Rough or crumpled: Strong coupling phases of a generalized Kardar-Parisi-Zhang surface.

We study a generalized Kardar-Parisi-Zhang (KPZ) equation [Jana et al., Phys. Rev. E 109, L032104 (2024)2470-004510.1103/PhysRevE.109.L032104] that sets the paradigm for universality in roughening of growing nonequilibrium surfaces without any conservation laws but with competing local and nonlocal nonlinear effects. This equation in two dimensions exhibits two distinct strong coupling regimes: a rough phase and a crumpled phase, in addition to a weak coupling phase. The conformation fluctuations of such a rough surface are given by nonuniversal scaling exponents, with orientational long-range order and positional short-range order, whereas the crumpled phase has positional and orientational short-range order.

• Publication year

  2024

• Venue

  Physical Review E

• Publication date

  2024-11-22

• Fields of study

  Medicine, Physics

• Identifiers
  DOI 10.1103/4t33-h54marXiv 2411.15026PMID 40826527
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

• Kardar-Parisi-Zhang growth in ɛ dimensions and beyond.

  2025cited by this paper
• Logarithmic or algebraic: Roughening of an active Kardar-Parisi-Zhang surface.

  2023influential reference
• Rough or crumpled: Phases in kinetic growth with surface relaxation.

  2022cited by this paper
• Statistical mechanics of phase transitions in elastic media with vanishing thermal expansion.

  2021cited by this paper
• The Kardar-Parisi-Zhang exponents for the 2+1 dimensions

  2020cited by this paper
• Statistical mechanics of asymmetric tethered membranes: Spiral and crumpled phases.

  2019cited by this paper
• Eden model with nonlocal growth rules and kinetic roughening in biological systems.

  2018cited by this paper
• Dynamical universality classes of simple growth and lattice gas models

  2017cited by this paper
• Numerical estimate of the Kardar-Parisi-Zhang universality class in (2+1) dimensions.

  2015cited by this paper
• A KPZ Cocktail-Shaken, not Stirred...

  2015cited by this paper
• Critical Dynamics: Near-equilibrium critical dynamics

  2014influential reference
• Universality of fluctuations in the Kardar-Parisi-Zhang class in high dimensions and its upper critical dimension.

  2014cited by this paper
• Extremal paths, the stochastic heat equation, and the three-dimensional Kardar-Parisi-Zhang universality class.

  2013cited by this paper
• Restricted solid-on-solid model with a proper restriction parameter N in 4+1 dimensions.

  2013cited by this paper
• Multisurface coding simulations of the restricted solid-on-solid model in four dimensions.

  2012cited by this paper
• Nonperturbative renormalization group for the Kardar-Parisi-Zhang equation: general framework and first applications.

  2011cited by this paper
• General framework of the non-perturbative renormalization group for non-equilibrium steady states

  2011cited by this paper
• Upper critical dimension of the Kardar-Parisi-Zhang equation.

  2011influential reference
• Scaling and universality in coupled driven diffusive models

  2009cited by this paper
• Unstable nonlocal interface dynamics.

  2009cited by this paper
• Nonperturbative renormalization group for the Kardar-Parisi-Zhang equation.

  2009cited by this paper
• Nonlinear dynamics near and far from equilibrium

  2007cited by this paper
• Universality classes of the Kardar-Parisi-Zhang equation.

  2006cited by this paper
• Universal properties of three-dimensional magnetohydrodynamic turbulence: do Alfvén waves matter?

  2005cited by this paper
• Statistical mechanics of membranes and surfaces

  2004cited by this paper
• Localized growth modes, dynamic textures, and upper critical dimension for the Kardar-Parisi-Zhang equation in the weak-noise limit.

  2004cited by this paper
• Novel universality classes of coupled driven diffusive systems.

  2003cited by this paper
• Statistical properties of driven magnetohydrodynamic turbulence in three dimensions: Novel universality

  2003cited by this paper
• Upper critical dimension, dynamic exponent, and scaling functions in the mode-coupling theory for the Kardar-Parisi-Zhang equation.

  2000cited by this paper
• Coupled nonequilibrium growth equations: self-consistent mode coupling using vertex renormalization

  1999cited by this paper
• Exact results for the Kardar-Parisi-Zhang equation with spatially correlated noise

  1998cited by this paper
• Multiscaling in Models of Magnetohydrodynamic Turbulence

  1997cited by this paper
• Origins of scale invariance in growth processes

  1997cited by this paper
• Growth of correlated pore-scale structures in sedimentary rocks: A dynamical model

  1996cited by this paper
• Fractal Concepts in Surface Growth

  1996influential reference
• Absence of finite upper critical dimension in the spherical Kardar-Parisi-Zhang model.

  1994cited by this paper
• Generalizations of the Kardar-Parisi-Zhang equation.

  1994cited by this paper
• Self-consistent approach to the Kardar-Parisi-Zhang equation.

  1993cited by this paper
• Kinetic roughening of Laplacian fronts.

  1991cited by this paper
• Exact scaling function of interface growth dynamics.

  1991cited by this paper
• Disorder-induced roughening of diverse manifolds.

  1990cited by this paper
• Renormalization group analysis of turbulence. I. Basic theory

  1986cited by this paper
• Dynamic scaling of growing interfaces.

  1986cited by this paper
• The surface statistics of a granular aggregate

  1982cited by this paper
• Large-distance and long-time properties of a randomly stirred fluid

  1977cited by this paper
• Renormalized field theory of critical dynamics

  1976cited by this paper

• Anisotropy can make a moving active fluid membrane rough or crumpled

  2025cites this paper
• Reduced fluctuations: Surprising effects of noise cross correlations in a coupled, driven model

  2025cites this paper
• Strong coupling phases of conserved growth models are crumpled

  2025cites this paper