How to save contents of a JTextArea to a file without the newline blocks?

Question

Hello everyone
I have created a GUI with a JTextArea and a button to save the contents of the JTextArea to a text file. I am working on a windows platform. Problem is that when saving the contents to the file, the newline block appears within the file ignoring the newline in the JTextArea.
Is there a way of saving these contents the way they appear in the JTextArea preserving the format they are displayed? I want to create a file that looks exactly the way my JTextArea looks like.
Up to the moment i am using the following code which produces a rather confusing file:
save.addActionListener(
                    new ActionListener() {
                         public void actionPerformed(ActionEvent e) {
                              String textCaptured = textArea.getText();
                              File file = new File("Log.txt");
                              try {
                                   BufferedWriter out = new BufferedWriter(new FileWriter(file));
                                   out.write(textCaptured);
                                   out.flush();
                                   out.close();
                              } catch (IOException e1) {
                                   // TODO Auto-generated catch block
                                   e1.printStackTrace();
                              finally{
                                   JOptionPane.showMessageDialog(null,"Your log file has been created");
          );Thank you all in advance
Christophoros

Answer 1

Thanks uncle_alice.
Your solution worked like a charm :)
Have a nice day
To anyone who might face similar problems heres the code:
File file = new File("Log.txt");
                              try {
                                   BufferedWriter out = new BufferedWriter(new FileWriter(file));
                                   textArea.write(out);
                                   out.flush();
                                   out.close();
                              } catch (IOException e1) {
                                   // TODO Auto-generated catch block
                                   e1.printStackTrace();