What role can JavaScript frameworks like jQuery play in facilitating server-to-server communication in PHP applications?

JavaScript frameworks like jQuery can be used to make AJAX requests from the client-side to the server, allowing for server-to-server communication in PHP applications. By using jQuery's AJAX functions, PHP scripts can be called asynchronously to fetch or send data without needing to reload the entire page. This can be useful for retrieving data from external APIs, updating database records, or performing other server-side actions without disrupting the user experience.

```php
// PHP script to handle AJAX request
if(isset($_POST['data'])){
    $data = $_POST['data'];
    
    // Perform server-side operations with the received data
    
    // Return a response to the client
    echo json_encode(['message' => 'Data processed successfully']);
}
```
This PHP script can be called from a jQuery AJAX request on the client-side to send data to the server and receive a response.