Forces and torque on a pair of uncharged conducting cylinders in an external electric field

Exact results are given for the forces per unit length acting on each of a pair of parallel conducting cylinders when polarized by an external electric field perpendicular to the cylinders. Simple analytic results are obtained at small and large separations of the cylinders. The torque on the cylinders (which acts to align them with the electric field) is proportional to the difference between the longitudinal and transverse polarizabilities. The forces acting on the cylinders (which are equal and opposite) are given by the derivatives of the polarizabilities with respect to their separation.     

On a possibility for observing the neutron electric polarizability

A new method is proposed for setting a lower or upper limit a α _n * on the neutron electric polarizability α _an . It is based on the fact that the real part of the s-wave scattering amplitude changes sign near the s-wave neutron resonance at E=E*. The methods consist of the observation of the energy behavior of the forward-backward scattering asymmetry ω ₁ which experiences a jump at E=E*. If the jump is such that dω ₁/dE>0, then α _n >α _n *, while if dω ₁/dE<0, then α _n <α _n *, and if dω ₁/dE∼0, then α _n ∼α _n *. Seven even-even nuclei are found with α _n * from 0.5 to 3.1 in 10⁻³ fm³. Some details of a possible experiment with ¹⁸²W are described. Pis’ma Zh. éksp. Teor. Fiz. 70, No. 3, 171–174 (10 August 1999) Published in English in the original Russian journal. Edited by Steve Torstveit.     

On the frequency of oscillations in the pair plasma generated by a strong electric field

We study the frequency of the plasma oscillations of electron–positron pairs created by the vacuum polarization in a uniform electric field with strength E   in the range 0.2Ec<E<10Ec$0.2E_c<E<10E_c$. Following the approach adopted in Ruffini, et al. (2007) [1] we work out one second order ordinary differential equation for a variable related to the velocity from which we can recover the classical plasma oscillation equation when E→0$E\to 0$. Thereby, we focus our attention on its evolution in time studying how this oscillation frequency approaches the plasma frequency. The time-scale needed to approach to the plasma frequency and the power spectrum of these oscillations are computed. The characteristic frequency of the power spectrum is determined uniquely from the initial value of the electric field strength. The effects of plasma degeneracy and pair annihilation are discussed.     

Scalar particle with polarizability in the field of a plane electromagnetic wave and in an electric field

Exact solutions are obtained for the wave equations for a scalar particle that possesses polarizability in the field of a plane electromagnetic wave of arbitrary polarization and in a constant electric field.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 40–43, February, 1991.     

Electron-positron pair production in a strong asymmetric laser electric field

By solving the quantum Vlasov equation, electron positron pair production in a strong electric field with asymmetric laser pulses has been investigated. We consider three different situations of subcycle, cycle and supercycle laser pulses. It is found that in asymmetric laser pulse field, i.e.. when the pulse length of one rising or falling side is fixed while the pulse length of the other side is changed, the pair production rate and mnnber density can be significantly modified comparable to symmetric situation. For each ca,se of these three different cycle pulses, when one side pulse length is constant and the other side pulse length becomes shorter, i.e., the whole pulse is compressed, the more pairs can be produced than that in tile vice versa case, i.e., the whole pulse is elongated. In compressed pulse case there exists an optimum pulse length ratio of asylnmetric pulse lengths which makes the pair number density maximunn. Moreover, the created maximum pair number density by subcycle pulse is larger than that by cycle or/and supercycle pulse. In elongated pulse case, however, only for supercycle laser pulse the created pairs is enhanced and there exists also an optimum asymmetric pulse length ratio that maximizes the pair number density. On the other hand. surprisingly, in both cases of subcycle and cycle elongated laser pulses, the pair number density is monotonically decreasing as the asymmetry of pulse increases.     

Effect of the deuteron anisotropy: Longitudinal and transverse components of the electric dipole polarizability

The anisotropy effect of the electric polarization (stretching) of the deuteron in the Coulomb field, caused by the tensor character of the nuclear force, is investigated. The values of the longitudinal (with the major axis, or the spin of the deuteron, directed along the electric field), and transverse components of the deuteron electric dipole polarizability that correspond to the low-energy n-p data, are predicted to be α₆ = 0.669 fm³ and α_⊥ = 0.555 fm³ (the potential YYm). The values of the major and minor semi-axes of the deuteron are calculated.     

Experimental investigation of the transverse electric field in charge-coupled devices

We report a detailed experimental study of the transverse electric, field in charge-coupled devices. Using a gate-controlled photodiode structure, the effects of doping density, oxide thickness, gate length and gate voltage on the transverse electric field are examined and compared with theoretical calculations. It is found that the existing theoretical model tends to overestimate the transverse field in samples of high doping density and large gate length, or when the gate voltage difference is large.     

Effect of a transverse electric field on the Landau bands in a Weyl semimetal

The Landau bands in crossed magnetic and electric fields are studied for the case of a Weyl semimetal. The expression for the energy spectrum of such a system is obtained using an approach based on the Lorentz shift. It is shown that the electric field leads to a substantial transformation of the Landau bands. At the electric field equal to v_F H/c, the collapse of the Landau levels occurs and the motion becomes completely linear. Under this condition, the wavefunction is nonzero only for the states with p _z = 0. This significantly affects the phenomena related to the unusual surface states, which are characteristic of such materials.     

Equilibrium configurations of uncharged conducting liquid jets in a transverse electric field

Solutions for the problem on the equilibrium configurations of uncharged conducting liquid jets in a transverse electric field are obtained. These solutions correspond to finite-amplitude non-axisymmetric azimuthal deformations of the surface of a round jet: the jet is stretched along the field in its cross-section. The range of electric fields is determined for which solutions of the problem exist. If the electric field strength is over some critical value, the electrostatic equations have no solution, and the jet splits. The obtained solutions are qualitatively examined for stability under small azimuthal perturbations.     

Calculation of the nuclear electric polarizability

Starting from a simple hydrodynamical hamiltonian, an analytical expression is derived for the nuclear electric polarizability. The comparison with more detailed calculations is very satisfactory.     

On the dynamics of the Ising model in a transverse field

Including mode coupling terms we give the equation of motion for the classical version of the transverse Ising model. The critical behaviour for d ? 2 is dominated by the mode coupling terms. The corresponding kinetic coefficient diverges with $\text{z =}\text{1}\text{2}\text{(d ? 2)}$. For 2 < d ? 4 the model behaves like a relaxator model.     

Erratum to: Peculiarities of pair creation by a peak electric field

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