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

Cerbino, Roberto; Sun, Yifei; Donev, Aleksandar; Vailati, Alberto

doi:10.1038/srep14486

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

Abstract

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.

Authors:

Cerbino, Roberto ^[1]; Sun, Yifei ^[2]; Donev, Aleksandar ^[2]; Vailati, Alberto ^[3]

Univ. degli Studi di Milano (Italy). Dipartimento di Biotecnologie Mediche e Medicina Traslazionale
New York Univ., New York, NY (United States). Courant Inst. of Mathematical Sciences
Univ. degli Studi di Milano (Italy). Dipartimento di Fisica

Publication Date:: Wed Sep 30 00:00:00 EDT 2015

Research Org.:: New York Univ. (NYU), NY (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1441145

Grant/Contract Number:: SC0008271

Resource Type:: Journal Article: Accepted Manuscript

Journal Name:: Scientific Reports

Additional Journal Information:: Journal Volume: 5; Journal Issue: 1; Journal ID: ISSN 2045-2322

Publisher:: Nature Publishing Group

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY; 59 BASIC BIOLOGICAL SCIENCES

Citation Formats


                    Cerbino, Roberto, Sun, Yifei, Donev, Aleksandar, and Vailati, Alberto. Dynamic scaling for the growth of non-equilibrium fluctuations during thermophoretic diffusion in microgravity.  United States: N. p., 2015. 
        Web.  doi:10.1038/srep14486.

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                    Cerbino, Roberto, Sun, Yifei, Donev, Aleksandar, & Vailati, Alberto. Dynamic scaling for the growth of non-equilibrium fluctuations during thermophoretic diffusion in microgravity.  United States.  https://doi.org/10.1038/srep14486

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                    Cerbino, Roberto, Sun, Yifei, Donev, Aleksandar, and Vailati, Alberto. 2015.  
        "Dynamic scaling for the growth of non-equilibrium fluctuations during thermophoretic diffusion in microgravity".  United States.  https://doi.org/10.1038/srep14486.  https://www.osti.gov/servlets/purl/1441145.

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@article{osti_1441145,

  title        = {Dynamic scaling for the growth of non-equilibrium fluctuations during thermophoretic diffusion in microgravity},

  author       = {Cerbino, Roberto and Sun, Yifei and Donev, Aleksandar and Vailati, Alberto},

  abstractNote = {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.},

  doi          = {10.1038/srep14486},

  url          = {https://www.osti.gov/biblio/1441145},
  journal      = {Scientific Reports},

  issn         = {2045-2322},

  number       = 1,

  volume       = 5,

  place        = {United States},

  year         = {Wed Sep 30 00:00:00 EDT 2015},

  month        = {Wed Sep 30 00:00:00 EDT 2015}

}

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Works referencing / citing this record:

On the Hydrodynamic Stability of a Lennard-Jones Molecular Fluid
journal, July 2019

Raghavan, Bharath Venkatesh; Ostoja-Starzewski, Martin
Journal of Statistical Physics, Vol. 177, Issue 1
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Braibanti, M.; Artola, P. -A.; Baaske, P.
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Croccolo, F.; Ortiz de Zárate, J. M.; Sengers, J. V.
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Non-equilibrium concentration fluctuations in superparamagnetic nanocolloids
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Oprisan, Ana; Rice, Ashley; Oprisan, Sorinel A.
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Confinement effect on the dynamics of non-equilibrium concentration fluctuations far from the onset of convection
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Giraudet, Cédric; Bataller, Henri; Sun, Yifei
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Shadowgraph Analysis of Non-equilibrium Fluctuations for Measuring Transport Properties in Microgravity in the GRADFLEX Experiment
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Croccolo, Fabrizio; Giraudet, Cédric; Bataller, Henri
Microgravity Science and Technology, Vol. 28, Issue 4
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The NEUF-DIX space project - Non-EquilibriUm Fluctuations during DIffusion in compleX liquids
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Microgravity in a thin film: How confinement kills gravity
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Croccolo, Fabrizio; Bataller, Henri
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Giant Fluctuations Induced by Thermal Diffusion in Complex Liquids
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Vailati, Alberto; Baaske, Philipp; Bataller, Henri
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Title: Dynamic scaling for the growth of non-equilibrium fluctuations during thermophoretic diffusion in microgravity

Abstract

Citation Formats

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

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Critical Point in Space: A Quest for Universality journal, July 2014

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Protein crystal growth in microgravity journal, November 1989

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Critical phenomena in microgravity: Past, present, and future journal, January 2007

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Near-field scattering techniques: Novel instrumentation and results from time and spatially resolved investigations of soft matter systems journal, December 2009

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Diffusion and Soret in Ternary Mixtures. Preparation of the DCMIX2 Experiment on the ISS journal, August 2013

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

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Staggered Schemes for Fluctuating Hydrodynamics preprint, January 2011

Non-equilibrium concentration fluctuations in binary liquids with realistic boundary conditions text, January 2015

Can phoretic motions be treated as interfacial tension gradient driven phenomena? journal, September 1981

Nonequilibrium fluctuations in liquid mixtures under the influence of gravity journal, September 1993

IVIDIL experiment onboard the ISS journal, September 2010

Giant fluctuations in a free diffusion process journal, November 1997

Fractal fronts of diffusion in microgravity journal, April 2011

X-ray-scattering information obtained from near-field speckle journal, January 2008

Physical optics treatment of the shadowgraph journal, April 2002

Theory for the Slowing Down of the Relaxation and Spinodal Decomposition of Binary Mixtures journal, October 1974

Spinodal-type dynamics in fractal aggregation of colloidal clusters journal, June 1992

Nonequilibrium fluctuations in the Rayleigh-Bénard problem for binary fluid mixtures journal, November 2004

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

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

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Thermally Induced Fluctuations below the Onset of Rayleigh-Bénard Convection
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Macromolecular crystallization in microgravity
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A dynamic scaling assumption for phase separation
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Nonequilibrium fluctuations in the Rayleigh-Bénard problem for binary fluid mixtures
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Critical Point in Space: A Quest for Universality
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Generic scale invariance and self-organized criticality
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Non-equilibrium concentration fluctuations in binary liquids with realistic boundary conditions
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Protein crystal growth in microgravity
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Nonequilibrium fluctuations in time-dependent diffusion processes
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Digital Fourier microscopy for soft matter dynamics
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IVIDIL experiment onboard the ISS
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Critical phenomena in microgravity: Past, present, and future
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X-ray-scattering information obtained from near-field speckle
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Nonequilibrium fluctuations in liquid mixtures under the influence of gravity
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Near-field scattering techniques: Novel instrumentation and results from time and spatially resolved investigations of soft matter systems
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Study of Phase Separation in a Critical Binary Liquid Mixture: Spinodal Decomposition
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Diffusion and Soret in Ternary Mixtures. Preparation of the DCMIX2 Experiment on the ISS
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$q$ Divergence of Nonequilibrium Fluctuations and Its Gravity-Induced Frustration in a Temperature Stressed Liquid Mixture
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Physical optics treatment of the shadowgraph
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Diffusive mass transfer by nonequilibrium fluctuations: Fick’s law revisited
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Diffusive Transport by Thermal Velocity Fluctuations
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Dynamics of fluctuations in a fluid below the onset of Rayleigh-Bénard convection
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Scaling of the spatial power spectrum of excitations at the onset of solutal convection in a nanofluid far from equilibrium
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Multiscale temporal integrators for fluctuating hydrodynamics
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Thermal Fluctuations in a Layer of Liquid ${CS}_{2}$ Subjected to Temperature Gradients with and without the Influence of Gravity
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Nondiffusive decay of gradient-driven fluctuations in a free-diffusion process
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Long-wavelength nonequilibrium concentration fluctuations induced by the Soret effect
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Temporal integrators for fluctuating hydrodynamics
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Multiscale temporal integrators for fluctuating hydrodynamics
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Staggered Schemes for Fluctuating Hydrodynamics
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Non-equilibrium concentration fluctuations in binary liquids with realistic boundary conditions
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Can phoretic motions be treated as interfacial tension gradient driven phenomena?
journal, September 1981

Nonequilibrium fluctuations in liquid mixtures under the influence of gravity
journal, September 1993

IVIDIL experiment onboard the ISS
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Giant fluctuations in a free diffusion process
journal, November 1997

Fractal fronts of diffusion in microgravity
journal, April 2011

X-ray-scattering information obtained from near-field speckle
journal, January 2008

Physical optics treatment of the shadowgraph
journal, April 2002

Theory for the Slowing Down of the Relaxation and Spinodal Decomposition of Binary Mixtures
journal, October 1974

Spinodal-type dynamics in fractal aggregation of colloidal clusters
journal, June 1992

Nonequilibrium fluctuations in the Rayleigh-Bénard problem for binary fluid mixtures
journal, November 2004

A reversible mesoscopic model of diffusion in liquids: from giant fluctuations to Fick's law
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Thermally Induced Fluctuations Below the Onset of Rayleigh-Bénard Convection
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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