We investigate the evolution of globular clusters using N -body calculations and anisotropic Fokker-Planck calculations. The models include a mass spectrum, mass loss due to stellar evolution, and the tidal field of the parent galaxy. Recent N -body calculations have revealed a serious discrepancy between the results of N -body calculations and isotropic Fokker-Planck calculations. The main rea...

Individuals with Parkinson's disease (PD) commonly experience freezing of gait under time constraints, in narrow spaces, and in the dark. One commonality between these different situations is that they may all provoke anxiety, yet anxiety has never been directly examined as a cause of FOG. In this study, virtual reality was used to induce anxiety and evaluate whether it directly causes FOG. Fou...

This paper presents a new numerical method to solve time fractional Fokker-Planck equation. The space dimension is discretized to the Gauss-Lobatto points, then we apply pseudo-spectral successive integration matrix for this dimension. This approach shows that with less number of points, we can approximate the solution with more accuracy. The numerical results of the examples are displayed.

Char-bending is a term used in marine archaeology literature to describe the process of shaping long hull components (planks, wales, stringers) by bending them over open fire, from Antiquity, up modern times. Experiments were done on planks two wood species with different cross-sections. The heated fire while monitoring internal temperature and charred layer thickness side plank facing heat sou...

Abstract The phrase “make wet its upper part” ( jiang qi shang 江其上 ), which appears in the protocol inscribed on slip nos. 117–118 of Accessory Ordinance C no . 4 卒令丙四 vol. 5 Yuelu shuyuan cang Qin jian 岳麓書院藏秦簡 (“Qin Slips Housed at Academy”) as an instruction for marking document label slips, should be read “[inscribe] a plank-mark onto gang 杠其上 ). This instructs clerks to mark slips by inscri...

The master equation of chemical reactions is solved by first approximating it by the Fokker–Planck equation. Then this equation is discretized in the state space and time by a finite volume method. The difference between the solution of the master equation and the discretized Fokker–Planck equation is analyzed. The solution of the Fokker–Planck equation is compared to the solution of the master...

In 1984, H. Risken authored a book (H. Risken, The Fokker-Planck Equation: Methods of Solution, Applications, Springer-Verlag, Berlin, New York) discussing the Fokker-Planck equation for one variable, several variables, methods of solution and its applications, especially dealing with laser statistics. There has been a considerable progress on the topic as well as the topic has received greater...

We derive the generalized Fokker-Planck equation associated with the Langevin equation (in the Ito sense) for an overdamped particle in an external potential driven by multiplicative noise with an arbitrary distribution of the increments of the noise generating process. We explicitly consider this equation for various specific types of noises, including Poisson white noise and Lévy stable noise...