Experimental study of out-of-equilibrium fluctuations in a colloidal suspension of Laponite using optical traps

This work is devoted to the study of displacement fluctuations of micron-sized particles in an aging colloidal glass. We address the issue of the validity of the fluctuation dissipation theorem (FDT) and the time evolution of viscoelastic properties during aging of aqueous suspensions of a clay (Laponite RG) in a colloidal glass phase. Given the conflicting results reported in the literature for different experimental techniques, our goal is to check and reconcile them using \emph{simultaneously} passive and active microrheology techniques. For this purpose we measure the thermal fluctuations of micro-sized brownian particles immersed in the colloidal glass and trapped by optical tweezers. We find that both microrheology techniques lead to compatible results even at low frequencies and no violation of FDT is observed. Several interesting features concerning the statistical properties and the long time correlations of the particles are observed during the transition.

[1]  Experimental study of the fluctuation dissipation relation during an aging process , 2002, cond-mat/0201224.

[2]  R. Rosenfeld Nature , 2009, Otolaryngology--head and neck surgery : official journal of American Academy of Otolaryngology-Head and Neck Surgery.

[3]  H. Cummins Liquid, glass, gel: The phases of colloidal Laponite , 2007 .

[4]  S. Ciliberto,et al.  Work and dissipation fluctuations near the stochastic resonance of a colloidal particle , 2007, 0711.3543.

[5]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[6]  J. Kurchan,et al.  In and out of equilibrium , 2005, Nature.

[7]  Out of equilibrium generalized Stokes–Einstein relation: determination of the effective temperature of an aging medium , 2004, cond-mat/0404613.

[8]  Jorge Kurchan,et al.  Non-equilibrium work relations , 2005, cond-mat/0511073.

[9]  A. Petrosyan,et al.  Probability density functions of work and heat near the stochastic resonance of a colloidal particle , 2008, 0809.4957.

[10]  D. Bonn,et al.  Laponite: What Is the Difference between a Gel and a Glass? , 1999 .

[11]  Francesco Zamponi,et al.  A fluctuation theorem for non-equilibrium relaxational systems driven by external forces , 2005 .

[12]  Francesco S. Pavone,et al.  OPTICS; ATOMS and MOLECULES; SPECTROSCOPY 1687 Calibration of optical tweezers with differential interference contrast signals , 2002 .

[13]  T. Wood,et al.  Measurement of effective temperatures in an aging colloidal glass. , 2006, Physical review letters.

[14]  S. Ciliberto,et al.  Fluctuation theorems for harmonic oscillators , 2007, cond-mat/0703798.

[15]  Peter Sollich,et al.  Equivalence of driven and aging fluctuation-dissipation relations in the trap model. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[16]  C. Conti,et al.  Aging of the nonlinear optical susceptibility in doped colloidal suspensions , 2007 .

[17]  A. Crisanti,et al.  Intermittency of glassy relaxation and the emergence of a non-equilibrium spontaneous measure in the aging regime , 2003 .

[18]  Work fluctuation theorems for harmonic oscillators. , 2006, Physical review letters.

[19]  F. MacKintosh,et al.  Fluctuation-dissipation theorem in an aging colloidal glass. , 2005, Physical review letters.

[20]  D. Bonn,et al.  Multiple nonergodic disordered states in Laponite suspensions: a phase diagram. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[21]  Aging dynamics in a colloidal glass. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[22]  Probing a nonequilibrium einstein relation in an aging colloidal glass. , 2004, Physical review letters.

[23]  G. Parisi Off-equilibrium fluctuation-dissipation relation in fragile glasses , 1997 .

[24]  F. C. MacKintosh,et al.  Determining Microscopic Viscoelasticity in Flexible and Semiflexible Polymer Networks from Thermal Fluctuations , 1997 .

[25]  F. MacKintosh,et al.  Effective temperatures from the fluctuation-dissipation measurements in soft glassy materials , 2008, 0804.3387.

[26]  Shearing a glassy material: numerical tests of nonequilibrium mode-coupling approaches and experimental proposals. , 2001, Physical review letters.

[27]  ENERGY FLOW, PARTIAL EQUILIBRATION, AND EFFECTIVE TEMPERATURES IN SYSTEMS WITH SLOW DYNAMICS , 1997, cond-mat/9611044.

[28]  C. Tanford Macromolecules , 1994, Nature.

[29]  Violation of the fluctuation-dissipation relation during the formation of a colloidal glass , 2000, cond-mat/0008160.

[30]  D. Bonn,et al.  LETTER TO THE EDITOR: Ageing dynamics of translational and rotational diffusion in a colloidal glass , 2004 .