Create a different sidebar, how?

you can either add another widget to that sidebar, or register another sidebar in your functions.php
This is how to register sidebar:

//Widget-enabled sidebar
if ( function_exists('register_sidebar') )
    register_sidebar(array('name'=>'sidebar1',
        'before_widget' => '<div class="sidebar1">',
        'after_widget' => '</div>',
        'before_title' => '<div class="title">',
        'after_title' => '</div>',
    ));

and this is what should be in your sidebar.php

<div class="sidebar">
<?php if ( !function_exists('dynamic_sidebar')
|| !dynamic_sidebar('sidebar1') ) : ?>
<?php endif; ?>
</div>

and you call it in your page.php, single.php, or wherever you want it

<?php get_sidebar()?>