scholarly journals Physics and Psychology: Practical Works

2019 ◽  
Author(s):  
Олег Яворук ◽  
Oleg Yavoruk
Keyword(s):  
Monte Carlo ◽  
Brownian Motion ◽  
Reaction Time ◽  
Monte Carlo Method ◽  
Undergraduate Students ◽  
Reaction Time Difference ◽  
University Teachers ◽  
Motion Speed ◽  
Difference Thresholds ◽  
Scientific Facts

The book provides a description of the interdisciplinary practical works in physics and psychology: “Observation”; “Scientific Facts”; “Time Perception”; “Reaction Time”; “Difference Thresholds”; “Scarborough’s Experiment”; “Monte Carlo Method”; “Brownian Motion”; “Speed Comparison”. It is addressed to high school and undergraduate students, as well as school and university teachers.

scholarly journals Joint law of an Ornstein–Uhlenbeck process and its supremum

2020 ◽  
Vol 57 (2) ◽  
pp. 541-558
Author(s):  
Christophette Blanchet-Scalliet ◽  
Diana Dorobantu ◽  
Laura Gay
Keyword(s):  
Monte Carlo ◽  
Distribution Function ◽  
Brownian Motion ◽  
Monte Carlo Method ◽  
Density Distribution ◽  
Parabolic Cylinder ◽  
Density Distribution Function ◽  
Uhlenbeck Process ◽  
Ornstein Uhlenbeck Process ◽  
Parabolic Cylinder Functions

AbstractLet X be an Ornstein–Uhlenbeck process driven by a Brownian motion. We propose an expression for the joint density / distribution function of the process and its running supremum. This law is expressed as an expansion involving parabolic cylinder functions. Numerically, we obtain this law faster with our expression than with a Monte Carlo method. Numerical applications illustrate the interest of this result.

scholarly journals A piecewise deterministic Monte Carlo method for diffusion bridges

2021 ◽  
Vol 31 (3) ◽  
Author(s):  
Joris Bierkens ◽  
Sebastiano Grazzi ◽  
Frank van der Meulen ◽  
Moritz Schauer
Keyword(s):  
Monte Carlo ◽  
Brownian Motion ◽  
Monte Carlo Method ◽  
Markov Process ◽  
Diffusion Processes ◽  
Diffusion Path ◽  
Sampling Scheme ◽  
Piecewise Deterministic Markov Process ◽  
Key Innovation ◽  
Sparsity Structure

AbstractWe introduce the use of the Zig-Zag sampler to the problem of sampling conditional diffusion processes (diffusion bridges). The Zig-Zag sampler is a rejection-free sampling scheme based on a non-reversible continuous piecewise deterministic Markov process. Similar to the Lévy–Ciesielski construction of a Brownian motion, we expand the diffusion path in a truncated Faber–Schauder basis. The coefficients within the basis are sampled using a Zig-Zag sampler. A key innovation is the use of the fully local algorithm for the Zig-Zag sampler that allows to exploit the sparsity structure implied by the dependency graph of the coefficients and by the subsampling technique to reduce the complexity of the algorithm. We illustrate the performance of the proposed methods in a number of examples.

Outbursts of comet Schwassmann-Wachmann 1, and the cloud of interplanetary boulders

1974 ◽  
Vol 22 ◽  
pp. 307 ◽  
Author(s):  
Zdenek Sekanina
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Method ◽  
Interplanetary Space ◽  
Porous Matrix ◽  
Maximum Diameter ◽  
Expansion Velocity ◽  
Solid Constituent ◽  
Meteoric Material ◽  
Periodic Comet

AbstractIt is suggested that the outbursts of Periodic Comet Schwassmann-Wachmann 1 are triggered by impacts of interplanetary boulders on the surface of the comet’s nucleus. The existence of a cloud of such boulders in interplanetary space was predicted by Harwit (1967). We have used the hypothesis to calculate the characteristics of the outbursts – such as their mean rate, optically important dimensions of ejected debris, expansion velocity of the ejecta, maximum diameter of the expanding cloud before it fades out, and the magnitude of the accompanying orbital impulse – and found them reasonably consistent with observations, if the solid constituent of the comet is assumed in the form of a porous matrix of lowstrength meteoric material. A Monte Carlo method was applied to simulate the distributions of impacts, their directions and impact velocities.

Structures and crystallization of vacuum-deposited amorphous Se and Sb films

1990 ◽  
Vol 48 (4) ◽  
pp. 140-141
Author(s):  
Makoto Shiojiri ◽  
Toshiyuki Isshiki ◽  
Tetsuya Fudaba ◽  
Yoshihiro Hirota
Keyword(s):  
Monte Carlo ◽  
Electron Microscope ◽  
Monte Carlo Method ◽  
Computer Program ◽  
Radial Distribution ◽  
Film Formation ◽  
Amorphous State ◽  
Two Dimensional ◽  
Amorphous Films ◽  
Binding Condition

In hexagonal Se crystal each atom is covalently bound to two others to form an endless spiral chain, and in Sb crystal each atom to three others to form an extended puckered sheet. Such chains and sheets may be regarded as one- and two- dimensional molecules, respectively. In this paper we investigate the structures in amorphous state of these elements and the crystallization.HRTEM and ED images of vacuum-deposited amorphous Se and Sb films were taken with a JEM-200CX electron microscope (Cs=1.2 mm). The structure models of amorphous films were constructed on a computer by Monte Carlo method. Generated atoms were subsequently deposited on a space of 2 nm×2 nm as they fulfiled the binding condition, to form a film 5 nm thick (Fig. 1a-1c). An improvement on a previous computer program has been made as to realize the actual film formation. Radial distribution fuction (RDF) curves, ED intensities and HRTEM images for the constructed structure models were calculated, and compared with the observed ones.

Sign in / Sign up

Export Citation Format

Share Document