1{bold /}{omega} Flux Noise and Dynamical Critical Properties of Two-Dimensional {ital XY} Models

Journal Article · Wed Jan 01 00:00:00 EST 1997 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.78.519· OSTI ID:475285

Tiesinga, P; Hagenaars, T; van Himbergen, J ^[1]; Jose, J V ^[2]; Hagenaars, T ^[3]

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1. Instituut voor Theoretische Fysica, Princetonplein 5, Postbus 80006, 3508 TA Utrecht (The Netherlands)
2. Physics Department and Center for the Interdisciplinary Research on Complex Systems, Northeastern University, Boston, Massachusetts 02115 (United States)
3. Institut fuer Theoretische Physik, Universitaet Wuerzburg, Am Hubland, 97074 Wuerzburg (Germany)

We have numerically studied the dynamic correlation functions in thermodynamic equilibrium of two-dimensional O(2) symmetry models with either bond [resistively shunted Josephson (RSJ)] or site [time-dependent Ginsburg-Landau (TDGL)] dissipation as a function of temperature T. We find that above the critical temperature the frequency dependent flux noise S{sub {Phi}}({omega}){approximately}{vert_bar}1+( {omega}/{Omega}){sup 2}{vert_bar}{sup -{alpha} (T)/2}, with 0.85{le}{alpha}(TDGL)(T){le}0.95 and 1.17{le}{alpha}(RSJ)( T){le}1.27, while the dynamic critical exponents z(TDGL){approximately}2.0 and z(RSJ){approximately}0.9. Contrary to expectation the TDGL results are in closer agreement with the experiments in Josephson-junction arrays by Shaw {bold {ital et al.}}[Phys.Rev.Lett.{ital 76}, 2551 (1996)] than those from the RSJ model. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 475285
• Journal Information: Physical Review Letters, Vol. 78, Issue 3; Other Information: PBD: Jan 1997
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
SUPERCONDUCTIVITY
NOISE
CRYSTAL MODELS
MAGNETIC FLUX
GINZBURG-LANDAU THEORY
JOSEPHSON JUNCTIONS
DYNAMICS
CORRELATION FUNCTIONS