Simple cubic lattice
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Monte Carlo study of a generalized icosahedral model on the simple cubic lattice Open
We study the critical behavior of a generalized icosahedral model on the\nsimple cubic lattice. The field variable of the icosahedral model might take\none of twelve vectors of unit length, which are given by the normalized\nvertices of th…
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Simple cubic random-site percolation thresholds for neighborhoods containing fourth-nearest neighbors Open
In this paper, random-site percolation thresholds for a simple cubic (SC) lattice with site neighborhoods containing next-next-next-nearest neighbors (4NN) are evaluated with Monte Carlo simulations. A recently proposed algorithm with low …
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Site percolation on square and simple cubic lattices with extended neighborhoods and their continuum limit Open
By means of extensive Monte Carlo simulation, we study extended-range site percolation on square and simple cubic lattices with various combinations of nearest neighbors up to the eighth nearest neighbors for the square lattice and the nin…
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Bond percolation on simple cubic lattices with extended neighborhoods Open
We study bond percolation on the simple cubic lattice with various combinations of first, second, third, and fourth nearest neighbors by Monte Carlo simulation. Using a single-cluster growth algorithm, we find precise values of the bond th…
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Revealing a Vacancy Analog of the Crowdion Interstitial in Simple Cubic Crystals Open
Vacancies in simple cubic crystals of hard cubes are known to delocalize over one-dimensional chains of several lattice sites. Here, we use computer simulations to examine the structure and dynamics of vacancies in simple cubic crystals fo…
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Exact enumeration of self-avoiding walks on BCC and FCC lattices Open
Self-avoiding walks on the body-centered-cubic (BCC) and face-centered-cubic (FCC) lattices are enumerated up to lengths 28 and 24, respectively, using the length-doubling method. Analysis of the enumeration results yields values for the e…
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Monte Carlo studies of the Blume–Capel model on nonregular two- and three-dimensional lattices: phase diagrams, tricriticality, and critical exponents Open
We perform Monte Carlo simulations, combining both the Wang–Landau and the Metropolis algorithms, to investigate the phase diagrams of the Blume–Capel model on different types of nonregular lattices (Lieb lattice (LL), decorated triangular…
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Resistance computation of generalized decorated square and simple cubic network lattices Open
In the present work, the lattice Green’s function technique has been used to investigate the equivalent two-site resistance between arbitrary pairs of lattice sites in infinite, generalized decorated square and simple cubic lattices with i…
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Non-Abelian chiral spin liquid on a simple non-Archimedean lattice Open
We extend the scope of Kitaev spin liquids to non-Archimedean lattices. For\nthe pentaheptite lattice, which results from the proliferation of Stone-Wales\ndefects on the honeycomb lattice, we find an exactly solvable non-Abelian\nchiral s…
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Confined Polymers as Self-Avoiding Random Walks on Restricted Lattices Open
Polymers in highly confined geometries can display complex morphologies including ordered phases. A basic component of a theoretical analysis of their phase behavior in confined geometries is the knowledge of the number of possible single-…
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Jamming and percolation of <i>k</i> <sup>2</sup>-mers on simple cubic lattices Open
Geometric phase transition of cubes and tiles (k×k×k and k×k>×1) deposited on simple cubic lattices have been studied by numerical simulations complemented with finite-size scaling theory. The objects were irreversibly deposited into the l…
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Site-bond percolation on simple cubic lattices: numerical simulation and analytical approach Open
The site-percolation problem on simple cubic lattices has been studied by means of numerical simulation and analytical calculations based on exact counting of configurations on finite cells. Motivated by considerations of cluster connectiv…
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Confined Polymers as Self-Avoiding Random Walks on Restricted Lattices Open
Polymers in highly confined geometries can display complex morphologies including ordered phases. A basic component of a theoretical analysis of their phase behavior in confined geometries is the knowledge of the number of possible single-…
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Adsorption of neighbor-avoiding walks on the simple cubic lattice Open
We investigate neighbor-avoiding walks on the simple cubic lattice in the\npresence of an adsorbing surface. This class of lattice paths has been less\nstudied using Monte Carlo simulations. Our investigation follows on from our\nprevious …
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Robust and monodomain-like polymer-stabilized simple cubic blue phase with red, green, and blue reflective colors Open
In this work, polymer-stabilized simple cubic blue phase (PSBPII) samples with three reflective elementary colors (red, green, and blue) were successfully fabricated. The PSBPII samples showed uniform alignment after rubbing treatment, and…
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Magnetic Skyrmions and Phase Transitions in Antiferromagnetic/Ferroelectric Bilayers Open
We study in this paper the ground state and the properties of a skyrmions in magnetoelectric films, namely antiferromagnetic/ferroelectric superlattices in a support by steepest descent method and extensive Monte Carlo simulation. The grou…
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Exact Partition Functions of Interacting Self-Avoiding Walks on Lattices Open
\nIdeas and methods of statistical physics have been shown to be useful for understanding some interesting problems in physical systems, e.g. universality and scaling in critical systems. The interacting self-avoiding walk (ISAW) on a latt…
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The phase diagram of the next-neighbour Ising model of the face-centred cubic lattice Open
We use Monte Carlo simulation to determine the stable structures in the second-neighbour Ising model on the face-centred cubic lattice. Those structures are for strongly antiferromagnetic second-neighbour interactions and for ferromagnetic…
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First order phase transition with the functional renormalization group method Open
The renormalization group method, more specifically the Wegner-Houghton equation, is used to find first order phase transitions in a simple scalar field theory with a polynomial potential. An improved definition of the running parameters a…
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Exact Enumeration Approach to Estimate the Theta Temperature of Interacting Self-Avoiding Walks on the Simple Cubic Lattice Open
We compute the exact root-mean-square end-to-end distance of the interacting self-avoiding walk (ISAW) up to 27 steps on the simple cubic lattice. These data are used to construct a fixed point equation to estimate the theta temperature of…
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Landau Levels of Double-Weyl Nodes in a Simple Lattice Model Open
In the Weyl semimetals, a recently discovered class of bulk materials, inverted band gap closes in the first Brillouin zone at topologically protected points of degeneracy called the Weyl nodes.By using the Chern number formalism it is pos…
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Leaf-excluded percolation in two and three dimensions Open
We introduce the leaf-excluded percolation model, which corresponds to independent bond percolation conditioned on the absence of leaves (vertices of degree one). We study the leaf-excluded model on the square and simple-cubic lattices via…
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Numerical simulation, ANN training and predictive analysis of phase change material with 3D printing lattice structures Open
This study simulated and analysed the performance of phase change material with three lattice structures, i.e., simple cubic, body-centered cubic, and face-centered cubic, at various porosities and heat fluxes. Three parameters are analyse…
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Collapse transition of short polymers on simple cubic lattice Open
Denatured proteins and polymers exhibit two types of conformations in solution. Extended coil conformation and compact globule conformation. There is a phase transition associated with these conformation change as a function of temperature…
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Simple Hamiltonian for Quantum Simulation of Strongly Coupled 2+1D SU(2) Lattice Gauge Theory on a Honeycomb Lattice Open
We find a simple spin Hamiltonian to describe physical states of $2+1$ dimensional SU(2) lattice gauge theory on a honeycomb lattice with a truncation of the electric field representation at $j_{\rm max}=\frac{1}{2}$. The simple spin Hamil…
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Conductivity of Strongly Correlated Bosons in the Simple Cubic Lattice - Magnetic Field and Hopping Anisotropy Effects Open
We investigate optical conductivity in three dimensional system of bosons under strong magnetic eld.In particular, we consider Bose Hubbard model in the strongly correlated limit, where Mott insulator phase emerges.For chosen rational numb…
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Short-time dynamics of the three-dimensional fully frustrated Ising model Open
The critical relaxation from the low-temperature ordered state of the\nthree-dimensional fully frustrated Ising model on a simple cubic lattice has\nbeen studied using the short time dynamics method. Particles with the periodic\nboundary c…
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Confined Polymers as Self-Avoiding Random Walks on Restricted Lattices Open
Polymers in highly confined geometries can display complex morphologies including ordered phases. A basic component of a theoretical analysis of their phase behavior in confined geometries is the knowledge of the number of possible single-…
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Writhe-induced knotting in a lattice polymer Open
We consider a simple lattice model of a topological phase transition in open\npolymers. To be precise, we study a model of self-avoiding walks on the simple\ncubic lattice tethered to a surface and weighted by an appropriately defined\nwri…
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Monte-Carlo modeling of drift mobility in thin organic layers: lattice type influence Open
Hopping transport of charge carriers in thin (up to 100 nm) organic layers, which are suitable for organic light-emitting diodes and solar cells, is modeled in the framework of Gaussian disorder model. Drift mobility dependence within rang…