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We study the effects of a static and uniform magnetic field on the evolution
of energy density fluctuations present in a medium. By numerically solving the
relativistic Boltzmann-Vlasov equation within the relaxation time
approximation, we explicitly show that magnetic field can affect the
characteristics of energy density fluctuations at the timescale the system
achieves local thermodynamic equilibrium. A detailed momentum mode analysis of
fluctuations reveals that magnetic field increases the damping of mode
oscillations, especially for the low momentum modes. This leads to a reduction
in the ultraviolet (high momentum) cutoff of fluctuations and also slows down
the dissipation of relatively low momentum fluctuation modes. We discuss the
phenomenological implications of our study on various sources of fluctuations
in relativistic heavy-ion collisions.
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