Nonequilibrium mechanics and athermal fluctuations n cytoplasm

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We use truncated Lévy statistics model to investigate the non-equilibrium statistics and dynamics of active gel by analyzing the fluctuations of probe particles. The model incorporates both thermal and athermal fluctuations. A single myosin, which acts as a force dipole, in elastic actin network produced a displacement field proportional to 1/r2. We found out that the full displacement distribution of the athermal fluctuations of probe particles follows truncated Lévy distribution with a power law tail exponent 3/2. Sum action of multiple motor proteins, which drives the probe particle, only slowly converges to Gauss distribution because of the 1/r2 spatial decay of the motor impacts.