# Finite-temperature resistive transition in the two-dimensional XY gauge glass model

@article{Kim2000FinitetemperatureRT, title={Finite-temperature resistive transition in the two-dimensional XY gauge glass model}, author={Beom Jun Kim}, journal={Physical Review B}, year={2000}, volume={62}, pages={644-647} }

We investigate numerically the resistive transition in the two-dimensional $\mathrm{XY}$ gauge glass model. The resistively shunted junction dynamics subject to the fluctuating twist boundary condition is used and the linear resistances in the absence of an external current at various system sizes are computed. Through the use of the standard finite-size scaling method, the finite temperature resistive transition is found at ${k}_{B}{T}_{c}=0.22(2)$ (in units of the Josephson coupling strength…

## 15 Citations

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## References

Fundamentals of Statistical and Thermal Physics

- Education
- 1965

This book is designed for the junior-senior thermodynamics course given in all departments as a standard part of the curriculum. The book is devoted to a discussion of some of the basic physical…