Leggere in textarea file di testo in reverse order

       filename = "Reverse.txt";
        file = new File(filename);
        try (final Stream<String> lines = Files.lines(Paths.get(filename))) {
            lines.collect(Collectors.toCollection(LinkedList::new))
            .descendingIterator()
            .forEachRemaining(jTextArea1:: append); // <<<< inserire "\n"
        }   
        catch (IOException ex) {                
            Logger.getLogger(TextAreaReverseReadFrame.class.getName()).log(Level.SEVERE, null, ex);
        }