There is the "second death" but that is at Judgment.
I specify because Penal Substitution Theory focuses on Jesus experiencing a spiritual death rather than a physical death. That is why
@Steve Owen insists Jesus experienced three hours of what the lost will experience in Hell (which he attributes to spiritual death).
In the Bible the focus is physical death (the "second death" is Christ-centered judgment and not a part of the "sin problem" remedied at the cross by definition, but rather the product of the Cross as all judgment is given the Son).