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In this article we provide various analytical and numerical methods for calculating the average drift of magnetically trapped particles across field lines in complex geometries, and we compare these methods against each other. To evaluate…

Plasma Physics · Physics 2023-10-10 R. J. J. Mackenbach , J. M. Duff , M. J. Gerard , J. H. E. Proll , P. Helander , C. C. Hegna

We introduce preferential behavior into the study on statistical mechanics of money circulation. The computer simulation results show that the preferential behavior can lead to power laws on distributions over both holding time and amount…

Physics and Society · Physics 2009-11-11 Ning Ding , Yougui Wang

Scaling properties in financial fluctuations are reviewed from the standpoint of statistical physics. We firstly show theoretically that the balance of demand and supply enhances fluctuations due to the underlying phase transition…

Statistical Mechanics · Physics 2008-12-10 H. Takayasu , M. Takayasu , M. P. Okazaki , K. Marumo , T. Shimizu

We study the origin of buoyancy forces acting on a larger particle moving in a granular medium subject to horizontal shaking and its corrections before fluidization. In the fluid limit Archimedes' law is verified; before the limit memory…

Mathematical Physics · Physics 2011-06-22 Christian Maes , Simi R. Thomas

The nature and behaviour of the drag coefficient of irregularly shaped grains within a wide range of Reynolds numbers is discussed. Using computational fluid dynamics (CFD) tools, the behaviour of the boundary layer at high Re has been…

Fluid Dynamics · Physics 2024-02-16 Álvaro Vergara , Deheng Wei , Raúl Fuentes

The global steady state of a system in thermal equilibrium exponentially favors configurations with lesser energy. This principle is a powerful explanation of self-organization because energy is a local property of a configuration. For…

Probability · Mathematics 2024-06-13 Jacob Calvert , Dana Randall

The mass transfer of interstitial impurities in a crystalline lattice under the influence of the fast-moving deformation disturbance of the type of a shock wave is considered. The velocity of the movement of the disturbance is supposed to…

Materials Science · Physics 2007-05-23 G. L. Buchbinder

We investigate the question, "how does time flow?" and show that time may change by inversions as well. We discuss its implications to a simple class of linear systems. Instead of introducing any unphysical behaviour, inversions can lead to…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Dhurjati Prasad Datta

By studying all the trades and best bids/asks of ultra high frequency snapshots recorded from the order books of a basket of 10 futures assets, we bring qualitative empirical evidence that the impact of a single trade depends on the…

Trading and Market Microstructure · Quantitative Finance 2010-10-28 Khalil al Dayri , Emmanuel Bacry , Jean-Francois Muzy

We consider the curvature driven dynamics of a domain wall separating two equivalent states in systems displaying a modulational instability of a flat front. We derive an amplitude equation for the dynamics of the curvature close to the…

Pattern Formation and Solitons · Physics 2009-11-07 Damia Gomila , Pere Colet , Gian-Luca Oppo , Maxi San Miguel

Consider a branching system with particles moving according to an Ornstein-Uhlenbeck process with drift $\mu>0$ and branching according to a law in the domain of attraction of the $(1+\beta)$-stable distribution. The mean of the branching…

Probability · Mathematics 2018-03-23 Rafał Marks , Piotr Miłoś

A non--linear diffusion equation is derived by taking into account hopping rates depending on the occupation of next neighbouring sites. There appears additonal repulsive and attractive forces leading to a changed local mobiltiy. The…

Statistical Mechanics · Physics 2009-10-31 S. Artz , M. Schulz , S. Trimper

A continuum description of granular flows would be of considerable help in predicting natural geophysical hazards or in designing industrial processes. However, the constitutive equations for dry granular flows, which govern how the…

Soft Condensed Matter · Physics 2016-08-16 Pierre Jop , Yoël Forterre , Olivier Pouliquen

The flow of the laminar boundary layer on a flat plate is studied with simulation of Navier-Stokes equations. The mechanisms of flow instability at external edge of the boundary layer and near the wall are analyzed using the energy gradient…

Fluid Dynamics · Physics 2018-06-20 Hua-Shu Dou , Wenqian Xu , Boo Cheong Khoo

We explore a stochastic model that enables capturing external influences in two specific ways. The model allows for the expression of uncertainty in the parametrisation of the stochastic dynamics and incorporates patterns to account for…

Pricing of Securities · Quantitative Finance 2024-04-11 Felix L. Wolf , Griselda Deelstra , Lech A. Grzelak

We study the motion of a two-dimensional droplet on an inclined surface, under the action of gravity, using a diffuse interface model which allows for arbitrary equilibrium contact angles. The kinematics of motion is analysed by decomposing…

Soft Condensed Matter · Physics 2015-03-19 Sumesh P. Thampi , Ronojoy Adhikari , Rama Govindarajan

This paper investigates and compares currency substitution between the currencies of Central and Eastern European (CEE) countries and the euro. In addition, we develop a model with microeconomic foundations, which identifies difference…

General Finance · Quantitative Finance 2017-04-07 Claudiu Tiberiu Albulescu , Dominique Pépin , Stephen Miller

Sliding parts in nanosystems such as Nano ElectroMechanical Systems (NEMS) and nanomotors, increasingly involve large speeds, and rotations as well as translations of the moving surfaces; yet, the physics of high speed nanoscale friction is…

Materials Science · Physics 2010-09-06 Roberto Guerra , Ugo Tartaglino , Andrea Vanossi , Erio Tosatti

The phenomenon of drift motion of single-domain ferromagnetic particles induced by the Magnus force in a viscous fluid is studied analytically. We use a minimal set of equations to describe the translational and rotational motions of these…

Mesoscale and Nanoscale Physics · Physics 2017-07-25 S. I. Denisov , B. O. Pedchenko , O. V. Kvasnina , E. S. Denisova

The ocean thermohaline circulation, also called meridional overturning circulation, is caused by water density contrasts. This circulation has large capacity of carrying heat around the globe and it thus affects the energy budget and…

Analysis of PDEs · Mathematics 2016-09-07 Hongjun Gao , Jinqiao Duan