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We propose a new scenario of nonequilibirum multiverse. We quantified thepotential landscape and the flux landscape for the Bousso-Polchinski type ofmultiverse. The potential landscape quantifies the weight of each universe.When the terminal vacuum with zero (flat) or negative cosmological constant(AdS) have a chance to tunnel back to the normal universes with positivecosmological constant (dS) through the bounce suggested by the recent studies,the detailed balance of the populations of the multiverse can be broken. Wefound that the degree of the detailed balance breaking can be quantified by theunderlying average flux and associated flux landscape, which gives arise to thedynamical origin of irreversibility and the arrow of time. We also showed thatthe steady state of the multiverse is maintained by the thermodynamic costquantified by the entropy production rate which is associated to the flux. Thisgives arise to thermodynamic origin of time irreversibility. We show thatterminal vacuum universes can have dominant weights or lowest potentials givingarise to a funnel shaped potential landscape, while terminal vacuum universestogether with other normal universes including ours can form dominant cyclesgiving arise to a funnel shaped cycle flux landscape. This indicates that evenour universe may not be distinct from others based on the probability measure,it may lie in the dominant cycle(s), leading to higher chance of being found.This may provide an additional way beyond the anthropological principle foridentifying our universe.

Quantifying the potential and flux landscapes for nonequilibrium multiverse, a new scenario for time arrow