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<html>
<head>
<title>
ISING_3D_SIMULATION - Monte Carlo 3D Ising Model.
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
ISING_3D_SIMULATION <br> Monte Carlo 3D Ising Model
</h1>
<hr>
<p>
<b>ISING_3D_SIMULATION</b>
is a FORTRAN90 program which
carries out a Monte Carlo simulation of a 3D Ising model.
</p>
<p>
The text of this Ising model appeared as an example in the ANSI
FORTRAN90 standard in 1992. It is a nice presentation of how to use
certain features of FORTRAN90, and also demonstrates why one would like
to use these features - they make the Ising calculation very simple
to describe.
</p>
<h3 align = "center">
Usage:
</h3>
<p>
<blockquote>
<b>ising_3d_simulation</b> <i>n</i> <i>iterations</i>
</blockquote>
where
<ul>
<li>
<i>n</i> is the number of cells in each dimension. The total number of cells
will be <i>n</i><sup>3</sup>.
</li>
<li>
<i>iterations</i> is the number of iterations to take.
</li>
</ul>
Note that the user might also want to vary the transition probabilities.
This cannot currently be done on the command line, and requires editing
the program and recompiling it.
</p>
<h3 align = "center">
Licensing:
</h3>
<p>
The computer code and data files described and made available on this web page
are distributed under
<a href = "../../txt/gnu_lgpl.txt">the GNU LGPL license.</a>
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../f_src/brownian_motion_simulation/brownian_motion_simulation.html">
BROWNIAN_MOTION_SIMULATION</a>,
a FORTRAN90 program which
simulates Brownian motion in an M-dimensional region.
</p>
<p>
<a href = "../../f_src/duel_simulation/duel_simulation.html">
DUEL_SIMULATION</a>,
a FORTRAN90 program which
simulates N repetitions of a duel between two players, each of
whom has a known firing accuracy.
</p>
<p>
<a href = "../../f_src/f90_intrinsics/f90_intrinsics.html">
F90_INTRINSICS</a>,
FORTRAN90 programs which
illustrate the use of FORTRAN90 intrinsic functions.
</p>
<p>
<a href = "../../f_src/fair_dice_simulation/fair_dice_simulation.html">
FAIR_DICE_SIMULATION</a>,
a FORTRAN90 program which
simulates N tosses of 2 dice, making a histogram of the results.
</p>
<p>
<a href = "../../f_src/mandelbrot/mandelbrot.html">
MANDELBROT</a>,
a FORTRAN90 program which
generates an ASCII PPM image of the Mandelbrot set;
</p>
<p>
<a href = "../../f_src/poisson_simulation/poisson_simulation.html">
POISSON_SIMULATION</a>,
a FORTRAN90 library which
simulates a Poisson process in which events randomly occur with an
average waiting time of Lambda.
</p>
<p>
<a href = "../../f_src/reactor_simulation/reactor_simulation.html">
REACTOR_SIMULATION</a>,
a FORTRAN90 program which
is a simple Monte Carlo simulation of the shielding effect of a slab
of a certain thickness in front of a neutron source. This program was
provided as an example with the book "Numerical Methods and Software."
</p>
<p>
<a href = "../../f_src/three_body_simulation/three_body_simulation.html">
THREE_BODY_SIMULATION</a>,
a FORTRAN90 program which
simulates the behavior of three planets, constrained to lie in a plane,
and moving under the influence of gravity,
by Walter Gander and Jiri Hrebicek.
</p>
<p>
<a href = "../../c_src/xising/xising.html">
XISING</a>,
a C program which
simulates the variation in ferromagnetism in a material,
displaying the results using X Windows.
</p>
<h3 align = "center">
Reference:
</h3>
<p>
<ol>
<li>
American National Standard for Programming Language: Fortran - Extended,<br>
American National Standards Institute, 1992,<br>
pages 296-299.
</li>
</ol>
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "ising_3d_simulation.f90">ising_3d_simulation.f90</a>, the source code.
</li>
<li>
<a href = "ising_3d_simulation.sh">ising_3d_simulation.sh</a>,
commands to compile the source code.
</li>
</ul>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
<b>SMALL</b> is a run of a small (N=10) model for a short (ITERATIONS = 25)
number of iterations.
<ul>
<li>
<a href = "small_output.txt">small_output.txt</a>,
the output file.
</li>
</ul>
</p>
<h3 align = "center">
List of Routines:
</h3>
<p>
<ul>
<li>
<b>MAIN</b> is the main program for ISING_3D_SIMULATION.
</li>
<li>
<b>ISING_3D_INITIALIZE</b> initializes the Ising array.
</li>
<li>
<b>TRANSITION</b> carries out a Monte Carlo simulation of a 3D Ising model.
</li>
<li>
<b>S_TO_I4</b> reads an integer value from a string.
</li>
<li>
<b>TIMESTAMP</b> prints the current YMDHMS date as a time stamp.
</li>
</ul>
</p>
<p>
You can go up one level to <a href = "../f_src.html">
the FORTRAN90 source codes</a>.
</p>
<hr>
<i>
Last revised on 30 November 2007.
</i>
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