Abstract:
The present study proposes a generalized mean-field approach to examine the significant effect of the
finite supply of particles on multi-lane coupled system with non-conserving dynamics. The steadystate behavior is analyzed by exploring vital characteristics such as phase diagrams, density profiles,
residence time and power spectra. Despite the fully asymmetrical coupling environment, symmetrical
phases are identified along with asymmetrical phases. The emergence of shock results in the breaking
of symmetry prevailing among the lanes for a critical value of the total number of particles in the
system. Additionally, bulk induced phase transition results in the shifting from low density to high
density regime. As expected, jamming length increases with increase in the total number of particles in
the system. Particles follow the pseudo-Gaussian distribution with decreasing variance exhibiting the
significant effect of limited resources on the system properties. For the lower values of the total
number of particles, the current initially increases and then saturate beyond its critical value. Through
power spectra damped oscillations are observed in the particles occupancy in one of the lanes while
other lane and reservoir show undamped profile with non-conserving dynamics in the bulk
