Einstein’s conversion from a static to an expanding universe (Vol. 45 No.2)

Credit: Archives Lemaître, Université Catholique, Louvain
Albert Einstein accepted the modern cosmological view that the universe is expanding, only long after several of his contemporaries had demonstrated it with astrophysical observations.
Until 1931, physicist Albert Einstein believed that the universe was static, in line with his 1917 model. Now, the author explains how Einstein changed his mind and adopted the notion of an expanding universe following many encounters with some of the most influential astrophysicists of his generation.
He then fiercely resisted the view that the universe was expanding. For example, in 1922, Alexander Friedman showed that Einstein’s equations were viable for dynamical worlds. And, in 1927, Georges Lemaître, concluded that the universe was expanding by combining general relativity with astronomical observations.
It is only by April 1931 that Einstein finally adopted a model of an expanding universe. In 1932 he teamed up with Willem de Sitter, to propose an eternally expanding universe. This became the cosmological model generally accepted until the middle of the 1990s.
H. Nussbaumer, “Einstein’s conversion from his static to an expanding universe”, Eur. Phys. J. H, 39, 37 (2014)
[Abstract]
Einstein’s forgotten model of the universe (Vol. 45 No.2)

Credit: Museum of the History of Science, University of Oxford, UK.
New insights into Einstein’s view of the cosmos from the translation and study of one of his least known papers.
This work provides the first English translation and an analysis of one of Albert Einstein’s little-known papers, “On the cosmological problem of the general theory of relativity.” Published in 1931, it features a forgotten model of the universe, while refuting Einstein’s own earlier static model of 1917. In this paper, Einstein introduces a cosmic model in which the universe undergoes an expansion followed by a contraction. This interpretation contrasts with the monotonically expanding universe of the widely known Einstein-de Sitter model of 1932.
The authors provide insights into Einstein’s view of cosmology. At that time, the first pieces of evidence for an expanding universe emerged, among others, stemming from Hubble’s observations of the expanding universe. In this paper, the authors also discuss Einstein’s view of issues such as the curvature of space and the timespan of the expansion, while also uncovering some anomalies in Einstein’s calculations.
C. O’Raifeartaigh and B. McCann (2014), “Einstein’s cosmic model of 1931 revisited”, Eur. Phys. J. H, 39, 63 (2014)
[Abstract]
Electric charge disorder: A key to biological order? (Vol. 43 No. 4)

Electrically net-neutral objects are found to attract strongly if a small amount of charge disorder is present on their surface, holding the key to a possible understanding of biological pattern recognition. This article demonstrates that random patches of disordered, frozen electric charges spread throughout surfaces, which are overall neutral, can interact with the long-range twisting force strong enough to be felt across the whole mesoscopic scale and compete with Casimir-van der Waals forces.
The twisting forces acting on a randomly charged sphere mounted on a central axis, which is next to a randomly charged flat substrate, are investigated. Because small amounts of positive and negative charges are spread in a disordered mosaic throughout both surfaces, they induce transient attractive or repulsive twisting forces, regardless of the surfaces’ overall electrical neutrality. These forces’ fluctuations are studied using statistical averaging methods.
It appears that the fluctuations’ root-mean-square value grows in proportion with the total area of the two apposed surfaces. By contrast, it only decreases in inverse proportion to the distance separating the sphere from the substrate. This counter-intuitive result suggests that the long-range twisting force, created by virtue of the disorder of surface charges, is expected to be much stronger and longer-ranged than the elusive Casimir-van der Waals forces.
This could have implications for biological pattern recognition, such as lock and key phenomena based on attraction between biological macromolecules leading to pre-alignment prior to their interaction.
Sample-to-sample torque fluctuations in a system of coaxial randomly charged surfaces
A. Naji, J. Sarabadani, D.S. Dean and R. Podgornik, Eur. Phys. J. E, 35, 24 (2012)
[Abstract]
Electric/magnetic dipole in an electromagnetic field (Vol. 45 No.5-6)
How does an electric (or magnetic) dipole behave in an electromagnetic field, when its velocity becomes comparable with the speed of light? This problem has been solved for the first time in this work, where novel relativistic effects were found. In particular, it has been shown that the concept of “hidden” momentum of magnetic dipoles in an electric field, being disputable up to date, is strongly required to derive relativistically adequate solutions. Moreover, a novel concept of “latent” momentum of electric dipole should be also involved into the description of dipoles.
As it is known, the energy and momentum constitute a four-vector in the four-dimensional space-time, which obeys Lorentz transformations. Hence, the revealing of novel components of the dipole momentum leads to the appearance of related contributions to their total energy. As a result, the energy of the ultra-relativistic electric/magnetic dipole occurs essentially depending on the mutual orientation of velocity, electric (magnetic) dipole moment and electric (magnetic) field.
Finally, the role of the known relativistic effects (contraction of scale, dilation of time, Thomas-Wigner rotation of coordinate axes of the inertial reference frame in the successive space-time transformations) is disclosed, while the force and torque on a moving dipole are calculated.
A. Kholmetskii, O. Missevitch and T. Yarman, “Electric/magnetic dipole in an electromagnetic field: force, torque and energy”, Eur. J. Phys. Plus, 129, 215 (2014)
[Abstract]
Electrical asymmetry effect in capacitively coupled plasmas (Vol. 45 No.3)

In modern plasma applications an independent control of ion energy and ion flux is desirable to best meet process requirements. Using rf-plasma excitation at least two different frequencies need to be applied, which grants an independent modulation of ion flux and ion energy. By applying a fundamental frequency and at least one even harmonic, the relative phase shift between both frequencies directly influences the self-bias voltage. This effect is called the “Electrical Asymmetry Effect“, since the absolute values of the minimum and maximum of the resulting waveform differ from each other depending on the relative phase shift. Using the Multipole Resonance Probe, a constant electron density in the plasma bulk is determined over a wide range of applied relative phase shifts with constant voltage amplitudes of both frequencies. This directly leads to an ion flux towards the surface, which is independent from the relative phase shift, whereas the ion energy is set by the phase dependent self-bias voltage. Nevertheless, it is also shown, that this independent control is partly limited by self-excited harmonics in the process.
S. Bienholz, T. Styrnoll and P. Awakowicz, “On the electrical asymmetry effect in large area multiple frequency capacitively coupled plasmas”, J. Phys. D: Appl. Phys., 47, 065201 (2014)
[Abstract]
Electrical breakdown in space-borne microwave equipment (Vol. 41, No. 6)

Electrical breakdown (multipactor) constitutes a severe problem in many modern microwave systems, e.g space borne communication equipment. The breakdown discharge tends to generate noise, change the device impedance, heat the device walls and may permanently damage the devices. The basic physics involved in the multipactor breakdown phenomenon is well known. However, new applications give rise to situations where previous results concerning breakdown are not applicable. The concomitant uncertainties in predicted breakdown power levels makes it necessary to allow for large safety margins in device specifications and/or to use expensive test procedures.
To improve the situation, a strong effort has been made within a close collaboration between Centre National d’Etudes Spatiales in Toulouse, France, Chalmers University of Technology, Gothenburg, Sweden, Institute of Applied Physics, Nizhny Novgorod, Russia and General Physics Institute, Moscow, Russia. The present paper reports on recent results obtained for coaxial waveguides, which are commonly used for transmission of microwaves. A comprehensive analysis is made of multipactor breakdown thresholds in such structures using theoretical modelling and numerical simulations, which are corroborated with results of detailed experiments.
The results provide new knowledge and prediction capability concerning multipactor breakdown in microwave systems involving coaxial waveguides and should be an important input for an upgrading of the document for European Cooperation for Space Standardization.
Experimental and numerical investigation of multipactor discharges in a coaxial waveguide
I.A. Kossyi, G.S. Luk’yanchikov, V.E. Semenov, N.A. Zharova, D. Anderson, M. Lisak and J. Puech, J. Phys. D: Appl. Phys. 43, 345206 (2010)
[Abstract]
Electrical conduction along edge dislocations in GaN (Vol. 44 No. 2)

Electrical conduction along dislocations in semiconductors has attracted much attention both from fundamental and practical viewpoints. Fundamentally, such dislocations can be one-dimensional electronic systems and their conduction mechanism has already been investigated. On the other hand, the issue of the dislocation conduction should be practically important because it might degrade the performance of semiconductor devices. Here, local current conduction due to dislocations in GaN has been studied by scanning spreading resistance microscopy (SSRM). Fresh dislocations, induced by plastic deformation, were used to see their intrinsic properties.
The SSRM images showed many bright spots with high conductivity. The spots form chains along the slip direction and appear to be due to the edge dislocations introduced by deformation, which are terminated at the observed surface. Here, the line direction and Burgers vector of the dislocations are l = [0001] and b = (a/3) [1 10], resp. Previous studies have shown that grown-in screw dislocations with l = b = c[0001] are conductive but that grown-in edge dislocations with l = [0001] and b = (a/3) [1
10] are not, in contrast to our results. This apparent discrepancy should arise from the difference in the core structure between deformation-induced fresh dislocations and grown-in dislocations possibly decorated with native point defect or impurities. Theoretically, the electronic structures of the dislocations in GaN have been shown to change sensitively with the core structure, which should bring large conductivity differences. Local current-voltage spectra, measured at conductive spot positions, indicated a Frenkel-Poole mechanism for the conduction. These findings provide new insights into the issue of electrical conduction along dislocations in semiconductors.
T. Yokoyama, Y. Kamimura, K. Edagawa and I. Yonenaga, ‘Local current conduction due to edge dislocations in deformed GaN studied by scanning spreading resistance microscopy’, Eur.Phys. J. Appl. Phys. 61, 1010 (2013).
[Abstract]
Electromagnetic force density and energy-momentum tensor in any continuous medium (Vol. 42, No. 5)
For more than a century, physicists have searched for a unique and general form for the force density that an electromagnetic field imposes on a medium. The existing expressions for this quantity, obtained, e.g., by Minkowski, Einstein and Laub, Abraham, and Helmholtz, are different, and, as such, give different predictions in particular physical situations. The theories of Abraham and Minkowski, for example, ignore the existence of electro- and magnetostriction. Moreover, real media with dispersion, dissipation, and nonlinearities have not been addressed much.
We present an unambiguous general equation for the electromagnetic force density f = -∇T- (dG/dt) expressed in terms of a new three-dimensional energy-momentum tensor T and momentum density G of the field. The tensor T can be written as T = TM + IV, where TM is the Minkowski tensor, I the unit tensor, and V the density of the field-matter interaction potential that is responsible for electro- and magnetostriction. Remarkably, if the medium is not magnetic, the momentum density G is given by Abraham’s expression G = ExH/c2. If the material obeys the Clausius-Mossotti law, the tensor T becomes the Helmholtz tensor that to our knowledge has not been contradicted in any experiment so far.
The general equation obtained for the force density can be applied to essentially any natural or designed material whether inhomogeneous, anisotropic, nonlinear, dispersive, or dissipative, and even to materials providing optical gain. We also calculate the rate of work done on a medium by an electromagnetic field, and using the result, obtain the four-dimensional energy-momentum tensor T4 in spacetime. Interestingly, this tensor is physically very close to the almost forgotten tensor of Einstein and Laub.
Electromagnetic force density and energy–momentum tensor in an arbitrary continuous medium
A. Shevchenko and M. Kaivola, J. Phys. B: At. Mol. Opt. Phys. 44, 175401 (2011)
[Abstract]
Electron impact dissociation of ND+: formation of D+ (Vol. 42, No. 6)
Nitrogen is a common contaminant species in fusion reactors such as the ITER (International Thermonuclear Experimental Reactor). Thus, the collisional properties of nitrogen-containing plasma compounds are widely studied experimentally and theoretically. Here we show the results of absolute cross section measurements for the electron impact dissociative excitation of ND+ yielding D+, especially at low electron energies near the onset of the dissociation. The identification of indirect and resonant processes is a particular challenge in that energy regime. Excitation is likely to be influenced by vibrationally excited levels populated within the X2Π ground state of ND+(v). Two mechanisms can produce these levels: (i) the endothermic reaction D2+(v') + N and (ii) the ion-molecule reaction D2(v") + N+. The latter is the first step in a sequence of molecular activated processes, which confirms that such a reaction chain is important for an understanding of the overall plasma chemistry. The low experimental energy threshold observed in the present studies indicates that the importance of contribution of Rydberg states via the capture of the incoming electron into doubly excited electronic states of (ND)**.
Electron impact dissociation of ND+: formation of D+
J. Lecointre, D.S. Belic, S. Cherkani-Hassani, and P. Defrance, Eur. Phys. J. D, 63, 475 (2011)
[Abstract]
Electron scavenging to mimic radiation damage (Vol. 47 No. 5-6)

New study could help unveil negative effect of radiation on biological tissues due to better understanding of low energy electron-induced reactions
High energy radiation affects biological tissues, leading to short-term reactions. These generate, as a secondary product, electrons with low energy, referred to as LEEs, which are ultimately involved in radiation damage. In a new study, scientists study the effect of LEEs on a material called trifluoroacetamide (TFAA). This material was selected because it is suitable for electron scavenging using a process known as dissociative electron attachment (DEA). These findings were recently published, as part of a topical issue on Advances in Positron and Electron Scattering. Experiments confirm that DEA reactions occur due to electrons entering unoccupied molecular orbitals, at an energy level located near one electronvolt. This means that low-energy electrons can be exploited with solid materials like TFAA to trigger selective reactions, resulting in multiple bond cleavages inside the material. Ultimately, this leads to the creation of specific negative ions and stable molecules of interest.
J. Kopyra, C. König-Lehmann, E. Illenberger, J. Warneke and P. Swiderek, , Low energy electron induced reactions in fluorinated acetamide – probing negative ions and neutral stable counterparts, Eur. Phys. J. D 70, 140 (2016)
[Abstract]
Electron wave packet after tunnel ionization (Vol. 44 No. 6)

The dynamics of electron ionization are an important topic in attosecond science. Applying a strong laser pulse, electrons can quantum mechanically tunnel through the potential barrier created by the combined Coulomb field of the atom and the laser field. At the tunnel exit, it is commonly assumed that the electron velocity parallel to the electric field is zero, contrary to the well-described distribution of transverse momenta.
After ionization, electrons propagate in the remainder of the laser pulse, where they acquire a momentum spread due to the different phases of the field at their individual exit time. However, the longitudinal momentum spread measured in experiments on helium is considerably larger than that.
Monte Carlo simulations with zero initial longitudinal momentum agree with the theoretical predictions of acquired spread, while simulations that include a longitudinal momentum spread at the tunnel exit are compatible with experimental data. The authors introduced a new method to investigate electron velocity spreads after ionization. Applying this method to experimental data lead to a more accurate reconstruction of the electron wave packet immediately after tunnelling.
C. Hofmann, A. S. Landsman, C Cirelli, A. N. Pfeiffer and U. Keller, ‘Comparison of different approaches to the longitudinal momentum spread after tunnel ionization’, J. Phys. B: At. Mol. Opt. Phys. 46, 125601 (2013)
[Abstract]
Electronic counterpart to ecological models revealed (Vol. 47 No. 3)

Peering into the future of populations with the help of complex networks of predictive maps.
Predicting the future from the present—that’s what logistic maps can do. For example, they can be used to predict the evolution of a population in the near future based on its present situation. They are relevant when studing systems such as entire populations, where the behaviour of the separate units—which have the ability to self-organise—cannot explain the behaviour of the system as a whole. The authors have now developed an electronic version of a logistic map that is capable of interacting with many other maps, making the model scalable. As a benchmark to explain new emerging behaviours of entire complex systems, they have studied networks of logistic maps coupled together at various levels. Their findings were recently published and make it possible to more easily compare previous computer simulations with experimental results obtained using this state-of-the art electronic model.
A. L'Her, P. Amil, N. Rubido, A. C. Marti and C. Cabeza, Electronically implemented coupled logistic maps, Eur. Phys. J. B 89, 81 (2016)
[Abstract]
Electronic rescattering dynamics in intense few-cycle laser fields (Vol. 43 No. 3)

The interaction of intense laser fields with atoms gives rise to characteristic strong-field effects, most notably above-threshold ionization and high-harmonic generation. After the electron tunnels out of the atomic potential, it is accelerated by the laser field before being driven back to the parent ion by the same field. The returning electron energy ranges from a few to a few hundred eV depending on the field parameters. Upon rescattering, parts of the electron wave-packet may recombine with the atom under emission of energetic radiation of harmonics of the laser frequency. The harmonic radiation carries characteristics of the atomic potential, as well as of the rescattering electron. This sequence of processes can be directly visualized by a quantum phase space analysis. Using a Wigner phase-space distribution, one can relate the coordinate-momentum space distribution of the returning electron to the temporal emission pattern of the harmonic spectrum (see Figure).
Such relation between the time-frequency vs. the coordinate-momentum space distribution has been calculated for different atomic model potentials, the Coulomb potential supporting a Rydberg series and short-range potentials, with a finite number of bound states. The important role of dynamic bound-state polarization effects in the harmonic emission can be identified. The long-range part of the Coulomb spectrum modifies the local momentum distribution at the moment of rescattering. This might become important for an improved description of experiments aiming towards a tomographic reconstruction of the electronic structure of a system using the harmonic spectrum.
Quantum phase-space analysis of electronic rescattering dynamics in intense few-cycle laser fields
S. Gräfe, J. Doose, J. Burgdörfer, J. Phys. B: At. Mol. Opt. Phys. 45, 055002 (2012)
[Abstract]
Electroweak model without a Higgs particle (Vol. 42, No. 4)
Thanks to the great accuracy in predicting experimental data, the standard model of particle physics is widely considered to be a building block of our current knowledge of the structure of matter. In spite of this success, we are still lacking an essential piece of evidence, namely the detection of the Higgs boson, a hypothetical massive elementary particle whose existence makes it possible to explain how most of the known elementary particles become massive. In this paper, an alternative electroweak model is presented that assumes running coupling constants described by energy-dependent entire functions. Contrary to the conventional formulation the action contains no physical scalar fields and no Higgs particle, even if the foreseen masses for particles are compatible with known experimental values. In addition the vertex couplings possess an energy scale for predicting scattering amplitudes that can be tested in current particle accelerators. As a result the paper provides an essential alternative to the current established knowledge in the field and addresses an issue that might soon be resolved, as the Large Hadron Collider could provide the experimental evidence of the existence or non-existence of the Higgs boson.
Ultraviolet complete electroweak model without a Higgs particle
J.W. Moffat, Eur. Phys. J. Plus, 126, 53 (2011)
[Abstract]
Emergent gain materials for active photonics (Vol. 48 No. 1)

Nowadays semiconductor nanostructures developed by colloidal methods have emerged as an alternative to the classical III-V semiconductors and rare earth technologies to provide active functionalities in photonic devices. Their outstanding optical properties include high absorption cross section, high quantum yield of emission at room temperature, or the capability of tuning the band-gap with the size/base material. As a consequence, these materials have been successfully applied in several fields, such as photodetection, amplification, generation of light or sensing. For these purposes their solution process nature provides a cheap fabrication, and an easy incorporation on a broad range of substrates and photonic structures. This review summarizes the great effort undertaken by the scientific community to construct active photonic devices based on semiconductors fabricated by chemical methods. The work compares the performances demonstrated by semiconductor nanocrystals (colloidal quantum dots, quantum rods and quantum wells) with those provided by organometal halide perovskites, and describes their appropriate integration into photonic architectures (waveguides and cavities) to achieve stimulated emission.
I. Suárez Alvarez, Active photonic devices based on colloidal semiconductor nanocrystals and organometallic halide perovskites, Eur. Phys. J. Appl. Phys. 75, 30001 (2016)
[Abstract]
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