1,721,032 research outputs found
Numerical and analytical results for the two discs capacitor problem
Full text linkIn this paper, we study the two discs capacitor, for equal and different radii. The new results obtained allow a complete characterization of capacity coefficients and forces at short distances. An extensive numerical calculation confirms the theoretical results. The study shows the existence of a hierarchy in the divergent behaviour of the capacitance coefficients and this implies some unusual behaviour of the forces, strictly related to the dimensionality of the nearcontact zone between electrodes
Capacitance and potential coefficients at large distances
No full textThe design of capacitive sensors and devices for new and emerging applications would benefit from simple and reliable methods to estimate the capacitance between conductors in terms of the capacitance of the isolated bodies and of the distance between them. The coefficients of potential and capacitance of a pair of conductor are approximated with the first terms of an expansion formula in the inverse of their distance. The form given applies to conductors of generic shapes and position in space. A comparison with the exact value for two spheres shows agreement even for rather small distances
Magnetic monopoles in U(1)(4) lattice gauge theory with Wilson action
No full textWe construct the Euclidean Green functions for the soliton (magnetic monopole) field in the U(1)(4) Lattice Gauge Theory with Wilson action. We show that in the strong coupling regime there is monopole condensation while in the QED phase the physical Hilbert space splits into orthogonal soliton sectors labeled by integer magnetic charge
A theorem on cyclic harmonic oscillators
No full textIt is proven that the energy of a quantum mechanical harmonic oscillator with a generically time-dependent but cyclic frequency, omega(t(0)) = omega(0), cannot decrease on an average if the system is originally in a stationary state, after the system goes through a full cycle. The energy exchange always takes place in the direction from the macroscopic system (environment) to the quantum microscopic system
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