In a large glass baking dish, mix the fish sauce with the lime juice, lime zest, oil, garlic, chile, brown sugar and pepper. Add the pork chops and turn to coat. Refrigerate for 2 hours, turning the chops after 1 hour.
Light a grill or preheat a grill pan. Remove the pork chops from the marinade and scrape off the garlic and chiles. Grill the pork chops over moderately high heat, turning once, until charred in spots and just cooked through, about 8 minutes. Transfer the chops to plates and serve.