Person:
Smirnov Rueda, Román

First Name

Román

Last Name

Smirnov Rueda

URI

https://hdl.handle.net/20.500.14352/75705

Affiliation

Universidad Complutense de Madrid

Faculty / Institute

Ciencias Matemáticas

Department

Análisis Matemático Matemática Aplicada

Area

Matemática Aplicada

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Now showing 1 - 10 of 12

Experimental test on the applicability of the standard retardation condition to bound magnetic fields
(Journal of Applied Physics, 2007) 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.
The special relativity principle and superluminal velocities
(Physics essays, 2012) 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
Is the Free Electromagnetic Field a Consequence of Maxwell's Equations or a Postulate?
(Foundations of Physics Letters, 1998) Chubykalo, Andrey E.; Múnera Orozco, Héctor Augusto; Smirnov Rueda, Román
It 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.
Anomalously small retardation of bound (force) electromagnetic fields in antenna near zone
(Epl, 2011) Missevitch, Oleg V.; Kholmetskii, Alexsander L.; Smirnov Rueda, Román
At 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.
Convection Displacement Current and Generalized Form of Maxwell–Lorentz Equations
(Modern Physics Letters A, 1997) Chubykalo, Andrey E.; Smirnov Rueda, Román
Some 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.
On essential incompleteness of Hertz's experiments on propagation of electromagnetic interactions
(Foundations of Physics, 2005) Smirnov Rueda, Román
The 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.
Monte Carlo technique with a quantified time step: Application to the motion of magnetic moments
(Physical review B, 2003) Chubykalo-Fesenko, Oksana; Nowak, Ulrich; Smirnov Rueda, Román; Wongsam, Michael Anthony; Chantrell, Roy; González, M. J.
The viability of the time quantified Metropolis Monte Carlo technique to describe the dynamics of magnetic systems is discussed. Similar to standard Brownian motion, the method is introduced basing on the comparison between the Monte Carlo trial step and the mean squared deviation of the direction of the magnetic moment. The Brownian dynamics approach to the time evolution of a magnetic moment is investigated and expressions for the mean square deviations are obtained. However, the principle difference between the standard Brownian motion and the magnetic moments dynamics is the presence of the spin precession which constitutes the reversible part of the dynamics. Although some part of the precession contributes to the diffusion coefficient, it also gives rise to athermal, energy conserving motion which cannot be taken into account by Monte Carlo methods. It is found that the stochastic motion of a magnetic moment falls into one of two possible regimes: (i) precession dominated motion, (ii) nonprecessional motion, according to the value of the damping constant and anisotropy strength and orientation. Simple expressions for the diffusion coefficient can be obtained in both cases for diffusion dominated motion, i.e., where the athermal precessional contribution can be neglected. These simple expressions are used to convert the Monte Carlo steps to real time units. The switching time for magnetic particles obtained by the Monte Carlo with time quantification is compared with the numerical integration of the Landau-Lifshitz-Gilbert equations with thermal field contribution and with some well known asymptotic formulas.
Action at a distance and self-consistency of classical electrodynamics
(The Enigmatic Photon, 1998) Chubykalo, Andrey E.; Smirnov Rueda, Román; Evans, M. V.; Vigier , J. P.; Roy, S.; Hunter, G.
Incompleteness of Classical Electrodynamics and Longitudinal Non-Local Electromagnetic Action as One of the Missing Elements
(Causality and Locality in Modern Physics, Causality and Locality in Modern Physics, 1998) Smirnov Rueda, Román; Chubykalo, Andrey E.; Hunter , Geoffrey; Jeffers, Stanley; Vigier, Jean-Pierre
There is no necessity to argue that classical electrodynamics is one of the corner-stones of modern physics and cradle of Relativity. At first stages the development of electromagnetic theory proceeded in accordance with Newtonian traditional outlook on the world. Faraday’s discovery of induction highlighted limited validity of that conception in describing electromagnetic phenomena. A notion of local field was proposed by Faraday not to incorporate but to replace Newtonian action at a distance. As a result, the state of electromagnetism in the middle of the past century was characterized by opposition of a few alternatives and a search for the most adequate one. Among them there were two radically different Weber’s action at a distance and Maxwell’s field approaches on one hand, and, on the other, a compromise theory of Helmholtz who admitted simultaneous coexistence of action at a distance in form of longitudinal instantaneous electric modes with transverse electric and magnetic waves (their velocity was slightly different from that predicted by Maxwell’s theory). Hertz’s discovery of electromagnetic waves excluded definitively Weber’s alternative whereas Maxwell’s as well as Helmholtz’s theory were conceptually consistent with Hertz’s crucial experiment.
Long-time calculation of the thermal magnetization reversal using Metropolis Monte Carlo
(Journal of Magnetism and Magnetic Materials, 2002) Chubykalo-Fesenko, Oksana; Kauffman, J.; Lengsfield, B.; Smirnov Rueda, Román
The 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.