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Classical Physics papers — page 6

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Analytic solutions for the longitudinal and the transverse components of the vector potential in the Lorenz gauge
We derive analytic solutions for the longitudinal and the transverse components of the vector potential in the Lorenz gauge for an arbitrary time-dependent charge-current distribution.
Kuo-Ho Yang, Robert D. NevelsMar 28, 2026
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Induced-current magnetophoresis
When an electrically conducting non-magnetic particle is subjected to a spatially varying and oscillating applied magnetic field of amplitude H + G · x and frequency…
V. KumaranMar 28, 2026
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A note on Gurzadyan theorem
The issue and proof of Gurzadyan theorem are presented concisely, avoiding tedious and unnecessary calculations that would mask what is essential. The goal is to provide a good mathematical and…
Christian CarimaloMar 26, 2026
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Criterion for the Thermal Radiation Spectrum in Classical Physics
Two criteria for the spectra of relativistic waves are proposed. Zero-point radiation provides the identity representation of the conformal group in Minkowski spacetime. Thermal radiation provides…
Timothy H. BoyerMar 25, 2026
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Self-Force of a Dirac String: An Explicit Calculation
A Dirac string can be modeled as a semi-infinite solenoid carrying a fixed magnetic flux. Dirac pointed out that such a string should experience a nonvanishing and divergent self-force, but explicit…
Alberto G. RojoMar 15, 2026
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About the dissipative Newton equation
The thermodynamic basis of classical mechanics is presented. In this framework, ideal Newtonian mechanics emerges as the zero-dissipation limit of a more general, dissipative theory. The…
Peter VánMar 14, 2026
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Zeeman effect in hydrogen treated in classical physics with classical zero-point radiation
The Zeeman effect for the low resonant energy states of hydrogen is treated with classical electrodynamics including classical zero-point radiation. The electron is regarded as a classical charged…
Timothy H. BoyerMar 13, 2026
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Relativistic hydrogen in classical electrodynamics with classical zero-point radiation
Classical electrodynamics including classical electromagnetic zero-point radiation leads to a ground state and resonant excited states for a charged particle in a Coulomb potential. These resonant…
Timothy H. BoyerMar 13, 2026
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Classical linear oscillator in classical electrodynamics with classical zero-point radiation
A classical linear oscillator is treated in the small amplitude limit so that it will be approximately relativistic. The oscillator involves a charge particle in a linear potential in classical…
Timothy H. BoyerMar 13, 2026
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Nonlinear potential field in contact electrification
The cause of electron transfer in contact electrification is one of the most hotly debated physical problems today. In this study, the electron transfer is hypothesized to be partly driven by the…
Benjamin J. Kulbago, James ChenMar 11, 2026
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Extended Structural Dynamics and the Lorentz Abraham Dirac Equation: A Deformable Charge Interpretation
Radiation reaction in classical electrodynamics is traditionally described by the Lorentz Abraham Dirac equation (LAD), whose point particle formulation leads to well known difficulties including…
Patrick BarAviMar 9, 2026
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Physical properties of elementary particles: Inertia and Interaction
Matter has two physical properties: Inertia and interaction. If we define the center of mass of an elementary particle in relation to its inertia, and a center of interaction in relation to its…
Martin RivasMar 9, 2026
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Unimode material based low-frequency underwater acoustic isolation
Extremal materials are a specific class of Cauchy materials whose elasticity tensor has one or more zero eigenvalues. Each zero eigenvalue corresponds to a soft mode requiring zero strain energy,…
Yu Wei, Binghao Zhao, Fen Du et al.Mar 9, 2026
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Simple Flow Rules for Three-Phase Viscoplastic Materials
Noting that there is very little literature on the topic, a first analytical approach is proposed in this work for estimating the viscosity-like parameter of three-phase viscoplastic materials. In a…
Frank Montheillet, David PiotMar 6, 2026
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Still The New Classical Relativistic Equation of Charge Motion in an Electromagnetic Field
The non-relativistic Goedecke equation (1975), which describes the motion of a point charge taking into account the radiation reaction, has no "runaway" solutions. A "physical" method…
Anatoliy V. SermyaginMar 5, 2026
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Hamilton Revised: The Action Principle for Initial Value Problems
We present the variational action principle for initial value problems in classical, conservative-force point particle mechanics. We rigorously derive this formulation by taking the classical limit…
W. A. Horowitz, A. RothkopfMar 2, 2026
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Balance laws versus the Principle of Virtual Work and the limited scope of Noll's theorem
The relationship between balance laws and the Principle of Virtual Work as well as the structure of contact interactions in continua remain foundational issues in Mechanics. In this work, we revisit…
Casey Rodriguez, Francesco dell'IsolaFeb 27, 2026
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Nonlinear stabilization of chiral modes in space-time modulated parametric oscillators
Phase control of parametric modulation in coupled oscillator networks enables sculpting of dynamical states with desired spatiotemporal symmetries. Symmetry-aware Floquet analysis successfully…
Scott Lambert, Elise Jaremko, Jayson PauloseFeb 26, 2026
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Mechanics and thermodynamics: A link between the two theories
In this note, we analyze the relationships that should govern the use of thermodynamics in fluid mechanics in a way that we believe is understandable to mathematicians. We also aim to better define…
Henri GouinFeb 25, 2026
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Damped harmonic oscillator revisited: a new approach to energy decay in the case of Coulomb, Stokes, and Newton damping
Approximate formulas are derived to describe energy loss in a harmonic oscillator that experiences three distinct damping mechanisms: constant-magnitude (Coulomb), velocity-proportional (Stokes), and…
Robert Pezer, Karlo LelasFeb 23, 2026
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Continuous and discontinuous realizations of first-order phase transitions
First-order phase transitions are commonly associated with a discontinuous behavior of some of the thermodynamic variables and the presence of a latent heat. In the present study it is shown that…
Matthias HempelFeb 18, 2026
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Asymptotic Effects of Incident Angle and Lateral Conduction in Electromagnetic Skin Heating
Previously we derived the leading term asymptotic solution of temperature distribution in skin heating by an electromagnetic beam at an arbitrary incident angle. The asymptotic analysis is based on…
Ulises Jaime-Yepez, Hongyun Wang, Shannon E. Foley et al.Feb 18, 2026
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Representation-induced superposition breakdown in linear physics
The superposition principle is fundamental to linear wave systems, ensuring that their physical behaviour is independent of the chosen basis representation. While this principle underpins many…
Michael Mazilu, Andriejus DemčenkoFeb 17, 2026
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Development and validation of a sharp interface immersed boundary method for high-speed flows
This study presents an advanced sharp-interface immersed boundary method (IBM) integrated with the blastFOAM library on the OpenFOAM platform for high-speed compressible flow simulations. The…
Punit Pandey, Ankit Bansal, Krishna Mohan Singh et al.Feb 17, 2026
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Description of 4 Spacecraft, Moving on Elliptic Kepler Orbits
The four-spacecraft formation is essential for measurements of various physical fields. The use of this formation on substantially elliptical heliocentric Kepler orbits allows measuring gradients of…
Vladimir P. Zhukov, Nikolai K. Iakovlev, Alexander A. Bochkarev et al.Feb 14, 2026
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