This paper presents a two-dimensional investigation of the phase diagram for global minimizers to a Cahn–Hilliard functional with long-range interactions. Based upon the H−1 gradient flow, we introduce a hybrid numerical method to navigate through the complex energy landscape and access an accurate depiction of the ground state of the functional. We use this method to numerically compute the ph...

We present a detailed study of the stability conditions of hydrogen-antihydrogen–like quasimolecules using both variational and finite-size scaling calculations. The stability diagram of the nuclear charge Z as a function of the internuclear distance R shows bound and unbound regions separated by a first-order critical line. Calculations of the leptonic annihilation rate show a peculiar behavio...

We study the stability of the replica-symmetric solution of a two-sublattice infinite-range spin-glass model, which can describe the transition from an antiferromagnetic to a spin-glass state. The eigenvalues associated with replica-symmetric perturbations are in general complex. The natural generalization of the usual stability condition is to require the real part of these eigenvalues to be p...

The vacuum diagram is calculated at second order for theories with self-interacting massless fields in the framework of finite causal perturbation theory. It is pointed out that the infrared behaviour of the vacuum diagram leads to unstable Fock vacua for QCD or massless QED, but not for quantum gravity. Therefore a radical rearrangement of the physical system must take place for such theories....

Nanoparticles often self-assemble into hexagonal-close-packed (hcp) structures although it is predicted to be less stable than face-centered-cubic (fcc) packing in hard-sphere models. In addition to close-packed fcc and hcp superlattices, we observe formation of nonclose-packed simple-hexagonal (sh) superlattices of nearly spherical PbS, PbSe, and gamma-Fe2O3 nanocrystals. This surprisingly ric...

The nonlinear dynamics such as bifurcation and chaos has got lot of attention in research fraternity. The power electronics is a dynamic and nonlinear field in which chaos plays an important role. The time dynamic and nonlinearity is cannot be neglected or it is default case in power electronics. The present paper discusses the simulative study of Bifurcation and chaotic behaviour in the single...

We discuss the derivation and interpretation of a generalized surface phase diagram, based on first-principles density-functional calculations. Applying the approach to hydrogenated GaN surfaces, we find that the Gibbs free energies of relevant reconstructions strongly depend on temperature and pressure. Choosing chemical potentials as variables results in a phase diagram that provides immediat...

Systems of coupled oscillators have been seen to exhibit chimera states, i.e. states where the system splits into two groups where one group is phase locked and the other is phase randomized. In this work, we report the existence of chimera states in a system of two interacting populations of sine circle maps. This system also exhibits the clustered chimera behavior seen earlier in delay couple...

Modern neuroscientific research help to solve the impotent challenge in curriculum design and teaching for enhancing students’ ability to organize information in a way that makes it efficient in response to an appropriate context such as problem solving and critical thinking via knowing about the mechanism of different type of memories especially long term memory. At first, we should to c...

ess as: A ciety (20 and host s.2014.0 Abstract This paper analyzes the dynamics of a Cournot duopoly model with different strategies. We offer results on existence, stability and local bifurcations of the equilibrium points. The bifurcation diagrams and Lyapunov exponents of the model are presented to show that the model behaves chaotically with the variation in the parameters. The state variab...