A5100377310- Theoretical and Computational Physics
- Stochastic processes and statistical mechanics
- Advanced Condensed Matter Physics
- Magnetic and transport properties of perovskites and related materials
- Random Matrices and Applications
- Complex Network Analysis Techniques
- Physics of Superconductivity and Magnetism
- Advanced Sensor and Energy Harvesting Materials
- Carbon Nanotubes in Composites
- Conducting polymers and applications
- Electronic and Structural Properties of Oxides
- Rare-earth and actinide compounds
- Magnetic Properties of Alloys
- Soil and Unsaturated Flow
- Multiferroics and related materials
- Markov Chains and Monte Carlo Methods
- Power Systems and Renewable Energy
- Thermal properties of materials
- Statistical Mechanics and Entropy
- Hydrogen Storage and Materials
- Tree Root and Stability Studies
- Pickering emulsions and particle stabilization
- Nonlinear Partial Differential Equations
- Landslides and related hazards
- Smart Grid and Power Systems
Hefei University
2024
Hefei University of Technology
2008-2023
University of Science and Technology of China
2013-2014
Hefei National Center for Physical Sciences at Nanoscale
2013
The University of Tokyo
2011
Huazhong University of Science and Technology
2003
We simulate the bond and site percolation models on a simple-cubic lattice with linear sizes up to L=512, estimate thresholds be p(c)(bond)=0.24881182(10) p(c)(site)=0.3116077(2). By performing extensive simulations at these estimated critical points, we then exponents 1/ν=1.1410(15), β/ν=0.47705(15), leading correction exponent y(i)=-1.2(2), shortest-path d(min)=1.3756(3). Various universal amplitudes are also obtained, including wrapping probabilities, ratios associated cluster-size...
Explosive percolation in the Achlioptas process, which has attracted much research attention, is known to exhibit a rich variety of critical phenomena that are anomalous from perspective continuous phase transitions. Hereby, we show that, an event-based ensemble, behaviors explosive rather clean and obey standard finite-size scaling theory, except for large fluctuation pseudo-critical points. In window, multiple fractal structures emerge values can be derived crossover theory. Further, their...
Exact or precise thresholds have been intensively studied since the introduction of percolation model. Recently, critical polynomial ${P}_{B}(p,L)$ was introduced for planar-lattice models, where $p$ is occupation probability and $L$ linear system size. The solution ${P}_{B}=0$ can reproduce all known exact leads to unprecedented estimates unsolved models. In two dimensions, assuming universality ${P}_{B}$, we use it study a nonplanar lattice model, i.e., equivalent-neighbor bond...
We present a Monte Carlo study of the bond- and site-directed (oriented) percolation models in $(d+1)$ dimensions on simple-cubic body-centered-cubic lattices, with $2\ensuremath{\le}d\ensuremath{\le}7$. A dimensionless ratio is defined, an analysis its finite-size scaling produces improved estimates thresholds. also report for standard critical exponents. In addition, we probability distributions number wet sites radius gyration, $1\ensuremath{\le}d\ensuremath{\le}7$.
We investigate the geometric properties of percolation clusters by studying square-lattice bond on torus. show that density bridges and nonbridges both tend to 1/4 for large system sizes. Using Monte Carlo simulations, we study probability a given edge is not bridge but has its loop arcs in same find it governed two-arm exponent. then classify into two types: branches junctions. A branch iff at least one produced deletion tree. Starting from configuration deleting results leaf-free...
We study critical bond percolation on a seven-dimensional (7D) hypercubic lattice with periodic boundary conditions and the complete graph (CG) of finite volume $V$. numerically confirm that for both cases, number density $n(s,V)$ clusters size $s$ obeys scaling form $n(s,V) \sim s^{-\tau} \tilde{n} (s/V^{d^*_{\rm f}})$ identical fractal dimension $d^*_{\rm f}=2/3$ exponent $\tau = 1+1/d^*_{\rm f}=5/2$. then classify occupied bonds into {\em bridge} bonds, which includes branch} junction}...
We present a Monte Carlo study of the Fortuin-Kasteleyn (FK) clusters Ising model on square (2D) and simple-cubic (3D) lattices. The wrapping probability, dimensionless quantity characterizing topology FK torus, is found to suffer from smaller finite-size corrections than well-known Binder ratio, yields high-precision critical coupling as $K_c(3\rm D)=0.221\,654\,631(8)$. then geometric properties at criticality. It demonstrated that distribution largest-cluster size $C_1$ follows...
ABSTRACT Electrical percolation of carbon black (CB) and nanotubes (CNTs) filled into silicone rubber (SR) is analyzed by the three‐dimensional (3D) Monte Carlo simulation. First, 3D models simulation parameters CB CNTs are researched to narrow deviation between experimental results CB/SR CNTs/SR. The degree agglomeration most important parameter in for CB. model factor CNTs. Then, CB/CNTs/SR developed based on optimized yielded with similar experiments synergistic conductive effect two...
High-Field magnetization and magnetoresistance up to ∼55 T in Ce x La 1- Ru 2 Al 10 ( = 1, 0.75) have been measured the critical fields H c p paramagnetic region were determined. For applied magnetic filed along -axis, curve shows -linear increase at 1.3 K which is seen an antiferromagnet with a small anisotropy. The concave decreases of as large 30% below 0 for ∥ -axis difficult explain by simple antiferro order component parallel -axis. Also magnetoresistance, we recognized . Although...
We study the percolation of randomly rotating patchy particles on 11 Archimedean lattices in two dimensions. Each vertex lattice is occupied by a particle, and each model patch size number are monodisperse. When there more than one patches surface they symmetrically decorated. As proportion χ particle covered increases, clusters connected grow system percolates at threshold χ_{c}. combine Monte Carlo simulations critical polynomial method to give precise estimates χ_{c} for disks with six...
Explosive percolation (EP) has received significant research attention due to its rich and anomalous phenomena near criticality. In our recent study [Phys. Rev. Lett. 130, 147101 (2023)], we demonstrated that the correct critical behaviors of EP in infinite dimensions (complete graph) can be accurately extracted using event-based method, with finite-size scaling still described by standard theory. We perform an extensive simulation EPs on hypercubic lattices ranging from $d=2$ $6$, find...
In this paper, we present a Monte Carlo study of four explosive bond percolation models on the square lattice: (i) product rule which suppresses intrabonds (PR-SI), (ii) sum (SR-SI), (iii) enhances (PR-EI) and (iv) (SR-EI). By performing extensive simulations finite-size scaling analysis wrapping probability [Formula: see text] ratio for PR-SI, SR-SI, PR-EI, composite quantities SR-EI (defined by corresponding to two different text]-values, respectively), determine thresholds all with best...
Emergency of superconductivity at the instabilities antiferromagnetism has been widely recognized in unconventional superconductors. In copper-oxide superconductors, spin fluctuations play a predominant role electron pairing with dopants yet composite orders veil nature for hole-doped family. However, electron-doped copper oxide superconductors (cuprates) AFM critical end point is still controversy different probes, demonstrating high sensitivity to oxygen content. Here, by carefully tuning...
The L-state Potts model for rumor is the N-spin chain describing how a simple transmitted by N recreant rumormongers aggrandized. studied represented mathematically proposition with universal quantifier, which again geometrically point in space. During transmission, such changed change of rumor, has individual number N0 at beginning transmission. Correspondingly, expressing may start from an arbitrary site space, and then it shifts Thus, spin sum corresponds to walk space configuration's...
After specifying the function and performance requirements of power load management terminal unit for system, analysing harmonic analysis, alternating current signal FFT, voltage reactive compensation control, measure precision calibration algorithms etc, dissertation introduced DSP chip TMS320F2812 energy metering ADE7758 to structure implementation scheme terminal. This utilized inside A/D converter realize analysis direct measure; The method line accumulation is selected calibrate can...
Emergency of superconductivity at the instabilities antiferromagnetism (AFM), spin/charge density waves has been widely recognized in unconventional superconductors. In copper-oxide superconductors, spin fluctuations play a predominant role electron pairing with dopants yet composite orders veil nature for hole-doped family. However, electron-doped ones ending point AFM is still controversy different probes or its sensitivity to oxygen content. Here, by carefully tuning content, systematic...