arXiv subjects

Vivek Aji

Publications and source records attributed to Vivek Aji.

39 records · Page 3Linked to original sources

arXiv2002

Reply to Comment on "Critical Dynamics of a Vortex-Loop Model for the Superconducting Transition"

This is a response to the comment by J. Lidmar on our work in Phys. Rev. Lett. 87, 197003 (2001), cond-mat/0105622. We show explicitly that, contrary to the statements in the comment, our scaling analysis correctly reproduces the Josephson scaling relation and other known theoretical results, and explains the surprising results of dynamic Monte Carlo simulations in 3D for the vortex loop model. Our explanation, being based on identifying the correct relationship between real and Monte Carlo time, is not relevant for static Monte Carlo simulations, whose results do not need correction.

cond-mat.supr-con↗

arXiv2001

Critical Dynamics of a Vortex Loop Model for the Superconducting Transition

We calculate analytically the dynamic critical exponent $z_{MC}$ measured in Monte Carlo simulations for a vortex loop model of the superconducting transition, and account for the simulation results. In the weak screening limit, where magnetic fluctuations are neglected, the dynamic exponent is found to be $z_{MC} = 3/2$. In the perfect screening limit, $z_{MC} = 5/2$. We relate $z_{MC}$ to the actual value of $z$ observable in experiments and find that $z \sim 2$, consistent with some experimental results.

cond-mat.supr-con↗

arXiv2000

Fluctuations in finite critical and turbulent systems

We show that hyperscaling and finite-size scaling imply that the probability distribution of the order parameter in finite size critical systems exhibit data collapse. We consider the examples of equilibrium critical systems, and a statistical model of ecology. We explain recent observations that the probability distribution of turbulent power fluctuations in closed flows is the same as that of the harmonic 2DXY model.

cond-mat.stat-mech↗