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Occupation-time statistics of a gas of interacting diffusing particles

Occupation-time statistics of a gas of interacting diffusing particles

The time that a diffusing particle spends in a certain region of space is known as the occupation time, or the residence time. Recently, the joint occupation-time statistics of an ensemble of noninteracting particles was addressed using the single-particle statistics. Here we employ the macroscopic fluctuation theory (MFT) to study …