Onsager?s Variational Principle for Nonreciprocal Systems with Odd Elasticity

被引:8
|
作者
Lin, Li-Shing [1 ]
Yasuda, Kento [2 ]
Ishimoto, Kenta [2 ]
Hosaka, Yuto [3 ]
Komura, Shigeyuki [1 ,4 ,5 ]
机构
[1] Tokyo Metropolitan Univ, Grad Sch Sci, Dept Chem, Hachioji, Tokyo 1920397, Japan
[2] Kyoto Univ, Res Inst Math Sci, Kyoto 6068502, Japan
[3] Max Planck Inst Dynam & Selforg MPI DS, Fassberg 17, D-37077 Gottingen, Germany
[4] Univ Chinese Acad Sci, Wenzhou Inst, Wenzhou 325001, Zhejiang, Peoples R China
[5] Oujiang Lab, Wenzhou 325000, Zhejiang, Peoples R China
基金
日本学术振兴会; 日本科学技术振兴机构; 中国国家自然科学基金;
关键词
SOFT;
D O I
10.7566/JPSJ.92.033001
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Using Onsager's variational principle, we derive dynamical equations for a nonequilibrium active system with odd elasticity. The elimination of the extra variable that is coupled to the nonequilibrium driving force leads to the nonreciprocal set of equations for the material coordinates. The obtained nonreciprocal equations manifest the physical origin of the odd elastic moduli that are proportional to the nonequilibrium force and the friction coefficients. Our approach offers a systematic and consistent way to derive nonreciprocal equations for active matter in which the time -reversal symmetry is broken.
引用
收藏
页数:4
相关论文
共 50 条
  • [22] Onsager's Variational Principle in Soft Matter: Introduction and Application to the Dynamics of Adsorption of Proteins onto Fluid Membranes
    Arroyo, Marino
    Walani, Nikhil
    Torres-Sanchez, Alejandro
    Kaurin, Dimitri
    [J]. ROLE OF MECHANICS IN THE STUDY OF LIPID BILAYERS, 2018, 577 : 287 - 332
  • [23] A VARIATIONAL PRINCIPLE FOR NONHOLONOMIC SYSTEMS
    SALETAN, EJ
    CROMER, AH
    [J]. AMERICAN JOURNAL OF PHYSICS, 1970, 38 (07) : 892 - &
  • [24] A VARIATIONAL PRINCIPLE FOR LINEAR SYSTEMS
    POMRANING, GC
    [J]. JOURNAL OF THE SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS, 1965, 13 (02): : 511 - +
  • [25] VARIATIONAL PRINCIPLE FOR NONLINEAR SYSTEMS
    LEWINS, J
    [J]. NUCLEAR SCIENCE AND ENGINEERING, 1962, 12 (01) : 10 - &
  • [26] Application of Herglotz's variational principle to electromagnetic systems with dissipation
    Gaset, Jordi
    Marin-Salvador, Adria
    [J]. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2022, 19 (10)
  • [27] Hamilton’s Principle as Variational Inequality for Mechanical Systems with Impact
    R. I. Leine
    U. Aeberhard
    C. Glocker
    [J]. Journal of Nonlinear Science, 2009, 19
  • [28] Hamilton's Principle as Variational Inequality for Mechanical Systems with Impact
    Leine, R. I.
    Aeberhard, U.
    Glocker, C.
    [J]. JOURNAL OF NONLINEAR SCIENCE, 2009, 19 (06) : 633 - 664
  • [29] Ekeland's variational principle in weak and strong systems of arithmetic
    Fernandez-Duque, David
    Shafer, Paul
    Yokoyama, Keita
    [J]. SELECTA MATHEMATICA-NEW SERIES, 2020, 26 (05):
  • [30] Ekeland’s variational principle in weak and strong systems of arithmetic
    David Fernández-Duque
    Paul Shafer
    Keita Yokoyama
    [J]. Selecta Mathematica, 2020, 26