PurposeConsidering the size-dependent influence ignored by classical continuum mechanics, a new non-classical Euler–Bernoulli beam model is proposed in this paper. The fractional viscoelastic nanobeam set up using Kelvin–Voigt and Hamilton’s principle. And studies total effects of nonlocal elasticity, modified couple stress, surface energy.MethodsThe represented integral-partial differential go...

One of the most important features of the interface between an oxide and a metal is the sharp change in dielectric constant between the two materials. This suggests that the stabilisation of charges (lattice ions and defect centres) in the non-metal by the polarisation of the metal may contribute strongly to the interfacial adhesion. This effect can be treated in classical electrostatics by the...

It is pointed out that any CP violation which may be found in lattice QCD with a chiral phase in the fermion mass term cannot be relevant for the continuum theory. CP is classically conserved in the corresponding continuum theory and is non-anomalous. A symmetry in a classical field theory is said to develop an anomaly in the quantized theory if it is not possible to find any regularization to ...

Without an ultraviolet cut-off, the time evolution of the classical Yang-Mills equations give rise to a never ending cascading of the modes towards the ultraviolet, and ergodic measures and dynamical averages, such as the spectrum of characteristic Lyapunov exponents (measures of temporal chaos) or spatial correlation functions, are ill defined. A lattice regularization (in space) provides an u...

In a previous publication, we have constructed the Schrr odinger functional in Wil-son's lattice QCD. It was found that the naive continuum limit leads to a well-deened classical continuum theory. Starting from the latter, a formal continuum deenition of the Schrr odinger functional is given and its saddle point expansion is carried out to one-loop order of perturbation theory. Dimensional regu...

We investigate the continuum limit of the gauge-ball spectrum in the four-dimensional pure U(1) lattice gauge theory. In the confinement phase we identify various states scaling with the correlation length exponent ν ≃ 0.35. The square root of the string tension also scales with this exponent, which agrees with the non-Gaussian fixed point exponent recently found in the finite size studies of t...

Abstract A higher-grade theory of non-ferromagnetic thermo-elastic dielectrics which incorporates the local mass displacement, heat flux gradient, polarization inertia, and flexodynamic effects is developed. The process displacement associated with changes in material microstructure. Using fundamental principles continuum mechanics, electrodynamics, non-equilibrium thermodynamics, gradient-type...

We study a discretization of N = 2 super Yang-Mills theory which possesses a single exact supersymmetry at non-zero lattice spacing. This supersymmetry arises after a reformulation of the theory in terms of twisted fields. In this paper we derive the action of the other twisted supersymmetries on the component fields and study, using Monte Carlo simulation, a series of corresponding Ward identi...

While considerable efforts in the form of snumericald atomistic simulations have been expended to understand the mechanics of defect formation under applied strain, analogous analytical efforts have been rather few. In this work, based on the physics at the nanoscale, defect nucleation in single-walled carbon nanotubes is studied using both classical continuum field theory as well as gauge fiel...