Access Single JavaScript Object for multiple node.js files?

I've been trying to use a Single JavaScript object in multiple files. For that I chose singleton design pattern in JavaScript.

mySingleton.js

var mySingleton = (function () {
var instance;
function init() {
function privateMethod(){
    console.log( "I am private" );
}
var privateVariable = "Im also private";
var privateRandomNumber = Math.random();

return {

  publicProperty: "I am also public",
  publicMethod: function () {
    console.log( "The public can see me!" );
  },

  getRandomNumber: function() {
    return privateRandomNumber;
  }

  };

};

return { 

getInstance: function () {
  if ( !instance ) {
    instance = init();
    console.log("Newly creating an object");
  } 
  return instance;
} 
};
})();
module.exports = mySingleton;

And i'm Accessing the The above object in a separate node js file. As showed in following code

test.js

var singleton = require('./mySingleton');
var obj = singleton.getInstance();
console.log(obj.publicProperty);
console.log('random number value:'+obj.getRandomNumber());

test2.js

var singleton = require('./mySingleton');
var obj = singleton.getInstance();
console.log(obj.publicProperty);
console.log('random number value:'+obj.getRandomNumber());

When i execute the above two files each time a new javascript object is creating. But I want to use the same JavaScript object in multiple files.

Thanks in advance....

So Can anyone please give any suggestion to achieve the above functionality.