Custom query

Hello,
is it possible to working with a custom search?
Im doing an ajax live search, so result are showed by javascript, non in search result page.
This is my query:

$args = array(
        'orderby' => 'title',
        'order' => 'ASC',
        'tax_query' => array(
            array(
                'taxonomy' => 'faculty_list',
                'field' => 'term_id',
                'terms' => $term_id,
            )
        ),
        's' => $search
    );

Thanks