Front propagation into an unstable state in a forced medium: Experiments and theory

被引:8
作者
Alfaro-Bittner, K. [1 ]
Castillo-Pinto, C. [2 ,3 ]
Clerc, M. G. [2 ,3 ]
Gonzalez-Cortes, G. [2 ,3 ]
Rojas, R. G. [1 ]
Wilson, M. [4 ]
机构
[1] Pontificia Univ Catolica Valparaiso, Inst Fis, Casilla 4059, Valparaiso, Chile
[2] Univ Chile, Fac Ciencias Fis & Matemat, Phys Dept, Casilla 487-3, Santiago, Chile
[3] Univ Chile, Fac Ciencias Fis & Matemat, Millennium Inst Res Opt, Casilla 487-3, Santiago, Chile
[4] CONACYT CICESE, Carretera Ensenada Tijuana 3918, Ensenada 22860, Baja California, Mexico
关键词
CRYSTAL-LIGHT-VALVE;
D O I
10.1103/PhysRevE.98.050201
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
Spatially forced systems can exhibit coexistence and a rich interface dynamics between manipulable states. We show here how the propagation speed of a front into an unstable state can be modified through periodic space forcing. Based on optical feedback, we set up a quasi-one-dimensional forced experiment in a liquid-crystal cell. When changing the forcing parameters, fronts exhibit a ratchet motion. Unexpectedly, the average speed of fronts decreases when the strength of the forcing increases. Close to molecular reorientation transition, an amplitude equation allows characterizing analytically and numerically the observed dynamics.
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页数:5
相关论文
共 24 条
[1]   VORTEX-FRONT PROPAGATION IN ROTATING COUETTE-TAYLOR FLOW [J].
AHLERS, G ;
CANNELL, DS .
PHYSICAL REVIEW LETTERS, 1983, 50 (20) :1583-1586
[2]   π-kink propagation in the damped Frenkel-Kontorova model [J].
Alfaro-Bittner, K. ;
Clerc, M. G. ;
Garcia-Nustes, M. A. ;
Rojas, R. G. .
EPL, 2017, 119 (04)
[3]  
[Anonymous], 2006, Patterns and Interfaces in Dissipative Dynamics
[4]   MULTIDIMENSIONAL NON-LINEAR DIFFUSION ARISING IN POPULATION-GENETICS [J].
ARONSON, DG ;
WEINBERGER, HF .
ADVANCES IN MATHEMATICS, 1978, 30 (01) :33-76
[5]   First-order Freedericksz transition and front propagation in a liquid crystal light valve with feedback [J].
Clerc, MG ;
Nagaya, T ;
Petrossian, A ;
Residori, S ;
Riera, CS .
EUROPEAN PHYSICAL JOURNAL D, 2004, 28 (03) :435-445
[6]   First-order Freedericksz transition in the presence of light-driven feedback in nematic liquid crystals [J].
Clerc, MG ;
Residori, S ;
Riera, CS .
PHYSICAL REVIEW E, 2001, 63 (06)
[7]  
Cross M., 2009, Pattern Formation and Dynamics in Nonequilibrium Systems
[8]   DUAL FRONTS PROPAGATING INTO AN UNSTABLE STATE [J].
ELMER, FJ ;
ECKMANN, JP ;
HARTSLEBEN, G .
NONLINEARITY, 1994, 7 (04) :1261-1276
[9]  
Faraday M., 1861, A Course of Six Lectures on the Chemical History of a Candle: To which is Added a Lecture on Platinum
[10]  
Feynman R, 1963, LECT PHYS, VI