Landau like theory for universality of critical exponents in quasistatioary states of isolated mean-field systems

Abstract : An external force dynamically drives an isolated mean-field Hamiltonian system to a long-lasting quasistationary state, whose lifetime increases with population of the system. For second order phase transitions in quasistationary states, two non-classical critical exponents have been reported individually by using a linear and a nonlinear response theories in a toy model. We provide a simple way to compute the critical exponents all at once, which is an analog of the Landau theory. The present theory extends universality class of the non-classical exponents to spatially periodic one-dimensional systems, and shows that the exponents satisfy a classical scaling relation inevitably by using a key scaling of momentum.
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Submitted on : Monday, February 1, 2016 - 3:59:25 PM
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Shun Ogawa, Yoshiyuki Y. Yamaguchi. Landau like theory for universality of critical exponents in quasistatioary states of isolated mean-field systems. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 2015, 91 (6), pp.062108 ⟨10.1103/PhysRevE.91.062108⟩. ⟨hal-01265829⟩

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