Person: Smirnov Rueda, Román
Universidad Complutense de Madrid
Faculty / Institute
Análisis Matemático Matemática Aplicada
Now showing 1 - 10 of 12
PublicationIs the Free Electromagnetic Field a Consequence of Maxwell's Equations or a Postulate?(Springer, 1998) Chubykalo, Andrey E.; Múnera Orozco, Héctor Augusto; Smirnov Rueda, RománIt is generally accepted that solutions of so called “free” Maxwell equations for = 0 (null charge density at every point of the whole space) describe a free electromagnetic field for which flux lines neither begin nor end in a charge). In order to avoid ambiguities and unacceptable approximation which have place in the conventional approach in respect to the free field concept, we explicitly consider three possible types of space regions: (i) “isolated charge-free” region, where a resultant electric field with the flux lines which either begin or end in a charge is zero in every point, for example, inside a hollow conductor of any shape or in a free-charge universe; (ii) “non-isolated charge-free” region, where this electric [see (i)] field is not zero in every point; and (iii) “charge-neutral” region, where point charges exist but their algebraic sum is zero. According to these definitions a strict mathematical interpretation of Maxwell's equations gives following conclusions: (1) In “isolated charge-free” regions electric free field cannot be unconditionally understood neither as a direct consequence of Maxwell's equations nor as a valid approximation: it may be introduced only as a postulate; nevertheless, this case is compatible is the existence of a time-independent background magnetic field. (2) In both “charge-neutral” and “non-isolated charge-free” regions, where the condition = function or = 0 respectively holds, Maxwell's equation for the total electric field have non-zero solutions, as in the conventional approach. However, these solution cannot be strictly identified with the electric free field. This analysis gives rise to the reconsideration of the free-electromagnetic field concept and leads to the simplest implications in respect to charge-neutral universe. PublicationConvection Displacement Current and Generalized Form of Maxwell–Lorentz Equations(World Scientific Publ Co Pte Ltd, 1997) Chubykalo, Andrey E.; Smirnov Rueda, RománSome mathematical inconsistencies in the conventional form of Maxwell's equations extended by Lorentz for a single charge system are discussed. To surmount these in the framework of Maxwellian theory, a novel convection displacement current is considered as additional and complementary to the famous Maxwell displacement current. It is shown that this form of the Maxwell–Lorentz equations is similar to that proposed by Hertz for electrodynamics of bodies in motion. Original Maxwell's equations can be considered as a valid approximation for a continuous and closed (or going to infinity) conduction current. It is also proved that our novel form of the Maxwell–Lorentz equations is relativistically invariant. In particular, a relativistically invariant gauge for quasistatic fields has been found to replace the non-invariant Coulomb gauge. The new gauge condition contains the famous relationship between electric and magnetic potentials for one uniformly moving charge that is usually attributed to the Lorentz transformations. Thus, for the first time, using the convection displacement current, a physical interpretation is given to the relationship between the components of the four-vector of quasistatic potentials. A rigorous application of the new gauge transformation with the Lorentz gauge transforms the basic field equations into a pair of differential equations responsible for longitudinal and transverse fields, respectively. The longitudinal components can be interpreted exclusively from the standpoint of the instantaneous "action at a distance" concept and leads to necessary conceptual revision of the conventional Faraday–Maxwell field. The concept of electrodynamics dualism is proposed for self-consistent classical electrodynamics. It implies simultaneous coexistence of instantaneous long-range (longitudinal) and Faraday–Maxwell short-range (transverse) interactions that resembles in this aspect the basic idea of Helmholtz's electrodynamics. PublicationAnomalously small retardation of bound (force) electromagnetic fields in antenna near zone(EPL Association, European Physical Society, 2011-03) Missevitch, Oleg V.; Kholmetskii, Alexsander L.; Smirnov Rueda, RománAt fundamental level this work uncovers the actually incomplete knowledge of the energy transmission and propagation related to bound (force) electromagnetic (EM) fields. To deal with this problem, we present an experimental approach to a separate study of propagation characteristics of bound and radiation EM fields produced by antennas in a vacuum. A series of our recent experiments continues (J. Appl. Phys., 101 (2007) 023532; 102 (2007) 013529) with improved technical realizations extended for different ultra-high-frequency (UHF) radiation wavelengths. The experimental results show anomalously small retardation of bound EM fields within about the half of the near zone size. PublicationMeasurement of propagation velocity of bound electromagnetic fields in near zone(American Institute of Physics, 2007) Kholmetskii, Alexsander L.; Missevitch, Oleg V.; Smirnov Rueda, RománWe start with the general approach based on conventional solutions to Maxwell's equations and show that in the near zone of macroscopic electromagnetic sources the electromotive force produced in receiving loop antenna is intimately linked to the fundamental structure as well as to causal properties of the classical electromagnetic field as a superposition of bound and radiation components. As a consequence, we propose and implement a direct experimental procedure for the correct identification of retarded positions of bound field contributions on the oscilloscope time scale as a function of a distance from the emitting loop antenna. It provides unambiguous empirical information on causal characteristics of bound electromagnetic fields. According to the observation of no retardation inside the near zone of the emitting loop antenna, the experimental evidence for nonlocal properties of bound electromagnetic fields is reported. PublicationOn two complementary types of total time derivative in classical field theories and Maxwell's equations(Springer, 2005-10) Smirnov Rueda, RománClose insight into mathematical and conceptual structure of classical field theories shows serious inconsistencies in their common basis. In other words, we claim in this work to have come across two severe mathematical blunders in the very foundations of theoretical hydrodynamics. One of the defects concerns the traditional treatment of time derivatives in Eulerian hydrodynamic description. The other one resides in the conventional demonstration of the so-called Convection Theorem. Both approaches are thought to be necessary for cross-verification of the standard differential form of continuity equation. Any revision of these fundamental results might have important implications for all classical field theories. Rigorous reconsideration of time derivatives in Eulerian description shows that it evokes Minkowski metric for any flow field domain without any previous postulation. Mathematical approach is developed within the framework of congruences for general 4-dimensional differentiable manifold and the final result is formulated in form of a theorem. A modified version of the Convection Theorem provides a necessary cross- verification for a reconsidered differential form of continuity equation. Although the approach is developed for one-component (scalar) flow field, it can be easily generalized to any tensor field. Some possible implications for classical electrodynamics are also explored. PublicationExperimental test on the applicability of the standard retardation condition to bound magnetic fields(American Institute of Physics, 2007-01-15) Kholmetskii, Alexsander L.; Missevitch, Oleg V.; Smirnov Rueda, Román; Ivanov, Alexander R.; Chubykalo, Andrey E.We start with the fact that the actual consensus on the empirical verification of the standard retardation condition does not take into account the complex structure of the whole electromagnetic field in the near zone. The most rigorous and methodologically consistent way to the empirical test of the causal behavior of the whole EM field should be based on testing causal properties for each component-velocity dependent (bound) and acceleration dependent (radiation)-taken separately. Preliminary discussions on the relative contribution of bound and radiation terms for an idealized magnetic dipole provided us with a methodological approach to causal characteristics of bound fields. In view of practical implementation of this method, we made an analysis of the finite size loop antennas. The use of multisection loop antennas was fully justified by a substantial rise of the ratio of bound-to-radiation field strength. Finally, we effected numerical calculations, taking into account particular experimental settings. Comparison with the experimentally obtained data showed considerable discrepancy with the predictions of the standard electromagnetic theory. A possible interpretation in terms of nonlocal properties of bound fields in near zone is proposed. PublicationLong-time calculation of the thermal magnetization reversal using Metropolis Monte Carlo(Elsevier Science Bv, 2002-04) Chubykalo-Fesenko, Oksana; Kauffman, J.; Lengsfield, B.; Smirnov Rueda, RománThe standard Metropolis Monte Carlo is used to simulate thermal magnetization decay in ensemble of interacting and non-interacting particles. The fitting of demagnetization curves to simple Neel Arrhenius model, using the volume distribution, suggests that in I non-interacting case one Monte Carlo step is proportional to a square root of time. The same dependence arises from the consideration of magnetic particle moving in the external potential according to Brownian dynamics. This constitutes the basis of the so-called Monte Carlo With quantified time step The analytical calculations show that the method works reasonably in the case of small-to-intermediate size barriers and for a high anisotropy system. The application of the method to magnetic recording media reveals qualitatively the same dependence on the exchange parameter as Obtained by kinetic Monte Carlo. PublicationThe special relativity principle and superluminal velocities(Physics Essays Publication, 2012-12) Kholmetskii, A. L.; Missevitch, Oleg V.; Smirnov Rueda, Román; Yarman, T.In view of numerous experimental results reported in the past decades on the observation of faster-than-light electromagnetic signals, we analyze the structure of relativistic kinematics, where such superluminal signals are allowed. As the first step, we suggest replacing the Einstein postulates with the general relativity principle (the possibility of describing any phenomenon in any frame of reference achievable in nature) applied to an inertial motion in an empty space. Then, as in common relativistic kinematics, we also arrive at the Lorentz transformations between inertial reference frames, where a superluminal motion of massless entities is not prohibited (in particular, for perturbations of bound electromagnetic field). However, for any objects with a finite rest mass, the limited velocity remains always less than the light velocity c, and in such a way we avoid the tachyonic-type theories in their common meaning. We show that the application of superluminal electromagnetic signals to synchronization of distant clocks yields the common expressions for the relativity of the simultaneity of events for different inertial observers. This result confirms the validity of the Lorentz transformations in generalized relativistic kinematics, though along with superluminal signals. Hence we arrive at the invariance of the space-time interval, as in common relativistic kinematics, where, however, the superluminal motion of massless entities is allowed. Even so, no further changes emerge in relativistic dynamics and other common relativistic implications. Finally, we consider causal paradoxes related to the propagation and exchange of superluminal signals between inertial observers and provide their resolution PublicationOn essential incompleteness of Hertz's experiments on propagation of electromagnetic interactions(Springer, 2005-01) Smirnov Rueda, RománThe historical background of the 19th century electromagnetic theory is revisited from the standpoint of the opposition between alternative approaches in respect to the problem of interactions. The 19th century electrodynamics became the battle-field of a paramount importance to test existing conceptions of interactions. Hertz’s experiments were designed to bring a solid experimental evidence in favor of one of them. The modern scientific method applied to analyze Hertz’s experimental approach as well as the analysis of his laboratory notes, dairy and private letters show that Hertz’s “crucial” experiments cannot be considered as conclusive at many points as it is generally implied. We found that alternative Helmholtz’s electrodynamics did not contradict any of Hertz’s experimental observations of transverse components as Maxwell’s theory predicted. Moreover, as we now know from recently published Hertz’s dairy and private notes, his first experimental results indicated clearly on infinite rate of propagation. Nevertheless, Hertz’s experiments provided no further explicit information on non-local longitudinal components which were such an essential feature of Helmholtz’s theory. Necessary and sufficient conditions for a decisive choice on the adequate account of electromagnetic interactions are discussed from the position of modern scientific method. PublicationAction at a distance and self-consistency of classical electrodynamics(Springer, 1998) Chubykalo, Andrey E.; Smirnov Rueda, Román; Evans, M. V.; Vigier , J. P.; Roy, S.; Hunter, G.