# Questions tagged [simulation]

Simulation is the imitation of the operation of a real-world process or system over time.

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### How to set up a simple Monte Carlo simulation?

there is a 1% chance that there will be a scattering event, if there is a scattering event the direction of scattering will be determined by a random sample of the custom[a_] function and if there is ...
3answers
3k views

### Computational Bayesian analysis in Mathematica: Any plans to develop MCMC?

Does anyone know if there are any plans to develop an MCMC capability in Mathematica? My reasoning for asking is that as it stands, I can't seem to find any 'out-of-the-box' functions/capabilities ...
1answer
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### How best to simulate n-body systems in a functional way?

I want to simulate a N-body system in the most functional way possible. The system I'm modeling are metallic colloidal particles in a solution of peroxide water, as here http://arxiv.org/pdf/1502....
1answer
124 views

### Monte Carlo Simulation of a Double Well Potential (Edited)

I am looking for a possible way to simulate the temperature effect on a collection of atoms sitting within a double well potential, say something like ...
2answers
1k views

### Animating wave motion in water

Further to this question I found on MSE, I tried to replicate from here this is as far as I got: ...
1answer
112 views

### Numerical simulation for density of strings in a ball

I am trying to numerically reproduce the Mathematica result for the density of strings in a sphere as explained here. The program is to generate random, uniformly distributed pair points on a unit ...
0answers
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1answer
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### Including periodic boundary conditions when drawing box of particles

This is essentially a follow-up question to this older post. Given a configuration of tubes (or for simplicity cylinders), we draw them in a box using Graphics3D, ...
2answers
665 views

### Simulation of diffusion in a grid

I want to simulate a diffusive process in a 2D grid, for a central initial value of 1 to the adjacent cells initially at 0. At each time step, the value of the +1 level adjacent cells are increased ...
1answer
341 views

### Gross-Pitaevskii equation with NDSolve

I want to solve the Gross-Pitaevskii equation with NDSolve, I tried the following code: ...
0answers
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### NDSolve can solve two systems of equations separately but not simultaneously

I want to solve a system of coupled equations. After facing problems solving the coupled system, I reduced it to both of the systems uncoupled. Even uncoupled, the equations will not solve ...
2answers
354 views

### Birth Death Process with Delay

I would like to simulate birth process with time delay. Here is a reference ref on page 3. Note there is two species whereas in my case I have one species. So only equation (1) and (2) should be ...
2answers
345 views

### Schrödinger equation with a potential step

I want to simulate a Gaussian wave packet colliding with a potential step. I tried this (it indicates what do I want to solve, however I know it is naive): ...
0answers
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### How to simulate two coupled birth-death-immigration processes?

I am simulating a birth-death-immigration process for two coupled populations that interact by virtue of the birth-rate in one population being equal to the death-rate in the other population. The two ...
2answers
79 views

### How do I get my simulation to run?

I am simulating a birth-death population process. My code is ...
1answer
252 views

### Using Random walk on a region [duplicate]

I want to simulate a random walk on two dimension equation using module. Checked the input so the path works ...
6answers
4k views

### 2D random walk within a bounded area

I want to simulate a random walk in two dimensions within a bounded area, such as a square or a circle. I am thinking of using an If statement to define a boundary. ...
0answers
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### How to organize code for simulating many ODEs?

I have a large model with many variables (about a hundred) and many differential equations (non-linear). What is the best way to handle a system this size in Mathematica? Note that I am not asking ...
1answer
307 views

### Monte Carlo simulation of a financial market

I'm fairly new to Mathematica and i want to review the average prices of this model. In order to do that i need to perform a Monte Carlo simulation on my financial markets model: ...
2answers
93 views

### How do I transform my results? List-manipulation? Interpolation?

I have the data ...
2answers
1k views

### How to simulate the true reflective movement of a particle bouncing around in an ellipse?

Please help me to simulate the movement of a particle inside a region with elliptical walls such that particle is reflected from the walls and continues to move. A friend was able write code to ...
2answers
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### Bouncy Bubbles animation

I want to make a bouncing bubbles animation, looking like this. Here is a start: ...
3answers
111 views

### Number of realizations in NExpectation, Method Monte Carlo

I have been looking in NExpectation about how large the sample size is when Mathematica performs Monte Carlo simulation. For example, if we write ...
1answer
171 views

### RST controller in Mathematica

I was wondering, if it is possible to simulate an RST controller using Mathematica ? This is what I tried, but the computation of the closed loop does not work: ...
3answers
188 views

### 2D Random walk under specific boundary

I try to create the code so that from initial point (that I can set), code runs so that it performs random walk, yet it turns off once the point hits the wall. I tried this method however, I was not ...
0answers
45 views

### Simulation of aberration in axicon lens system [closed]

Is it possible to simulate axicon in mathematica and analyzed different properties like the aberration?
1answer
944 views

### Interstellar Image Effects

I'd like to know how to create this type of gravitational lensing effect in an image (here are some star fields from the hubble) "I wrote down the equations and I tested them in Mathematica by ...
1answer
523 views

### Best Mac for Mathematica [closed]

I am looking to buy a new Apple laptop or desktop for running Mathematica. What Mac is best, especially if I want to run numerical simulations in Mathematica? (A similar question was asked a few ...
0answers
62 views

### Evaluating a SeedRandom simulation

I have the following code it runs the model one time with 6000 iterations: ...