Continuously variable spreading exponents in the absorbing Nagel–Schreckenberg model
نویسندگان
چکیده
منابع مشابه
Avalanche and spreading exponents in systems with absorbing states.
We present generic scaling laws relating spreading critical exponents and avalanche exponents (in the sense of self-organized criticality) in general systems with absorbing states. Using these scaling laws we present a collection of the state-of-the-art exponents for directed percolation, dynamical percolation, and other universality classes. This collection of results should help to elucidate ...
متن کاملPercolation model with continuously varying exponents.
This work analyzes a percolation model on the diamond hierarchical lattice (DHL), where the percolation transition is retarded by the inclusion of a probability of erasing specific connected structures. It has been inspired by the recent interest on the existence of other universality classes of percolation models. The exact scale invariance and renormalization properties of DHL leads to recurr...
متن کاملContinuously Varying Critical Exponents Beyond Weak Universality
Renormalization group theory does not restrict the form of continuous variation of critical exponents which occurs in presence of a marginal operator. However, the continuous variation of critical exponents, observed in different contexts, usually follows a weak universality scenario where some of the exponents (e.g., β, γ, ν) vary keeping others (e.g., δ, η) fixed. Here we report ferromagnetic...
متن کاملHybrid Percolation Transition in Cluster Merging Processes: Continuously Varying Exponents.
Consider growing a network, in which every new connection is made between two disconnected nodes. At least one node is chosen randomly from a subset consisting of g fraction of the entire population in the smallest clusters. Here we show that this simple strategy for improving connection exhibits a more unusual phase transition, namely a hybrid percolation transition exhibiting the properties o...
متن کاملOptimized Schwarz Methods for Model Problems with Continuously Variable Coefficients
Abstract. Optimized Schwarz methods perform better than classical Schwarz methods because 6 they use more e↵ective transmission conditions between subdomains. These transmission conditions 7 are determined by optimizing the convergence factor, which is obtained by Fourier analysis for simple 8 two subdomain model problems. Such optimizations have been performed for many di↵erent types of 9 part...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Statistical Mechanics: Theory and Experiment
سال: 2018
ISSN: 1742-5468
DOI: 10.1088/1742-5468/aaddb2