Effective field theory of fluctuating wall in open systems: from a kink in Josephson junction to general domain wall
arXiv:2109.10335 · doi:10.21468/SciPostPhys.12.5.160
Abstract
We investigate macroscopic behaviors of fluctuating domain walls in nonequilibrium open systems with the help of the effective field theory based on symmetry. Since the domain wall in open systems breaks the translational symmetry, there appears a gapless excitation identified as the Nambu-Goldstone (NG) mode, which shows the non-propagating diffusive behavior in contrast to those in closed systems. After demonstrating the presence of the diffusive NG mode in the -dimensional dissipative Josephson junction, we provide a symmetry-based general analysis for open systems breaking the one-dimensional translational symmetry. A general effective Lagrangian is constructed based on the Schwinger-Keldysh formalism, which supports the presence of the gapless diffusion mode in the fluctuation spectrum in the thin wall regime. Besides, we also identify a term peculiar to the open system, which possibly leads to the instability in the thick-wall regime or the nonlinear Kardar-Parisi-Zhang coupling in the thin-wall regime although it is absent in the Josephson junction.
41 pages, 5 figures, Submission to SciPost
References in corpus (8)
- Microscopic approach to current-driven domain wall dynamics
- Growing interfaces uncover universal fluctuations behind scale invariance
- An exact solution for the KPZ equation with flat initial conditions
- Skyrmion Lattice in Two-Dimensional Chiral Magnet
- Evidence for geometry-dependent universal fluctuations of the Kardar-Parisi-Zhang interfaces in liquid-crystal turbulence
- Nambu-Goldstone Modes Propagating along Topological Defects: Kelvin and Ripple Modes from Small to Large Systems
- Effective Lagrangians for quantum many-body systems
- Nambu-Goldstone modes in non-equilibrium systems from AdS/CFT correspondence