simulations/ising_model2.html at master · EmmaPoliakova/simulations · GitHub

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<!-- Author: Emma Poliakova 2020 -->
<!-- Ising model cellular automata simulation using html canvas -->
<!DOCTYPE html>
<html>
    <head>
        <script src='https://cdn.plot.ly/plotly-latest.min.js'></script>
        <link rel="stylesheet" type="text/css" href="style.css">
        <style>
            .column {
                float: left;
                width: 515px;
            }

            .row:after {
                content: "";
                display: table;
                clear: both;
                    }
        </style>
    </head>

    <body onload='draw()'>
    <div class="row1">
        <div class="column">
        <div>
            <canvas id='canvas' width='505' height='505'></canvas>
        </div>

        <div id=buttons>
            <button class="button" id="start" onclick="setUp()">Set Up</button>
            <button class="button" id="play" onclick="play()">Play</button>
            <button class="button" id="stop" onclick="stop()">Stop</button>
            <button class="button" id="step" onclick="step()">Step</button>
        </div>
        <div class="slidecontainer">
            <p>Temperature: <span id="temperature"></span></p>
            <input type="range" min="0" max="500" value="0" class="slider" id="myRange">
        </div>
        </div>

        <div class="column">
              <div id='ising_plot'></div>
              <div id='ising_plot2'></div>
          </div>
    </div>

    <script>
        var canvas = document.getElementById('canvas');
        var context = canvas.getContext('2d');
        var size = 202;
        var length = 201;
        var square_size = 2.5;
        var cells = createArray(size, size);
        var game;
        var T = 0;
        var x = 0;
        var spin_min = 0;
        var spin_plus = 0;
        var counter = 1;
        var iter_count = [];

        var slider = document.getElementById("myRange");
        var output = document.getElementById("temperature");
        output.innerHTML = slider.value;
        slider.oninput = function() {
            output.innerHTML = this.value/100;
            T = this.value/100;}

       // canvas frame and initial set up
       function draw() {
            if (canvas.getContext) {
                var context = canvas.getContext('2d');
                context.strokeStyle='black';


                context.moveTo(square_size, canvas.width-square_size);
                context.lineTo(canvas.width-square_size, canvas.width-square_size);


                context.moveTo(canvas.width-square_size, square_size);
                context.lineTo(canvas.width-square_size, canvas.width-square_size);


                context.moveTo(square_size, square_size);
                context.lineTo(canvas.width-square_size, square_size);


                context.moveTo(square_size, square_size);
                context.lineTo(square_size,canvas.width-square_size);
                context.stroke();

                setUp();
                drawGraph();
                }

            }

        // create n x n array
        function createArray(length) {
            var arr = new Array(length || 0),
            i = length;

            if (arguments.length > 1) {
                var args = Array.prototype.slice.call(arguments, 1);
                while(i--) arr[length-1 - i] = createArray.apply(this, args);
            }

            return arr;
        }

        // generate and draw cells with +1 or -1 spin
        function setUp(){
            var spin;
            for (var i=0 ;i<size; i+=1) {
                cells[i][0] = 0;
                cells[i][length] = 0;
            }

            for (var j=0 ; j<size; j+=1) {
                cells[0][j] = 0;
                cells[length][j] = 0;
            }

            for (var i=1 ; i<length; i+=1) {
                for (var j=1 ;j<length; j+=1) {
                    spin = Math.floor(Math.random() * 2);
                    if (spin == 0){
                         spin_min = spin_min + 1;
                         cells[i][j] = -1;
                         context.beginPath();
                         context.fillStyle = "#40ade8";
                         context.fillRect(i*square_size, j*square_size, square_size, square_size); }

                    else {
                         spin_plus = spin_plus + 1;
                         cells[i][j] = 1;
                         context.beginPath();
                         context.fillStyle = "white";
                         context.fillRect(i*square_size, j*square_size, square_size, square_size);
                         }
                }
            }
            drawGraph(spin_plus, spin_min);
        }

        // calculate energy for all cells in the array and draw new spins
        function step(){
            spin_plus = 0;
            spin_min = 0;
            iter_count.push(counter);
            counter = counter + 1;
            for (var i=1 ; i<length; i+=1) {
                for (var j=1 ;j<length; j+=1) {
                    var E = -1*cells[i][j]*(cells[i-1][j] + cells[i+1][j] + cells[i][j-1] + cells[i][j+1]);
                    if (E>0){
                        cells[i][j] = -1 * cells[i][j];}
                    else {
                        var r = Math.floor(Math.random() * 1000)/1000;
                        if (r < Math.pow(Math.E, (2*E/T))){
                            cells[i][j] = -1 * cells[i][j];}
                           }
                    }
                }

            for (var i=1 ; i<length; i+=1) {
                for (var j=1 ;j<length; j+=1) {

                    if (cells[i][j]  == -1){
                         spin_min = spin_min + 1;
                         context.beginPath();
                         context.fillStyle = "#40ade8";
                         context.fillRect(i*square_size, j*square_size, square_size, square_size); }

                    else {
                         spin_plus = spin_plus + 1;
                         context.beginPath();
                         context.fillStyle = "white";
                         context.fillRect(i*square_size, j*square_size, square_size, square_size);}
                        }
                    }

             //Plotly.extendTraces(ising_plot, {x : [[spin_plus]], y: [[spin_min]]}, [0])
             Plotly.extendTraces(ising_plot2, {y: [[spin_plus], [spin_min]]}, [0, 1])

        }

        function drawGraph(x, y){
            /**var trace1 = {
                x: [x],
                y: [y],
                type: 'scatter',
                name: 'Spin',
                line: {
                color: 'blue'}
            };

            var layout = {
            height: 350,
            width: 430,
            title: 'Ratio of the two states',
            xaxis: {
             title: 'Positive state +1',
                 },
            yaxis: {
             title: 'Negative state -1',
                }
                };
                */

            var trace2 = {
                x: iter_count,
                y: [y],
                type: 'scatter',
                name: 'State +1',
                line: {
                color: '#adadad'}
            };

            var trace3 = {
                x: iter_count,
                y: [y],
                type: 'scatter',
                name: 'State -1',
                line: {
                color: 'blue'}
            };

            var layout2 = {
            height: 350,
            width: 430,
            title: 'Comparison of the two states',
            xaxis: {
             title: 'Time steps',
                 },
            yaxis: {
             title: 'Number of cells',
                }
                };

              //Plotly.newPlot('ising_plot', [trace1], layout);
              Plotly.newPlot('ising_plot2', [trace2, trace3], layout2);
            };

        function play(){
            game = setInterval(step, 150);
            }

        function stop(){
            clearInterval(game);
        }

    </script>
    </body>
</html>