow model shows a transition from a free flow regime to a jammed regime for increasing car density. The measurement of the dynamical structure factor offers the chance to observe the evolution of jams…

统计力学 · 物理学 2009-10-31 L. Roters , S. Lubeck , K. D. Usadel

Traffic congestion has long been an ubiquitous problem that is exacerbating with the rapid growth of megacities. In this proof-of-concept work we study intrinsic motivation, implemented via the empowerment principle, to control autonomous…

物理与社会 · 物理学 2025-05-20 Himaja Papala , Daniel Polani , Stas Tiomkin

We investigate the effect of quenched disorder in the Nagel-Schreckenberg model of traffic flow. Spatial inhomogenities, i.e. lattice sites where the braking probability is enlarged, are considered as well as particle disorder, i.e. cars of…

统计力学 · 物理学 2007-05-23 W. Knospe , L. Santen , A. Schadschneider , M. Schreckenberg

Traffic congestion leads to a sharp increase in fuel consumption and exhaust emissions, which easily leads to air pollution and fuel waste. Based on Fukui-Ishibashi (FI) model, this paper studies particulate matter(PM) emission and energy…

元胞自动机与格子气 · 物理学 2020-08-07 Dong Chen , Yanping Huang , Xue Wang , Mi Tan , Bingling Cen

We study phase transitions of a system of particles on the one-dimensional integer lattice moving with constant acceleration, with a collision law respecting slower particles. This simple deterministic ``particle-hopping'' traffic flow…

动力系统 · 数学 2009-11-10 Michael Blank

We study numerically scaling properties of the distribution of cumulative energy dissipated in an avalanche and the dynamic phase transition in a stochastic directed cellular automaton [B. Tadi\'c and D. Dhar, Phys. Rev. Lett. {\bf 79},…

统计力学 · 物理学 2009-10-31 Bosiljka Tadic

Recent advances in nano-thermometry motivate the extension of the Landauer-B\"uttiker scattering theory as to include the non-local dissipation associated with charge transport. Such a program is implemented by describing the inelastic…

介观与纳米尺度物理 · 物理学 2026-03-10 Rodolfo A. Jalabert

We consider the dynamic large deviation behaviour of Kac's collisional process for a range of initial conditions including equilibrium. We prove an upper bound with a rate function of the type which has previously been found for kinetic…

概率论 · 数学 2022-05-30 Daniel Heydecker

This paper is devoted to kinetic equations without confinement. We investigate the large time behaviour induced by collision operators with fat tailed local equilibria. Such operators have an anomalous diffusion limit. In the appropriate…

偏微分方程分析 · 数学 2024-01-12 Emeric Bouin , Jean Dolbeault , Laurent Lafleche

This paper proposes an improved cellular automaton traffic flow model based on the brake light model, which takes into account that the desired time gap of vehicles is remarkably larger than one second. Although the hypothetical steady…

元胞自动机与格子气 · 物理学 2015-03-23 Junfang Tian , Bin Jia , Shoufeng Ma , Chenqiang Zhu , Rui Jiang , YaoXian Ding

The cellular automaton model for traffic flow exhibits a jamming transition from a free-flow phase to a congested phase. In the deterministic case this transition corresponds to a critical point with diverging correlation length. In the…

统计力学 · 物理学 2009-10-30 B. Eisenblaetter , L. Santen , A. Schadschneider , M. Schreckenberg

We study the statistics of the dissipated energy in the two-dimensional random fuse model for fracture under different imposed strain conditions. By means of extensive numerical simulations we compare different ways to compute the…

统计力学 · 物理学 2009-11-13 Clara B. Picallo , Juan M. Lopez

We study the impact of global traffic light control strategies in a recently proposed cellular automaton model for vehicular traffic in city networks. The model combines basic ideas of the Biham-Middleton-Levine model for city traffic and…

We develop a method to calculate the contribution of the saddle-point fluctuations to the partition function of systems soluble by the Bethe Ansatz. Using this method we give the O(1) corrections to the free energy of the 1D repulsive delta…

统计力学 · 物理学 2009-11-10 F. Woynarovich

Complex systems can convert energy imparted by nonequilibrium forces to regulate how quickly they transition between long lived states. While such behavior is ubiquitous in natural and synthetic systems, currently there is no general…

统计力学 · 物理学 2021-04-28 Benjamin Kuznets-Speck , David T. Limmer