在Java中，如何在TextArea中使用多线程？我需要同步我的线程吗？

import javax.swing.*;
import java.awt.*;

public class TextAreaThreadExample extends JFrame {
    private JTextArea textArea;

    public TextAreaThreadExample() {
        setTitle("TextArea Thread Example");
        setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
        setSize(400, 300);

        textArea = new JTextArea();
        JScrollPane scrollPane = new JScrollPane(textArea);
        add(scrollPane, BorderLayout.CENTER);

        setVisible(true);

        // 创建并启动线程
        Thread thread = new Thread(new MyThread());
        thread.start();
    }

    private class MyThread implements Runnable {
        @Override
        public void run() {
            // 模拟耗时操作
            for (int i = 0; i < 10; i++) {
                try {
                    Thread.sleep(1000);
                } catch (InterruptedException e) {
                    e.printStackTrace();
                }

                final String message = "Message " + i + "\n";

                // 更新TextArea
                SwingUtilities.invokeLater(() -> textArea.append(message));
            }
        }
    }

    public static void main(String[] args) {
        new TextAreaThreadExample();
    }
}