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We investigate with numerical methods the scaling of the relaxation time to equipartition in the celebrated Fermi–Pasta–Ulam model. Our numerical results strongly suggest that the time increases exponentially with an inverse power of the specific energy. Such a scaling appears to remain valid...
Wigner distributions for quantum mechanical systems whose configuration space is a finite group of odd order are defined so that they correctly reproduce the marginals and have desirable transformation properties under left and right translations. While for the Abelian case we recover known...
The relation between coordinates and the solutions of the stationary Schrödinger equation in the noncommutative algebra of functions on R 2 N is discussed. We derive this relation for a certain class of wave functions for which the quantum prepotentials depend linearly on the coordinates...
The three-dimensional Rayleigh–Benard convection is simulated numerically using the lattice Boltzmann method. The Rayleigh number and the Prandtl number are fixed at 5805 and 0.71, respectively. Stable or oscillatory roll patterns with different wave number and Nusselt number are observed in...
An upper bound is derived for the exact ground state energy E N of N negatively charged bosons and N motionless, i.e., fixed, positive charges with Coulombic interactions in arbitrary dimensions ν: E N <−N (2+ν)/ν /16π 2 ν 3 (2) ν , in units of the Rydberg, for all N ⩾(2) ν thus...
The Lamb–Mössbauer factor is derived using Tsallis statistics. The recoil free factor so obtained has weak temperature dependence which is similar to the temperature dependence observed for the Lamb–Mössbauer factor of a fractal.
A connection between fractional supersymmetric quantum mechanics and ordinary supersymmetric quantum mechanics is established in this Letter.
The kinetic theory of runaway breakdown (RB) for low-energy electrons is developed. The full complex of ionization, emission and recombination (attachment) processes is taken into account. The number of generated in RB process low-energy electrons and electric current is determined.
Starting from the standard truncated Painlevé expansion, by making use of the variable separation procedure, a general variable separation solution of the (2+1)-dimensional breaking soliton system is derived. Two classes of novel localized coherent structures like both multi-peakon–antipeakon...
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