We describe an analytical form of the Wulff plot construction procedure and derive a general expression for the surface energy from the three-dimensional equilibrium crystal shape in generalized orthogonal curvilinear coordinates. Particular expressions in Cartesian, spherical polar, and circular cylindrical coordinates are also presented. Corresponding results for a two-dimensional (2D) island...

The accuracy and efficiency of the elements proposed by finite element method (FEM) considerably depend on the interpolating functions namely shape functions used to formulate the displacement field within the element. In the present study, novel functions, namely basic displacements functions (BDFs), are introduced and exploited for structural analysis of nanobeams using finite element method ...

The intracellular viral life-cycle is an important process in tumor virotherapy. Most mathematical models for tumor virotherapy do not incorporate the intracellular viral life-cycle. In this article, a model for tumor virotherapy with the intracellular viral life-cycle is presented and studied. The period of the intracellular viral life-cycle is modeled as a delay parameter. The model is a nonl...

It has long been known that there is a relation between boundary sineGordon theory and thermodynamics of charge neutral two-component Coulomb plasma on a unit circle. On the other hand, recently it was found that open string worldsheet description of brane decay can be related to a sequence of points of thermodynamic equilibrium of one-component plasma. Here we consider a different decay proces...

In this work, we consider a graphene-like background in braneworld scenario which is one of the interesting models in cosmology and theoretical physics. Indeed, this paper is an application of holography in condense matter. We use the geometric form of potential which help to obtain field equations and solve it to obtain the energy spectrum. In that case we calculate superpotential and energy d...

We analyse the mathematical model of interaction between cancer cells and immune system, where we have considered both humoral mediated and cell-mediated Immune response. Our model includes 5 ordinary differential equations and can be analysed analytically. We have done the sensitivity analysis of our system and estimate the model parameter values using least square method. We study its equilib...

We study the Markov equilibria of a model of free riding in which n infinitely lived agents choose between private consumption and irreversible contributions to a durable public good. We show that the set of equilibrium steady states converges to a unique point as depreciation converges to zero. For any level of depreciation, moreover, the highest steady state converges to the efficient level a...

The equilibrium phase behavior of microphase-forming systems is notoriously difficult to obtain because of the extended metastability of the modulated phases. We develop a simulation method based on free-energy integration that surmounts this problem and with which we describe the modulated regime of the canonical three-dimensional axial next-nearest-neighbor Ising model. Equilibrium order para...

The Corona virus is a disease that threatens human population on earth in early 2020, the first infection began China, thought to be host mammals and then able transmits into body, this present paper will describe dynamic system of Covid-19, analyzing direction equilibrium, Disease Free Equilibrium (DFE) Endemic (EE), which can done by determining dimensionless number Basic Reproduction Number ...