Synchronization of oscillators with long-range power law interactions

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 82, Issue 1, 2010, Pages

  Chowdhury, Debanjan ^a,b   Cross, M C ^a  

^a California Institute of Technology   (United States)

^b INDIAN INSTITUTE OF TECHNOLOGY KANPUR   (India)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL CALCULATION; COARSE GRAINING; COUPLING STRENGTHS; CRITICAL VALUE; DIMENSIONAL PROBLEMS; FREQUENCY ENTRAINMENT; LARGE SYSTEM; NUMERICAL SIMULATION; ONE-DIMENSIONAL LATTICE; PHASE ORDERING; PHASE STATE; POWER LAW EXPONENT; POWER LAW INTERACTIONS; SPIN WAVE APPROXIMATION;

COMPUTER SIMULATION; SPIN DYNAMICS; SPIN WAVES;

SYNCHRONIZATION;

EID: 77954517934     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.82.016205     Document Type: Article

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16. The reconciliation of this result with the spin-wave calculations presumably lies in calculating the full distribution of θ i - θ j and finding tails of the distribution leading to some probability of values of order unity even for large K.