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Evidence of two distinct dynamic critical exponents in connection with vortex physics
P Minnhagen1, B J Kim, H Weber
1Department of Theoretical Physics, Umeå University, 901 87 Umeå, Sweden.
Abstract:
The dynamic critical exponent z is determined from numerical simulations for the three-dimensional (3D) lattice Coulomb gas (LCG) and the 3D XY models with relaxational dynamics. It is suggested that the dynamics is characterized by two distinct dynamic critical indices z0 and z related to the divergence of the relaxation time tau by tau proportional to xi(z0) and tau proportional to k(-z), where xi is the correlation length and k the wave vector. The values determined are z0 approximately 1.5 and z approximately 1 for the 3D LCG and z0 approximately 1.5 and z approximately 2 for the 3D XY model. Comparisons with other results are discussed.