1) Legal second marriage 
• (n.) Act, or state, of being twice married; deuterogamy.
Dig'a·my noun [ Greek ... a second marriage; 
Digamy is the state of having married again after the death or divorce of the first spouse, as distinguished from bigamy where the individual is still married to the first spouse when the second marriage takes place.
digamy, digamous A second marriage; re-marriage after the death or divorce of the first spouse.
a second marriage, after the death or divorce of the first husband or wife; deuterogamy. Cf. monogamy (def. 3).