Questions tagged [simulations]
The imitation of a real-world process using an analogous process that is easier to control and experiment with.
1,246
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Ising Model magnetisation
I am simulating the 2D Ising Model and specifically looking at the time evolution of magnetisation $m$. Now, in the non-equilibrium state, magnetisation will grow as a power law with time $t$, if ...
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Accuracy of the Higuera-Cary Particle Pusher
UPDATE: 12 July 2024
This question has been answered. Also, I figured out the problem. One of the papers I was referencing (Ripperda et al.) had a typo, which was leading to the errors. The method is ...
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1
answer
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How do you solve instantaneous 3 body collisions
A few years ago I built myself a very basic python program that did some very basic collision mechanics between particles with a mass and velocity and it was helpful in learning a few things and ...
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Finite Difference Modeling of MOSFET Device
Does anyone know of any references for MOSFET modeling done using the Finite Difference Method that they could point me to? I understand the gist of the operation, namely using Poisson's equation to ...
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2
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Vertical trajectory of a projectile with quadratic drag
I was wondering is there is an equation (or function) that can predict the apogee time and height of an object given its current acceleration and the usual constants ( mass, drag coefficient, cross ...
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Distribution of scattered photons in cone-beam computed tomography (CBCT)
I am using MCGPU to simulate photon transport in cone-beam computed tomography (CBCT). I ran an experiment, where a water cylinder containing spherical objects was irradiated. The simulation software ...
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Better equations for modeling and simulating a halo orbit?
I'm trying to model a halo orbit at low altitude (10m from surface). The satellite is using propulsion to trace the circular halo path. It looks like this "from the top" (the blue ball is ...
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1
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Method of inserting random numbers in the numerical calculation of mean-squared displacement for brownian particle
I am trying to plot Mean-Squared-Displacement for a passive Brownian particle. For that I'm using the discretized over-damped version of the Langevin equation as: $$x(i+1)=x(i)+\sqrt{\frac{2.k_BT.\...
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Topological illustration of spacetime dilation: which function should I use for isometric lines spacing?
Scientific popularization, when it comes to illustrating spacetime dilation around massive objects, often relies on the description of a two-dimensional square-grid, which can be regarded as a cross-...
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Best method for numerically solving Schrodinger equation for quantum tunneling w/ arbitrary potential
Goal: to compute accurate tunneling probabilities with an arbitrary barrier using numerical solutions to Schrodinger's equation.
Main question: what method is best for generating a robust numerical ...
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Favre Averaged Navier-Stokes equations
Consider the Navier-Stokes (NS) equation
\begin{equation}
\frac{\partial (\rho u_i)}{\partial t} + \frac{\partial (\rho u_i u_j)}{\partial x_j} = - \frac{\partial p}{\partial x_i} + \frac{\partial}...
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How does the Fermi level of graphene change if it is placed in a biased pn junction or in a plate capacitor?
I ran into a problem on which I can't really find any solutions in literature. I am looking at a Graphene sheet that is sandwiched in a biased pn junction (current flows orthogonal to the Graphene ...
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1
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Numerical evaluation of gravitational light bending
I am looking into how light is being bent by objects of large masses with the intention of creating a numerical simulation of this (basically a ray tracer taking this phenomenon into account). I was ...
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Is the drag coefficient linear with speed?
I made an RC-car and wanted to simulate the drag of it in Solidworks. But after I did my simulations I put my results in a graph, the drag is quadratic with speed but the drag coefficient $C_D$ is ...
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Solving a system of equations involving Gaussian Integrals numerically [closed]
I wish to solve the following system of equations numerically in any software, I tried in Mathematica using the expectation functions, but I have a difficulty in understanding how to go about solving ...