Direct verification of the fluctuation-dissipation relation in viscously coupled oscillators

被引:10
作者
Paul, Shuvojit [1 ]
Laskar, Abhrajit [2 ]
Singh, Rajesh [2 ]
Roy, Basudev [3 ]
Adhikari, R. [2 ,4 ]
Banerjee, Ayan [1 ]
机构
[1] Indian Inst Sci Educ & Res, Kolkata 741246, Mohanpur, India
[2] Inst Math Sci HBNI, CIT Campus, Madras 600113, Tamil Nadu, India
[3] Indian Inst Technol, Dept Phys, Madras 600036, Tamil Nadu, India
[4] Univ Cambridge, Ctr Math Sci, DAMTP, Wilberforce Rd, Cambridge CB3 0WA, England
关键词
HYDRODYNAMIC INTERACTIONS; THERMAL AGITATION; STRATONOVICH; SUSPENSION; CONDUCTORS; PARTICLES; ITO;
D O I
10.1103/PhysRevE.96.050102
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
The fluctuation-dissipation relation, a central result in nonequilibrium statistical physics, relates equilibrium fluctuations in a system to its linear response to external forces. Here we provide a direct experimental verification of this relation for viscously coupled oscillators, as realized by a pair of optically trapped colloidal particles. A theoretical analysis, in which interactions mediated by slow viscous flow are represented by nonlocal friction tensors, matches experimental results and reveals a frequency maximum in the amplitude of the mutual response which is a sensitive function of the trap stiffnesses and the friction tensors. This allows for its location and width to be tuned and suggests the utility of the trap setup for accurate two-point microrheology.
引用
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页数:5
相关论文
共 30 条
[1]  
[Anonymous], 1948, Theory of the Stability of Lyophobic Colloids
[2]   Power spectrum analysis for optical tweezers [J].
Berg-Sorensen, K ;
Flyvbjerg, H .
REVIEW OF SCIENTIFIC INSTRUMENTS, 2004, 75 (03) :594-612
[3]   Theoretical perspective on the glass transition and amorphous materials [J].
Berthier, Ludovic ;
Biroli, Giulio .
REVIEWS OF MODERN PHYSICS, 2011, 83 (02) :587-645
[4]   IRREVERSIBILITY AND GENERALIZED NOISE [J].
CALLEN, HB ;
WELTON, TA .
PHYSICAL REVIEW, 1951, 83 (01) :34-40
[5]  
Chaikin P. M., 2000, PRINCIPLES CONDENSED, V1
[6]   FRICTION AND MOBILITY OF MANY SPHERES IN STOKES-FLOW [J].
CICHOCKI, B ;
FELDERHOF, BU ;
HINSEN, K ;
WAJNRYB, E ;
BLAWZDZIEWICZ, J .
JOURNAL OF CHEMICAL PHYSICS, 1994, 100 (05) :3780-3790
[7]   Nonequilibrium and information: The role of cross correlations [J].
Crisanti, A. ;
Puglisi, A. ;
Villamaina, D. .
PHYSICAL REVIEW E, 2012, 85 (06)
[8]  
Derjaguin B., 1941, ACTA PHYSICOCHIM URS, V14, P633, DOI DOI 10.1016/0079-6816(93)90013-L
[9]   How Far from Equilibrium Is Active Matter? [J].
Fodor, Etienne ;
Nardini, Cesare ;
Cates, Michael E. ;
Tailleur, Julien ;
Visco, Paolo ;
van Wijland, Frederic .
PHYSICAL REVIEW LETTERS, 2016, 117 (03)
[10]  
Gardiner C. W., 1985, HDB STOCHASTIC METHO, V3