68 citations · 153 across the 12 of their papers we have counts for
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cond-mat.stat-mech2013★ 15 cited
Non-mean-field Critical Exponent in a Mean-field Model : Dynamics versus Statistical Mechanics
Shun Ogawa, Aurelio Patelli, Yoshiyuki Y. Yamaguchi
The mean-field theory tells that the classical critical exponent of susceptibility is the twice of that of magnetization. However, the linear response theory based on the Vlasov eq…
cond-mat.stat-mech2013★ 17 cited
Spectral and formal stability criteria of spatially inhomogeneous stationary solutions to the Vlasov equation for the Hamiltonian mean-field model
Shun Ogawa
Stability of spatially inhomogeneous solutions to the Vlasov equation is investigated for the Hamiltonian mean-field model to provide the spectral stability criterion and the forma…