Self-organized criticality with continuously varying exponents

Dhar, D. ; Thomas, P. B. (1993) Self-organized criticality with continuously varying exponents Europhysics Letters, 21 (9). pp. 965-970. ISSN 0295-5075

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We consider the hysteretic response of a system of two-dimensional planar spins in contact with a heat bath, to a uniform external magnetic field varying sinusoidally in time. The temperature is below the Kosterlitz-Thouless transition temperature TKT. We show that for small H0 and ω, the area of the hysteresis loop scales as (H0ω)α, where H0 is the amplitude and ω the frequency of the external field, and α is an exponent which varies continuously from ½ to 16/31, as the temperature increases from zero to TKT. This is an example of a driven dissipative system which shows self-organized criticality with continuously varying exponents.

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