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Exact Analytic Solutions for the Rotation of an Axially Symmetric Rigid Body Subjected to a Constant Torque
Exact Analytic Solutions Rotation Axially Symmetric Rigid Body Constant Torque
2012/4/24
New exact analytic solutions are introduced for the rotational motion of a rigid body having two equal principal moments of inertia and subjected to an external torque which is constant in magnitude. ...
Exact Analytic Solution for the Rotation of a Rigid Body having Spherical Ellipsoid of Inertia and Subjected to a Constant Torque
rigid body dynamics kinematics rotation integrable cases of motion spherical ellipsoid of inertia
2012/4/24
The exact analytic solution is introduced for the rotational motion of a rigid body having three equal principal moments of inertia and subjected to an external torque vector which is constant for an ...
Complex-Dynamical Solution to Many-Body Interaction Problem and Its Applications in Fundamental Physics
Complex-Dynamical Solution Many-Body Interaction Problem Fundamental Physics General Physics
2012/4/25
We review the recently proposed unreduced, complex-dynamical solution to many-body problem with arbitrary interaction and its application to unified solution of fundamental problems, including foundat...
On Stochastic Error and Computational Efficiency of the Markov Chains Monte Carlo Method
Monte Carlo simulation phase coexistence Gibbs ensemble molecular simulation multi-component system
2012/4/24
In Monte Carlo simulations, the thermal equilibria quantities are estimated by ensemble average over a sample set containing a large number of correlated samples. As the stochastic error of the simula...
Towards an ultra efficient kinetic scheme. Part I: basics on the BGK equation
Kinetic equations discrete velocity models semi Lagrangian schemes Boltzmann-BGK equation 3D simulation
2012/4/16
In this paper we present a new ultra efficient numerical method for solving kinetic equations. In this preliminary work, we present the scheme in the case of the BGK relaxation operator. The scheme, b...
Extremal spacings of random unitary matrices
Extremal spacings random unitary matrices Mathematical Physics
2012/4/16
Extremal spacings between unimodular eigenvalues of random unitary matrices of size N pertaining to circular ensembles are investigated. Probability distributions for the minimal spacing for various e...
Special solutions to a compact equation for deep-water gravity waves
Special solutions compact equation deep-water gravity waves Classical Physics
2012/4/24
Recently, Dyachenko & Zakharov (2011) have derived a compact form of the well known Zakharov integro-differential equation for the third order Hamiltonian dynamics of a potential flow of an incompress...
Asymptotics of the mean-field Heisenberg model
Asymptotics the mean-field Heisenberg model Mathematical Physics
2012/4/16
We consider the mean-field classical Heisenberg model and obtain detailed information about the magnetization by studying the model on a complete graph and sending the number of vertices to infinity. ...
Exact expressions for the intercepts of r-particle momentum correlation functions in μ-Bose gas model
deformed Bose gas model deformed oscillators intercepts of correlation functions
2012/4/16
Recently, the deformed \mu-Bose gas model based on a set of so called \mu-deformed oscillators was proposed. Within that model, the intercepts of r-particle momentum correlation functions (correlation...
Localization for quasi-periodic Schrodinger operators with dynamics defined by the skew-shift and potential in a Gevrey-class
Mathematical Physics Spectral Theory dynamics quasi-periodic Schrodinger operators
2012/4/16
We consider the discrete one-dimensional Schr\"{o}dinger operator with quasi-periodic potential $v_n := \lambda v (\shift^n \, \xx)$, where $\shift : \T^2 \rightarrow \T^2, \, \shift \xx := (x_1+x_2, ...
Soft-and-Hard/D'B' Boundary Conditions and their Realization by Electromagnetic Media
Boundary Conditions Electromagnetic Media Mathematical Physics
2012/4/27
A layer of uniaxial medium with large axial permittivity and permeability can be used as a quarter-wave transformer with interesting properties. By increasing the transverse permittivity and permeabil...
Integrable equations and classical S-matrix
Integrable equations classical S-matrix Mathematical Physics
2012/4/26
We study amplitudes of five-wave interactions for evolution Hamiltonian equations differ from the KdV equation by the form of dispersion law. We find that five-wave amplitude is canceled for all three...
Bell's correlation for continuous local hidden causality is ambiguous
Bell inequalities classical probability EPR paradox General Physics
2012/4/24
In this letter it is demonstrated that Bell's correlation can be ambiguous for continuously distributed local hidden variables.
Prediction of Catastrophes: an experimental model
Prediction of Catastrophes experimental model Data Analysis
2012/4/20
Catastrophes of all kinds can be roughly defined as short duration-large amplitude events following and followed by long periods of "ripening". Major earthquakes surely belong to the class of 'catastr...
Particle filtering in high-dimensional chaotic systems
particle filtering in high dimensions chaotic systems Lorenz’96 nonlinear filtering dimensional reduction homogenization
2012/4/20
We present an efficient particle filtering algorithm for multiscale systems, that is adapted for simple atmospheric dynamics models which are inherently chaotic. Particle filters represent the posteri...