Work distribution of dust particle in glow discharge plasma

In the present work, a scheme is proposed to study the work distribution of dust particle confined in a time dependent harmonic potential in Argon DC glow discharge plasma. Dynamics of dust particle in plasma is a perfect example of stochastic system. The dust particle is brought from initial equilibrium condition to final non-equilibrium condition by varying the stiffness coefficient of the trapping sheath potential and it is studied using the overdamped Langevin equation. The various computation parameters such as mobility, temperature, dust particle response time, magnitude of confining sheath potential, etc are chosen to be in agreement with typical dusty plasma experimental conditions usual created in laboratories. The governing first order stochastic equation is computationally solved using Euler-Maruyama scheme. Parameters such as the mean squared deviation, position probability distribution and work distribution are obtained from the simulation. The non-Gaussian position and work distribution shows the non-equilibrium features of harmonically trapped dust particle in the sheath region of glow discharge plasma. Thus, the present work, demonstrates the capability and promising features of research in the field of non-equilibrium statistical physics of dusty plasma medium.