Monte Carlo simulation study of a classical spin model with Dzyalosinskii-Moriya interaction and the anisotropy under magnetic field is presented. We found rich phase diagram containing multiple spiral (or Skyrme crystal) phases square, rectangular, hexagonal symmetries in addition to state. The crystal states are stabilized by or field. Hall conductivity ${\ensuremath{\sigma}}_{xy}$ calculated within $sd$ for each phases. Applying induces nonzero uniform chirality anomalous simultaneously....

Understanding of a hybrid percolation transitions (HPTs) induced by cluster coalescence, exhibiting jump in the giant size and critical behavior finite clusters, is fundamental intriguing. Here, we uncover underlying mechanism using so-called restricted-random network model, which clusters are ranked partitioned into small- large-cluster sets. As merged their rankings updated, they may move back forth across set boundary. The intervals these crossings exhibit self-organized (SOC) with two...

In the coevolving voter model, each has one of two diametrically opposite opinions, and a encountering neighbor with opinion may either adopt it or rewire connection to another randomly chosen sharing same opinion. As we smoothly change relative frequency rewiring compared that adoption, there occurs phase transition between an active frozen phase. By performing extensive Monte Carlo calculations, show is characterized by critical exponents {\beta}=0.54(1) {\nu} =1.5(1), which differ from...

We study the diffusion phenomena on negatively curved surface made up of congruent heptagons. Unlike usual two-dimensional plane, this structure makes boundary increase exponentially with distance from center, and hence displacement a classical random walker increases linearly in time. The quantum particle put heptagonal lattice is also studied framework tight-binding model Hamiltonian, we again find linear like walk. A comparison complex networks made.

We numerically investigate the heterogeneity in cluster sizes two-dimensional Ising model and verify its scaling form recently proposed context of percolation problems [Phys. Rev. E 84, 010101(R) (2011)]. The exponents obtained via finite-size analysis are shown to be consistent with theoretical values fractal dimension d(f) Fisher exponent τ for distribution. also point out that strong effects exist due geometric nature cluster-size heterogeneity.

In a number of classical statistical-physical models, there exists characteristic dimensionality called the upper critical dimension above which one observes mean-field behavior. Instead constructing high-dimensional lattices, however, can also consider infinite-dimensional structures, and question is whether this character extends to quantum-mechanical cases as well. We therefore investigate transverse-field quantum Ising model on globally coupled network Watts-Strogatz small-world by means...

We study the structure of international trade hypergraph consisting triangular hyperedges representing exporter-importer-product relationship. Measuring mean hyperdegree adjacent vertices, we first find its behaviors different from those in pairwise networks and explain origin by tracing relation between degree. To interpret observed correlation properties context strategies, decompose into two components identifying one with background remnant even exponential random hypergraphs preserving...

Phase transitions (PTs) are generally classified into second-order and first-order transitions, each exhibiting different intrinsic properties. For instance, a transition exhibits latent heat hysteresis when control parameter is increased then decreased across point, whereas does not. Recently, hybrid percolation (HPTs) issued in diverse complex systems, which the features of PTs occur at same point. Thus, question whether appears an HPT arises. Herein, we investigate this fundamental with...

Cellular ingredient concentrations can be stabilized by adjusting generation and consumption rates through multiple pathways. To explore the portion of cellular metabolism equipped with pathways, we categorize individual metabolic reactions compounds as viable or inviable: A compound is if processed two more reactions, a reaction all its substrates products are viable. Using this classification, identify maximal subnetwork nodes, referred to {\it core}, in bipartite networks across thousands...

Cellular ingredient concentrations can be stabilized by adjusting generation and consumption rates through multiple pathways. To explore the portion of cellular metabolism equipped with pathways, we categorize individual metabolic reactions compounds as viable or inviable: A compound is if processed two more reactions, a reaction all its substrates products are viable. Using this classification, identify maximal subnetwork nodes, referred to {\it core}, in bipartite networks across thousands...

Identical oscillators in the chimera state exhibit a mixture of coherent and incoherent patterns simultaneously. Nonlocal interactions phase lag are critical factors forming within Kuramoto model Euclidean space. Here, we investigate contributions nonlocal to formation random networks. By developing an extended mean-field approximation using numerical approach, find that emergence Erdös-Rényi network is due mainly degree heterogeneity with nonzero lag. For regularly network, although all...

An allometric height-mass exponent γ gives an approximative power-law relation M ∝ H between the average mass and height H, for a sample of individuals.The individuals in present study are humans but could be any biological organism.The sampling can specific age or age-interval.The body-mass index (BMI) is often used practical purposes when characterizing it based on = 2.It here shown that actual value to large extent determined by degree correlation within studied: no means 0, whereas if...

We study the structure of international trade hypergraph consisting triangular hyperedges representing exporter-importer-product relationship. Measuring mean hyperdegree adjacent vertices, we first find its behaviors different from those in pairwise networks and explain origin by tracing relation between degree. To interpret observed correlation properties context strategies, decompose into two components identifying one with background remnant even exponential random hypergraphs preserving...