I am new to Angular.js and am trying to create dynamic scope variables in AngularJs inside a for Loop. This is something as below:
$scope.lists=[{listName:'list1'},{listName:'list2'}];
for(var i=0;i<$scope.lists.length;i++){
  var listName = $scope.lists[i].listName;
  listName = $parse(listName);
  listName.assign($scope,[]);
  $scope.$apply();
}
The above code throws an error saying: $digest already in progress. 
The code works ok when used without looping just for one as done in: Setting dynamic scope variables in AngularJs - scope.<some_string>
I ultimately am looking for $scope.list1=[] and $scope.list2=[] as 2 separate arrays. 
Any leads would be awesome. Thanks.
The above code throws an error saying: $digest already in progress.
You're already in the controller and in angular scope. So no need to trigger the digest loop using $scope.$apply(). Even if you have to must check the $$phase and then apply.
if (!$scope.$$phase) $scope.$apply()
But for your scenario, it's not required at all
$scope.lists = [{listName: 'list1'}, {listName: 'list2'}];
angular.forEach($scope.lists, function(item) {
    var listName = item.listName;
    $scope[listName] = [];
});
                        You don't need $parse and assign here, just use bracket notation to access object property (because $scope is nothing but just an object) with variable name:
$scope.lists = [{listName: 'list1'}, {listName: 'list2'}];
for (var i = 0; i < $scope.lists.length; i++) {
    var listName = $scope.lists[i].listName;
    $scope[listName] = [];
}
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