Charles Moslonka and Ken Sekimoto,  arxiv.org/abs/2106.14821 (will be revised soon)
Martingale-induced local invariance in progressive quenching
  (The martingale in our system has turned out to be exact. PQ is in fact a typical model of martingale.)

Charles Moslonka and Ken Sekimoto,  arXiv:2001.04842 = Phys. Rev. E 101, 062139 (2020)
Memory through a hidden martingale process in progressive quenching
   (We introduce the concept of hidden martingale process in which the martingale allows to predict future PDEs)

Michael Etienne and Ken Sekimoto,  arXiv: 1710.09319v1 =Acta Phys. Pol. B 49, 883 (2018)
   Progressive quenching — Ising chain models
     (We are gradually understanding what does martingale mean for physicists.)

Bruno Ventéjou and Ken Sekimoto,  arXiv:1710.06166v1 =Phys. Rev. E 97, 062150 (2018)
   Progressive quenching - Globally coupled model
    (We propose a concept, Progressive Quenching (PQ). An intrinsic martingale can appear in PQ.)

Caterina De Bacco et al.  arXiv: 1311.3448v2 = Phys.Rev.Lett. 112, 180605 (2014)
   Non-equilibrium statistical mechanics of the heat bath for two Brownian particles
      (If there is a retarded frictional coupling, there must be also a Casimir force !)

Ken Sekimoto, Antoine Fruleux, Ryoichi Kawai and Nathan Ridling, arXiv:1301.7035 = Acta Physica Polonica B 44, 847 (2013);   From adiabatic piston to non-equilibrium hydrodynamics
      (Heat flux through a dense gas does not cause the disparity between the pressures on the hot and cold walls.)

Ryoichi Kawai, Antoine Fruleux and Ken Sekimoto, arXiv:1204.6536 = Phys. Scr. 86, 058508 (2012)
'A hard disk analysis of momentum deficit due to dissipation'

Antoine Fruleux, Ryoichi Kawai and Ken Sekimoto, arXiv:1109.6553v2  = Phys. Rev. Lett. 108, 160601 (2012)
   'Momentum transfer in non-equilibrium steady states'  
     (The first explanation of the mechanism of adiabatic piston and related phenomena based on energy and momentum.)

Ken Sekimoto;  Lecture Notes in Physics vol. 799
   'Stochastic Energetics' (Springer, Feb. 2010)   [Paperback edition: April 2012]

E. Muneyuki and K. Sekimoto; Phys. Rev. E 81, 011137 (2010)
   A model of reversible pump made of allosterically coupled ratchet subsystems
     (How a single lever can drive directional transport through a channel ?)

Sekimoto, K.; Phys. Rev. E 76, 060103(R) (2007)
   Microscopic heat from the energetics of stochastic phenomena
    (We must distinguish the abstract thermodynamic structure from its specific realization which depends on the scale of description.)


Ken Sekimoto: in Iwanami Publ., Tokyo, (2004)
   'Stochastic Energetics' (book in japanese) [On-demand version,  Jan. 2016]

Ayukawa R, Iwata S, Imai H, Kamimura S, Hayashi M, Ngo KX, Minoura I, Uchimura S, Makino T, Shirouzu M, Shigematsu H, Sekimoto K*, Gigant B*, Muto E*; J Cell Biol. (2021) doi: 10.1083/jcb.202007033 (open access)  GTP-dependent formation of straight tubulin oligomers leads to microtubule nucleation.
   (Nouvel observation of MT nucleation and its analysis updates the traditional
  Voter-Erickson model. ) ( Press release CNRS) (spotlight JBC)

Claire Ribrault, Ken Sekimoto and Antoine Triller : Nature Reviews Neuroscience 12, 375-387 (July 2011)
   From the stochasticity of molecular processes to the variability of synaptic transmission

I. Minoura, E. Katayama, K. Sekimoto and E. Muto: Biophys.J  98, 1589-97 (2010) [featured article->Research Highlights]
  One-dimensional Brownian motion of charged nanoparticles along microtubules : A model system for weak binding interactions

K. Sekimoto and A. Triller: Phys. Rev. E 79, 031905 (2009)
   Compatibility between itinerant synaptic receptors and stable postsynaptic structure

Claire Ribrault, Antoine Triller and Ken Sekimoto: Phys. Rev. E 75 , 021112 (2007) .
   Diffusion trajectory of an asymmetric object: Information overlooked by the mean square displacement

Ken Sekimoto: Comptes Rendus Physique, 8, 650 (2007)
   Bidirectional control --- a unifying view of the structure and function of proteins   

Ken Sekimoto: Physica D 205, 242 (2005) .
   Autonomous free-energy transducer working under thermal fluctuations 

Ken Sekimoto and Jacques Prost : J. Phys. Chem.  DOI: 10.1021/acs.jpcb.6b01627
   Elastic Anisotropy Scenario for Cooperative Binding of Kinesin Coated Beads on Microtubules

K. Kruse, J.-F. Joanny, F. Julicher, J. Prost, and K. Sekimoto: Eur. Phys. J. E 16 , 5 (2005).
   Generic theory of active polar gels: a paradigm for cytoskeletal dynamics 

K. Kruse J.-F. Joanny, F. Julicher, J. P rost, and K. Sekimoto: Phys. Rev. Lett. 92 , 078101 (2004). [erratum]
   Asters, Vortices, and Rotating Spirals in Active Gels of Polar Filaments 

K. Sekimoto, J. Prost, F. Julicher, H. Boukellal, and A. Bernheim-Grosswasser: Eur. Phys. J. E 13 , 247 (2004).
   Role of tensile stress in actin gels and a symmetry-breaking instability 

G. Facchini, K. Sekimoto,  S. Courrech du Pont; Proc. R. Soc. A 473: 20170076
        (http://dx.doi.org/10.1098/rspa.2017.0076)
      (The instability of rolling suitcase is the time-reversal of speed skating.)

A. Fruleux and K. Sekimoto; Phys. Rev. E 94, 013004 (2016)
   Mesoscopic formulas of linear and angular momentum fluxes
     (Irving-Kirkwood formula (1950) relates the macroscopic forces in a dense gas fluid to the dynamics of constituting molecules. Nobody has imagined that this formula could reappear in the description of the dynamics of collective amoeba motion. By looking at the I-K formula as a generic transformation of the momentum flow at small scale to the one at large scale, the formula becomes a powerful tool to combine the vast wisdom of the statistical mechanics and the constructionist approach of complex systems including slime mold.)

Ken Sekimoto : Phys. Rev. Lett. 104, 124302 (2010)
    Newton's cradle vs non-binary collisions
  (Only the soft interaction can realize the rigid-body behavior. See the 2021 paper in EPJB)


L. Pauchard, B. Abou and K. Sekimoto; Langmuir, 25, 6672(2009).
   Influence of nanoparticles mechanical properties on macrocracks formation
  (Mainly experimental. )

Ken Sekimoto;  Internal stress as a link between macroscopic and mesoscopic mechanics
"Chemomechanical Instabilities in Responsive Materials", (Springer Science+Business Media), 241 (2009) (preprint in pdf)
     (Only the non-quasiequilibrium can switch the internal [residual] stress into visible stress and vice versa.)

Ooshida Takeshi and Ken Sekimoto: Phys. Rev. Lett. 95 , 108301 (2005) .
   Internal Stress in a Model Elastoplastic Fluid ,

Y.Miyamoto, H.Yamao and K.Sekimoto; Macromolecules, 36, 6462 (2003)
   Crystallization and Melting of Polyisoprene Rubber under Uniaxial Deformation
      (For rubber glass, the temporal memory can be stocked as a microscopic residual stress.)

Ken Sekimoto : a review in Japanese (2010) on "Momentumics"

Ken Sekimoto and Takahiko Fujita : http://arxiv.org/abs/1211.0935v2 = Symmetry 11, 1489 (2019)
Symmetry in Self-Similarity in Space and Time—Short Time Transients and Power-Law Spatial Asymptotes
(arXiv title: Family of self-similar solutions of diffusion equation — Structure and Properties )
    (Why the harmonic oscillator wf is Hermite times gaussian ? The integrating factor gives an answer.)

S. Twareque Ali, et al. J. Math. Phys., 50, 043517 (2009).
   Noncommutative reading of the complex plane through Delone sequences

C. Dubus, K. Sekimoto and J.-B. Fournier: Proc. Roy. Soc. Lond. A, 462 , 2695 (2006) .
   General up to next-nearest-neighbour elasticity of triangular lattices in  three dimensions
      (A lattice version of Stokes theorem explains an extensive boundary terms in the elastic energy.)

Vulgarization:
L. Pauchard, V. Lazarus, B. Abou, K. Sekimoto, G. Aitken and C. Lahanier: Reflets de la Physique, 3, 5 (2007).
   Craquelures dans les couches picturales des peintures d'art (In French)