skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Dynamic scaling for the growth of non-equilibrium fluctuations during thermophoretic diffusion in microgravity

Journal Article · · Scientific Reports
DOI:https://doi.org/10.1038/srep14486· OSTI ID:1441145
 [1];  [2];  [2];  [3]
  1. Univ. degli Studi di Milano (Italy). Dipartimento di Biotecnologie Mediche e Medicina Traslazionale
  2. New York Univ., New York, NY (United States). Courant Inst. of Mathematical Sciences
  3. Univ. degli Studi di Milano (Italy). Dipartimento di Fisica

Diffusion processes are widespread in biological and chemical systems, where they play a fundamental role in the exchange of substances at the cellular level and in determining the rate of chemical reactions. Recently, the classical picture that portrays diffusion as random uncorrelated motion of molecules has been revised, when it was shown that giant non-equilibrium fluctuations develop during diffusion processes. Under microgravity conditions and at steady-state, non-equilibrium fluctuations exhibit scale invariance and their size is only limited by the boundaries of the system. Here in this work, we investigate the onset of non-equilibrium concentration fluctuations induced by thermophoretic diffusion in microgravity, a regime not accessible to analytical calculations but of great relevance for the understanding of several natural and technological processes. A combination of state of the art simulations and experiments allows us to attain a fully quantitative description of the development of fluctuations during transient diffusion in microgravity. Both experiments and simulations show that during the onset the fluctuations exhibit scale invariance at large wave vectors. In a broader range of wave vectors simulations predict a spinodal-like growth of fluctuations, where the amplitude and length-scale of the dominant mode are determined by the thickness of the diffuse layer.

Research Organization:
New York Univ. (NYU), NY (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
SC0008271
OSTI ID:
1441145
Journal Information:
Scientific Reports, Vol. 5, Issue 1; ISSN 2045-2322
Publisher:
Nature Publishing GroupCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 28 works
Citation information provided by
Web of Science

References (44)

Computer Simulation of the Time Evolution of a Quenched Model Alloy in the Nucleation Region journal July 1979
An adaptive, formally second order accurate version of the immersed boundary method journal April 2007
Fractal fronts of diffusion in microgravity journal April 2011
Thermally Induced Fluctuations below the Onset of Rayleigh-Bénard Convection journal August 1995
Theory for the Slowing Down of the Relaxation and Spinodal Decomposition of Binary Mixtures journal October 1974
Macromolecular crystallization in microgravity journal March 2005
Gradient-driven fluctuations experiment: fluid fluctuations in microgravity journal January 2006
A dynamic scaling assumption for phase separation journal January 1985
Can phoretic motions be treated as interfacial tension gradient driven phenomena? journal September 1981
Nonequilibrium fluctuations in the Rayleigh-Bénard problem for binary fluid mixtures journal November 2004
Staggered Schemes for Fluctuating Hydrodynamics journal January 2012
Critical Point in Space: A Quest for Universality journal July 2014
Generic scale invariance and self-organized criticality book January 1995
Non-equilibrium concentration fluctuations in binary liquids with realistic boundary conditions journal September 2015
Schlieren and Shadowgraph Techniques book January 2001
The IVIDIL experiment onboard the ISS: Thermodiffusion in the presence of controlled vibrations journal May 2011
Protein crystal growth in microgravity journal November 1989
Nonequilibrium fluctuations in time-dependent diffusion processes journal October 1998
Digital Fourier microscopy for soft matter dynamics journal August 2014
IVIDIL experiment onboard the ISS journal September 2010
Critical phenomena in microgravity: Past, present, and future journal January 2007
X-ray-scattering information obtained from near-field speckle journal January 2008
Nonequilibrium fluctuations in liquid mixtures under the influence of gravity journal September 1993
Near-field scattering techniques: Novel instrumentation and results from time and spatially resolved investigations of soft matter systems journal December 2009
Study of Phase Separation in a Critical Binary Liquid Mixture: Spinodal Decomposition journal April 1974
Diffusion and Soret in Ternary Mixtures. Preparation of the DCMIX2 Experiment on the ISS journal August 2013
Spinodal-type dynamics in fractal aggregation of colloidal clusters journal June 1992
q Divergence of Nonequilibrium Fluctuations and Its Gravity-Induced Frustration in a Temperature Stressed Liquid Mixture journal August 1996
Giant fluctuations in a free diffusion process journal November 1997
Physical optics treatment of the shadowgraph journal April 2002
Diffusive mass transfer by nonequilibrium fluctuations: Fick’s law revisited journal December 2000
Diffusive Transport by Thermal Velocity Fluctuations journal May 2011
Dynamics of fluctuations in a fluid below the onset of Rayleigh-Bénard convection journal February 2004
Scaling of the spatial power spectrum of excitations at the onset of solutal convection in a nanofluid far from equilibrium journal July 2009
Multiscale temporal integrators for fluctuating hydrodynamics journal December 2014
Thermal Fluctuations in a Layer of Liquid CS 2 Subjected to Temperature Gradients with and without the Influence of Gravity journal June 2011
Nondiffusive decay of gradient-driven fluctuations in a free-diffusion process journal October 2007
Long-wavelength nonequilibrium concentration fluctuations induced by the Soret effect journal October 2006
Temporal integrators for fluctuating hydrodynamics journal March 2013
Multiscale temporal integrators for fluctuating hydrodynamics text January 2014
Staggered Schemes for Fluctuating Hydrodynamics preprint January 2011
Non-equilibrium concentration fluctuations in binary liquids with realistic boundary conditions text January 2015
A reversible mesoscopic model of diffusion in liquids: from giant fluctuations to Fick's law text January 2013
Thermally Induced Fluctuations Below the Onset of Rayleigh-Bénard Convection text January 1995

Cited By (9)

On the Hydrodynamic Stability of a Lennard-Jones Molecular Fluid journal July 2019
European Space Agency experiments on thermodiffusion of fluid mixtures in space journal July 2019
Non-local fluctuation phenomena in liquids journal December 2016
Non-equilibrium concentration fluctuations in superparamagnetic nanocolloids journal February 2017
Confinement effect on the dynamics of non-equilibrium concentration fluctuations far from the onset of convection journal December 2016
Shadowgraph Analysis of Non-equilibrium Fluctuations for Measuring Transport Properties in Microgravity in the GRADFLEX Experiment journal May 2016
The NEUF-DIX space project - Non-EquilibriUm Fluctuations during DIffusion in compleX liquids journal December 2016
Microgravity in a thin film: How confinement kills gravity journal December 2016
Giant Fluctuations Induced by Thermal Diffusion in Complex Liquids journal July 2020