local anesthetics act by blocking activated Na channels (remember lidocaine which also is antiarrhythmic in the class IB). small fibers are blocked before large fibers and myelinated fibers are blocked before unmyelinated fibers. but remember that size prevail over myelinization (size matters LOL) so:
small myelinated > small unmyelinated > large myelinated > large unmyelinated
small myelinated fibers carry pain sensation so that's why it is lost first. pain>temperature>touch>vibration, I don't don't know if any of these senses correlates with the other fibers, if someone knows I'd appreciate clarification as well.