Phase-ordering kinetics of the liquid-liquid transition in single-component molecular liquids

2007 ◽  
Vol 126 (20) ◽  
pp. 204505 ◽  
Author(s):  
Rei Kurita ◽  
Hajime Tanaka
Keyword(s):  
Single Component ◽  
Molecular Liquids ◽  
Ordering Kinetics ◽  
Liquid Transition ◽  
Phase Ordering ◽  
Kinetics Of

scholarly journals Multifaceted phase ordering kinetics of an antiferromagnetic spin-1 condensate

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Joanna Pietraszewicz ◽  
Aleksandra Seweryn ◽  
Emilia Witkowska
Keyword(s):  
Scaling Laws ◽  
Study Phase ◽  
One Dimensional ◽  
Phase Domain ◽  
Ordering Kinetics ◽  
Domain Coarsening ◽  
Long Time ◽  
Phase Ordering ◽  
Kinetics Of ◽  
Antiferromagnetic Spin

AbstractWe study phase domain coarsening in the long time limit after a quench of magnetic field in a quasi one-dimensional spin-1 antiferromagnetic condensate. We observe that the growth of correlation length obeys scaling laws predicted by the two different models of phase ordering kinetics, namely the binary mixture and vector field. We derive regimes of clear realization for both of them. We demonstrate appearance of atypical scaling laws, which emerge in intermediate regions.

scholarly journals Phase ordering kinetics of the Bose gas

1996 ◽  
Vol 54 (6) ◽  
pp. 5037-5041 ◽  
Author(s):  
Kedar Damle ◽  
Satya N. Majumdar ◽  
Subir Sachdev
Keyword(s):  
Bose Gas ◽  
Ordering Kinetics ◽  
Phase Ordering ◽  
Kinetics Of

Phase-ordering kinetics of cemetery organization in ants

1998 ◽  
Vol 57 (4) ◽  
pp. 4568-4571 ◽  
Author(s):  
Eric Bonabeau ◽  
Guy Theraulaz ◽  
Vincent Fourcassié ◽  
Jean-Louis Deneubourg
Keyword(s):  
Ordering Kinetics ◽  
Phase Ordering ◽  
Kinetics Of

scholarly journals Phase ordering kinetics of the long-range Ising model

2019 ◽  
Vol 99 (1) ◽  
Author(s):  
Henrik Christiansen ◽  
Suman Majumder ◽  
Wolfhard Janke
Keyword(s):  
Ising Model ◽  
Long Range ◽  
Ordering Kinetics ◽  
Phase Ordering ◽  
Kinetics Of

scholarly journals Phase-ordering kinetics of one-dimensional nonconserved scalar systems

1994 ◽  
Vol 50 (3) ◽  
pp. 1900-1911 ◽  
Author(s):  
A. D. Rutenberg ◽  
A. J. Bray
Keyword(s):  
One Dimensional ◽  
Ordering Kinetics ◽  
Phase Ordering ◽  
Kinetics Of

scholarly journals Role of hydrodynamics in liquid–liquid transition of a single-component substance

2020 ◽  
Vol 117 (9) ◽  
pp. 4471-4479 ◽  
Author(s):  
Kyohei Takae ◽  
Hajime Tanaka
Keyword(s):  
Liquid State ◽  
Order Parameter ◽  
Theoretical Description ◽  
Single Component ◽  
Degree Of Freedom ◽  
Domain Growth ◽  
Liquid Transition ◽  
Characteristic Features ◽  
Phase Ordering ◽  
Liquid States

Liquid–liquid transition (LLT) is an unconventional transition between two liquid states in a single-component system. This phenomenon has recently attracted considerable attention not only because of its counterintuitive nature but also since it is crucial for our fundamental understanding of the liquid state. However, its physical understanding has remained elusive, particularly of the critical dynamics and phase-ordering kinetics. So far, the hydrodynamic degree of freedom, which is the most intrinsic kinetic feature of liquids, has been neglected in its theoretical description. Here we develop a Ginzburg–Landau-type kinetic theory of LLT taking it into account, based on a two-order parameter model. We examine slow critical fluctuations of the nonconserved order parameter coupled to the hydrodynamic degree of freedom in equilibrium. We also study the nonequilibrium process of LLT. We show both analytically and numerically that domain growth becomes faster (slower), depending upon the density decrease (increase) upon the transition, as a consequence of hydrodynamic flow induced by the density change. The coupling between nonconserved order parameter and hydrodynamic interaction results in anomalous domain growth in both nucleation-growth–type and spinodal-decomposition–type LLT. Our study highlights the characteristic features of hydrodynamic fluctuations and phase ordering during LLT under complex interplay among conserved and nonconserved order parameters and the hydrodynamic transport intrinsic to the liquid state.

scholarly journals Fractal character of the phase ordering kinetics of a diluted ferromagnet

2019 ◽  
Vol 2019 (4) ◽  
pp. 043203 ◽  
Author(s):  
Federico Corberi ◽  
Leticia F Cugliandolo ◽  
Ferdinando Insalata ◽  
Marco Picco
Keyword(s):  
Ordering Kinetics ◽  
Fractal Character ◽  
Phase Ordering ◽  
Kinetics Of
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