Session T44: Evolutionary and Ecological Systems

2:30 PM–5:42 PM, Wednesday, March 23, 2011
Room: A309

Sponsoring Unit: DBP
Chair: Ao Ping, Shanghai Jiaotong University, China

Abstract ID: BAPS.2011.MAR.T44.2

Abstract: T44.00002 : A Two-Species Social Dominance Model

2:42 PM–2:54 PM

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  Swapnil Jawkar
    (Department of Physics, Virginia Tech)

  Geoffrey Adams
    (Department of Neurobiology, Duke University)

  Uwe C. T\"auber
    (Department of Physics, Virginia Tech)

We study the general properties of a stochastic two-species social-domination model defined on a $d$-dimensional lattice. The introduction of spatial degrees of freedom and allowance of stochastic fluctuations surprisingly does not invalidate the deterministic mean-field picture. In the active state, where the dominant and submissive species coexist, no patch formation is observed, with correlation lengths restricted to a few lattice sites. Oscillations seen in the submissive population density are strongly damped and restricted to a small section of the parameter space. Observations are explained to be a result of the two-particle reactions being restricted to the same social group.

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