F D Brown,K Sneppen
F D Brown
Game of Life is a two-state cellular automaton capable of displaying high complexity starting from simple rules. Taking inspiration from Game of Life, we introduce a new class of Cellular Automata with two types of alive states and one dead...
Directional locking and hysteresis in stripe- and bubble-forming systems on one-dimensional periodic substrates with a rotating drive [0.03%]
一维周期性旋转驱动基底上条纹和泡斑系统中的定向锁定与回滞现象
C Reichhardt,C J O Reichhardt
C Reichhardt
We examine the dynamics of a two-dimensional stripe, bubble, and crystal forming system interacting with a periodic one-dimensional substrate under an applied drive that is rotated with respect to the substrate periodicity direction x. We f...
Streamlined Krylov construction and classification of ergodic Floquet systems [0.03%]
简化的Krylov构造与正则Floquet系统的分类
Nikita Kolganov,Dmitrii A Trunin
Nikita Kolganov
We generalize the Krylov construction to periodically driven (Floquet) quantum systems using the theory of orthogonal polynomials on the unit circle. Compared to other approaches, our method works faster and maps any quantum dynamics to a o...
Yilun Shang
Yilun Shang
In this paper, we introduce the concept of anchor nodes in hypergraphs, providing a natural framework to unify and transition between the two primary classes of hypergraph percolation processes explored in the literature. The removal of anc...
J Cheraghalizadeh,Hans J Herrmann,M N Najafi
J Cheraghalizadeh
A weighted isotropic forest fire model (WFFM) is introduced with an external parameter β, representing environmental factors such as inverse temperature and humidity. The spatial configuration of trees is modeled either by uncorrelated per...
Simone Santini
Simone Santini
This paper introduces a class of random walks on graphs in which the probability of moving from a vertex u to one of its neighbors v is proportional to d_{v}^{α}, where d_{v} is the degree of v and α a parameter that characterizes the wal...
Nahal Sharafi,Christoph Martin,Sarah Hallerberg
Nahal Sharafi
Neural networks have become a widely adopted tool for tackling a variety of problems in machine learning and artificial intelligence. In this contribution, we use the mathematical framework of local stability analysis to gain a deeper under...
Analyzing diffusion-limited processes in a cylinder using pair-correlation functions [0.03%]
利用配对相关函数分析圆柱中的扩散限制过程
Benjamin James Binder
Benjamin James Binder
Diffusion-limited processes (DLP) are found in various physical, biological, and engineering systems, yet their quantification within complex spatial domains remains a challenge. In this study, we develop one-dimensional nonperiodic and per...
Ensemble-averaged mean-field many-body level density: An indicator of integrable versus chaotic single-particle dynamics [0.03%]
平均多体能级密度：可积与混沌单粒子动力学的指示器
Georg Maier,Carolyn Echter,Juan Diego Urbina et al.
Georg Maier et al.
According to the quantum chaos paradigm, the nature of a system's classical dynamics, whether integrable or chaotic, is universally reflected in the fluctuations of its quantum spectrum. However, since many-body spectra in the mean-field li...
Thermalization of one-dimensional ϕ^{4} lattices: Chirikov overlap criterion and discrete breathers [0.03%]
一维φ^4晶格的热化：Chirikov重叠准则和离散呼吸子
Yuqi Han,Yue Liu,Dahai He
Yuqi Han
We investigate the thermalization behavior of one-dimensional ϕ^{4} lattices with the help of the self-consistent phonon theory. As the energy density increases, we observe the double-scaling behavior of the thermalization time as a functi...