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Interactive dynamics controlling symmetry breaking in bidirectional transport systems with narrow entrances

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  • Sharma, Natasha
  • Midha, Tripti
  • Gupta, Arvind Kumar

Abstract

Long-range bidirectional transport depends on the collective motion of interacting particles and associations in the entrance and exit of several transport mediums. Motivated by these observations we analyze a bidirectional framework with a narrow entrance to explore the fundamental role of interactions on the system dynamics. The complex phenomena such as phase transitions and spontaneous symmetry breaking for variant attractive and repulsive interactions are examined within the structure of the mean-field theory and computer simulations. We examined the control of interactions on the symmetry breaking structure, in particular, its appearance/disappearance. It is observed that for a certain range of attraction and repulsion rates, the system exhibits both symmetric and asymmetric behavior, while for their higher values asymmetry disappears. The critical values of interaction strength, beyond which symmetrical and asymmetrical phases appear and disappear are identified and the phase transition lines for these phases have been obtained theoretically. Interestingly, it is found that the region of asymmetric phases exhibits non-monotonic behavior with increasing attractive interactions. The finite size effect and symmetry-breaking phenomenon based on the density distribution functions from Monte Carlo simulations have also been examined. Finally, the impact of correlation strength on the system behavior has been analyzed using two-point correlation function based on simulations.

Suggested Citation

  • Sharma, Natasha & Midha, Tripti & Gupta, Arvind Kumar, 2019. "Interactive dynamics controlling symmetry breaking in bidirectional transport systems with narrow entrances," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 514(C), pages 412-425.
    • Handle: RePEc:eee:phsmap:v:514:y:2019:i:c:p:412-425
    DOI: 10.1016/j.physa.2018.09.088
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    References listed on IDEAS

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    1. Kolomeisky, Anatoly B., 1997. "Exact solutions for a partially asymmetric exclusion model with two species," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 245(3), pages 523-533.
    2. Pronina, Ekaterina & Kolomeisky, Anatoly B., 2006. "Asymmetric coupling in two-channel simple exclusion processes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 372(1), pages 12-21.
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