Synchrotron particle accelerators are mainly composed of magnets. Long dipole magnets are employed to bend and to contain the beam within a circular trajectory. Their field quality is usually tested by arrays of rotating coils. Typically the measurements must be affected by low uncertainty (+10) and the calibration of the sensing coils, in terms of surface and angle, is critical. In this paper,...

We write down the Poisson structure for a relativistic particle where the Lorentz group does not act canonically, but instead as a Poisson-Lie group. In so doing we obtain the classical limit of a particle moving on a noncommutative space possessing SL q (2, C) invariance. We show that if the standard mass shell constraint is chosen for the Hamiltonian function, then the particle interacts with...

We study the asymptotic behavior of an inertial tracer particle in a random force field. We show that there exists a probability measure, under which the process describing the velocity and environment seen from the vintage point of the moving particle is stationary and ergodic. This measure is equivalent to the underlying probability for the Eulerian flow. As a consequence of the above we obta...

Our goal is to obtain a test system for the evaluation of time-stepping methods in molecular dynamics. We consider a family of deterministic systems consisting of a finite number of particles interacting on a compact interval. The particles are given random initial conditions and interact through instantaneous energyand momentum-conserving collisions. As the number of particles, the particle de...

In this paper we focus on the application of grid technology for fluid visualization. Specifically, we are interested on distributed visualization using grid. The focused visualization technique is particle tracing. They can be thought as the trajectory of massless virtual particles upon the simulated flow. We propose a distributed particle tracing system and its implementation for collaborativ...

We introduce a large class of random velocity elds on the periodic lattice and in discrete time having a certain hidden Markov structure. The generalized Lagrangian velocity (the velocity eld as viewed from the location of a single moving particle) has similar hidden Markov structure, and its law is found exactly. As a result, the law of the trajectory of an individual particle is known in prin...

The optimal barbell trajectory for snatch weightlifting has been achieved empirically by several researchers. They have studied the differences between the elite weightlifters’ movement patterns and suggested three optimal barbell trajectories (type A, B, and C). But they didn’t agree for introducing the best trajectory. One of the reasons is this idea that the selected criterion by researchers...

A vacuum medium model is advanced. The motion of a relativistic particle in relation to its interaction with the medium is discussed. It is predicted that elementary excitations of the vacuum, called ”inertons,” should exist. The equations of the particle path in Euclidean space are derived. The motion is marked by the basic quantum mechanical relations E = hν and Mv0 = h/λ (here, λ is the ampl...

A vacuum medium model is advanced. The motion of a relativistic particle in relation to its interaction with the medium is discussed. It is predicted that elementary excitations of the vacuum, called ”inertons,” should exist. The equations of the particle path in Euclidean space are derived. The motion is marked by the basic quantum mechanical relations E = hν and Mv0 = h/λ (here, λ is the ampl...

It is shown that a paradigm of classical statistical mechanics — the thermalization of a Brownian particle — has a low-dimensional, deterministic analogue: when a heavy, slow system is coupled to fast deterministic chaos, the resultant forces drive the slow degrees of freedom toward a state of statistical equilibrium with the fast degrees. This illustrates how concepts useful in statistical mec...