Every subatomic particle which interact with the 3 quantum interactions has a cloud of virtual particles.
How big is that cloud and where is its density bigger?
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Please read my answer here that defines virtual particles as the term is used in particle physics. The range of interactions depends on the force and is seen here.
In general quantum effects are probabilistic, what is shown is the range where the probability to see an interaction with our present experimental accuracies is non zero for the three forces. For gravity, once it is quantized , the range of two particles interacting is infinite.
The cloud you envisage is a mathematical cloud. There is a probability for an interaction, given by the wave function describing it, and it depends on the boundary conditions of the specific problem which will give where there is a high probability.
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