使用jQuery刷新div

是否可以使用jQuery刷新单个div？我有一个注销用户的按钮。单击按钮后，我想显示登录表单，所以我需要重新解析这个div。

Is it possible to refresh a single div with jQuery? I have a button that does logout a user. After the button is clicked, I want to show the login form, so I need to re-parse this div.

我的div的内容是：

<div id="signup" class="register">

    <?php
        $email = $_COOKIE['email'];
        $login = $_COOKIE['login'];

        if($email != null && $email != "" && $login != null && $login != "") {
            echo "<h3>you are logged in as <b>$email</b></h3><br><br><button id='logoutbtn' class='submitButton'>Logout</button>";
        } else {
            // show login form
        }
    ?>

</div>

这是我执行注销的JavaScript部分：

This is my JavaScript part where I perform the logout:

$('#logoutbtn').click(function () {    
    $.ajax({  
        type: "POST",  
        url: "php/logout.php",  
        async: false,
        success: function(data){
            // reload signup div
        } 
    });  
});

编辑：我的logout.php脚本删除了cookie，这就是我需要重新解析注册的原因-div。

My logout.php script removes the cookies, that's why I need to re-parse the signup-div.