As such the answer 'I don't know' is more appropriate than anything else.
But for an answer to give---
Fate of universe depends upon many aspects - but mainly the density of the universe. There is a critical density of the universe which is not enough to produce gravitational effect to stop expansion and nor that weak to keep the universe to expand at an increasing rate. This can be more clearly understood with help of 4-d diagrammatic representation of the expansion(or contraction). When it is critical, the diagram is flat with no net curvature. When the density is less CD(Critical Density), there is a saddle shaped diagram which represents vigorously increasing rate of expansion. When density is greater than CD, there is a contraction.
Now, apart from baryonic matter, mysterious dark matter and dark energy come into effect. All these, at this moment, is making the universe accelerating, as we all know. Till now, expectations are towards forming a 'rip', or violent expansion of universe where even atoms will be torn away in distant future.
Concept of second Big Bang is still far from our views, but quoting Stephen Hawking --- "God not only plays dice but also casts it where no one can see" --- Let nature do what she wants.
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