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19962026
most citedDeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators

3.4k citations

Showing 1999Show all

6 papers · 1 filter

cond-mat.supr-con1999

Flux Lattice Melting and the onset of H_c2 fluctuations

Stephen W. Pierson, Oriol T. Valls

The flux lattice melting temperature in optimally doped YBCO has been shown to be very close to that of the onset of fluctuations around H_{c2}(T). Here, we present a theoretical a…

cond-mat.supr-con1999★ 4 cited

Dynamic scaling of I-V data for the neutral 2D Coulomb gas

Stephen W. Pierson, Mark Friesen

The value of the dynamic critical exponent z has been studied for experimental two-dimensional superconducting and Josephson Junction array systems in zero magnetic field via the F…

chao-dyn1999★ 74 cited

Self-organization in nonlinear wave turbulence

Richard Jordan, Christophe Josserand

We present a statistical equilibrium model of self-organization in a class of focusing, nonintegrable nonlinear Schrodinger (NLS) equations. The theory predicts that the asymptotic…

chao-dyn1999★ 50 cited

A Mean-field statistical theory for the nonlinear Schrodinger equation

Richard Jordan, Bruce Turkington, Craig Zirbel

A statistical model of self-organization in a generic class of one-dimensional nonlinear Schrodinger (NLS) equations on a bounded interval is developed. The main prediction of this…

cond-mat.supr-con1999★ 50 cited

Dynamic scaling for 2D superconductors, Josephson junction arrays and superfluids

S. W. Pierson, M. Friesen, S. M. Ammirata +2

The value of the dynamic critical exponent is studied for two-dimensional superconducting, superfluid, and Josephson Junction array systems in zero magnetic field via the Fishe…

cond-mat.supr-con1999★ 18 cited

Renormalization Group Study of the Intrinsic Finite Size Effect in 2D Superconductors

Stephen W. Pierson, Oriol T. Valls

Vortices in a thin-film superconductor interact logarithmically out to a distance on the order of the two-dimensional (2D) magnetic penetration depth , at which point the…