Selected publications

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Complete publication list with pdf files is here


 130. G.Feng,  M. Chen, S. Bi,  Z. H. Goodwin, E. B. Postnikov, N. Brilliantov, M. Urbakh and A. A. Kornyshev, Phys. Rev. X 9, (2019) 021024.

 129. Bodrova, V. Stadnichuk, P. L. Krapivsky, J. Schmidt, N.V. Brilliantov, Kinetic regimes in aggregating systems with spontaneous and collisional fragmentation, J. Phys. A: Math. Gen., 52 (2019) 205001.

 128. I. V. Timokhin, S. A. Matveev, N. Siddharth, E. E. Tyrtyshnikov, A. P. Smirnov and N. V. Brilliantov, Newton method for stationary and quasi-stationary problems for Smoluchowski-type equations, J. Comp. Phys. 382 (2019) 124 – 137.



 127. N. V. Brilliantov, T. Poeschel, and A. Formella, Ballistic aggregation of particles with different aggregation mechanisms, Nature Communications, 9 (2018) 797.

 126. S.A. Matveev, N.V.  Ampilogova, V.I.  Stadnichuk, E. E.Tyrtyshnikov, A.P. Smirnov, and N.V. Brilliantov,  Anderson acceleration method of finding steady-state particle size distribution for a wide class of aggregation-fragmentation models, Computer Physics Communications,  224 (2018) 154-163.

 125. N. V. Brilliantov, W. Otieno, S. A. Matveev, A. P. Smirnov, E. E. Tyrtyshnikov, and P. L. Krapivsky, Steady oscillations in aggregation-fragmentation processes, Phys. Rev. E 98 (2018) 012109.




124. P. L. Krapivsky, W. Otieno and N. V. Brilliantov, Phase Transitions in Systems with Aggregation and Shattering, Phys. Rev. E, 96 (2017) 042138.


123. S.A. Matveev, P.L. Krapivsky, A.P. Smirnov, E.E. Tyrtyshnikov and N.V. Brilliantov,  Oscillations in aggregation-shattering processes,  Phys. Rev. Lett., 119 (2017) 260601.  

 122. N.V. Brilliantov, Yu. A. Budkov and C. Seidel, Theoretical and numerical analysis of nano-actuators based on grafted polyelectrolytes in electric field, Faraday Discussion, 199 (2017) 487-510. DOI: 10.1039/C6FD00240D.

120. A.M. Tom, S. Vemparala, R. Rajesh, and N.V. Brilliantov, Regimes of strong   electrostatic collapse of a highly charged polyelectrolyte in a poor solvent, Soft Matter, 13 (2017) 1862-1872.


 119. N. V. Brilliantov, Yu. A. Budkov and  C. Seidel, Generation of mechanical force by grafted polyelectrolytes in an electric field. Application to polyelectrolyte-based nano-devices, Philosophical Transactions A,  374 (2016) online:

  118. A. M. Tom, S. Vemparala, R. Rajesh, and N. V. Brilliantov, Mechanism of chain collapse of strongly charged polyelectrolytes, Phys. Rev. Lett., 117 (2016) 147801 .

 117. N. V. Brilliantov, Yu. A. Budkov and  C. Seidel, Generation of mechanical force by grafted polyelectrolytes in an electric field, Phys. Rev. E,  93 (2016) 032505.


116. N. V. Brilliantov and J. Schmidt, Wonder of the Solar System: Icy Geysers and Liquid Water on Enceladus, in UK Success Stories in Industrial Mathematics, (Eds. P.J.Aston, A.J.Mulholland and K.M.M. Tant), p.37, Springer, 2016. 




 114. N. V. Brilliantov, P. L. Krapivsky, A. Bodrova, F. Spahn, H. Hayakawa, V. Stadnichuk and J. Schmidt, Size distribution of particles in Saturn’s rings from aggregation and fragmentation, Proc. Natl. Acad. Sci. USA, 112 (2015) 9536-9541

113. N.V. Brilliantov, A.V. Pimenova and D.S. Goldobin, A dissipative force between colliding viscoelastic bodies: Rigorous approach, Europhysics Lettes,  109 (2015) 14005.





108. F. Spahn, E. Vieira Neto, A.H.F. Guimaraes, A. N. Gorban' and N.V. Brilliantov, A statistical model of aggregate fragmentation, New J. Phys., 16 (2014) 013031.





 107. C.Seidel, Yu.A. Budkov and N. V. Brilliantov, Field-regulated force by grafted polyelectrolytes, J. Nanoengineering and Nanosystems, 227 (2013) 142–149.



 106. Yu.A. Budkov, V.I. Frolov, M.G. Kiselev and N. V. Brilliantov, J.Chem.Phys., 139 (2013) 194901. 2012





 98. A. Bodrova, A. K.Dubey, S. Puri and N. Brilliantov, Intermediate regimes in granular Brownian motion: Superdiffusion and Subdiffusion,   Phys. Rev. Lett., 109 (2012) 178001.


97. N. V. Brilliantov and C. Seidel “Grafted polyelectrolyte in strong electric field under load: Field-regulated force and chain contraction”,  Europhysics Lett.,  97 (2012) 28006






96. Denis Goldobin and Nikolai Brilliantov, Diffusive counter dispersion of mass in bubbly media, Phys. Rev. E 84 (2011) 056328.




 95.   Saitoh K., Bodrova  A., Hayakawa H. and  Brilliantov, N.  Negative normal restitution coefficient found in simulation  of nanocluster collisions. Phys. Rev. Lett.  105 (2010) 238001



94.  F. Postberg, S. Kempf, J. Schmidt, N. Brilliantov,  A. Beinsen, B. Abel,        U. Buck & R. Srama,  Sodium salts in E-ring ice grains from an ocean below the surface of   Enceladus,  Nature,  459 (2009)  pp. 1098 -1101 

  92. N. V. Brilliantov, A. S. Bodrova and P. L. Krapivsky,       A model of ballistic aggregation and fragmentation,



      J. Stat. Mech.,  P06011 (2009)   



      doi: 10.1088/1742- 5468/2009/06/P06011   pdf



 90. N.V. Brilliantov and J. Schmidt,



     Aggregation kinetics in a flow: The role of particle-wall collisions,



     Eur. Phys. J.  Special Topics 171 (2009) pp. 15–20.  pdf












88. J. Schmidt, N. Brilliantov,  F. Spahn, and S. Kempf, 
      Formation of Enceladus’ Dust Plume,
      Nature,  451 (2008)  pp. 685-688. pdf    Supplementary pdf






85. N. Brilliantov, J.Schmidt and F. Spahn,



      Geysers of Enceladus: Quantitative analysis of qualitative  models, 



      Planetary and Space Science, 56    (2008),  pp. 1596-1606. pdf









84. N. V. Brilliantov, N. Albers,  F. Spahn, and T. Poeschel,
      Collision dynamics of granular particles with adhesion,
      Phys. Rev. E,  76, (2007) 051302.  pdf

83. N. Brilliantov, T.Poeschel, T. Kranz and A. Zippelius,
      Translations and Rotations are correlated in Granular Gases,
     Phys. Rev. Lett., 98, (2007) 128001.   pdf

81. N. Brilliantov, J.Schmidt and F.Spahn,
     Nucleation and Growth of a Solid Phase in a Gas expanding into Vaccum,
     International Journal of Modern Physics C, 18   (2007)  676-684.   pdf




80. N. Brilliantov and T. Poeschel,
     Breakdown of the Sonine expansion for the velocity
     distribution of granular gases
     Europhys. Lett., 74,  (2006)  424-430.   pdf



79. T. Poeschel, N. Brilliantov and A. Formella,
      Impact of high-energy tails on granular gas properties,
      Phys. Rev. E, 74,  (2006) 041302.  pdf



78. M. Makuch, N. Brilliantov, M. Sremcevic, F. Spahn and A. Krivov,
      Stochastic circumplanetary dynamics of rotating non-spherical dust particles.
      Planetary and Space Science, 54,  (2006) 855-870. pdf






73. N. Brilliantov and T. Poeschel, 
      Self-diffusion in granular gases:Gree-Kubo versus Chapman-Enskog, 
      Chaos, 15 (2005) 026108. pdf



72. T. Poeschel, N. V. Brilliantov and A. Zaikin,
      Bistability and noise-enhanced velocity of rolling motion,
      Europhys. Letters,  69, (2005) 371-377. 






70. N. V. Brilliantov and T.Poeschel,
      Collision of adhesive viscoelastic particles,
       In: H. Hinrichsen and D.Wolf, (Eds.)
      The Physics of Granular Media,  Wiley-VCH, (Berlin, 2004).  pdf



68. N.V.Brilliantov, C. Saluena, T. Schwager and   T.Poeschel,
        Transient structures in a granular gas,
       Phys. Rev. Lett., 93, (2004) 134301. pdf



67. N.V.Brilliantov and T.Poeschel,
        Kinetic Theory of Granular Gases,
        Oxford University Press, 






66. T. Poeschel  and N. V. Brilliantov (Eds.), 
       Granular Gas Dynamics,
       Lecture Notes in Physics, vol. 624, Springer (2003).



65. T.Poeschel, and  N.V.Brilliantov,
      Kinetic Integrals in the Kinetic Theory of dissipative gases,
      In: T. Poeschel,  N.V. Brilliantov  (Eds.) "Granular Gas Dynamics",
      Lecture Notes in Physics,
      vol. 624, Springer (Berlin, 2003), p. 131-162.  pdf



64. T.Poeschel, N.V. Brilliantov, and C. Frommel,
      Kinetics of Prion Growth,
      Biophysical Journal,  85,  (2003)  3460-3474. pdf



63. N.V.Brilliantov, T. Pöschel,
      Hydrodynamics and transport coefficients for Granular Gases,
      Phys. Rev. E, 67, (2003), 061304.     pdf



62. T.Poeschel, N.V. Brilliantov, and T. Schwager,
      Long-time behavior of Granular Gases with impact-velocity dependent  coefficient of      restitution,
       Physica A, 325,  (2003) 274-283.     pdf 






60. N.V.Brilliantov, V.V.Malinin and R.R.Netz
      Systematic Field-Theory for the Hard-Core One-Component Plasma,
      Eur. Phys. J. D, 18,  (2002) p.339-345. pdf



58. N.V.Brilliantov and T.Poeschel,
      Hydrodynamics of granular gases of viscoelastic particles,
      Phil. Trans. R. Soc. Lond. A, 360, (2002) 415-429. pdf






56. T. Poeschel and N. V. Brilliantov,
      Extremal collision sequences of particles on a line:  optimal transmission



      of kinetic energy,
      Phys. Rev. E, 63, (2001) 021505.   pdf



55. N.V.Brilliantov and T.Poeschel,
      Granular Gases -- the early stage,
      in "Coherent Structures in Complex Systems", ed by D. Reguera,  L.L. Bonilla, M. Rubi,
      Lecture Notes in Physics, Vol.567,
       Springer (2001)  p.408-419






53.  N.V.Brilliantov and T.Poeschel,
       Self-diffusion in granular gases,
       Phys.Rev. E, 61, (2000) 1716-1721.  pdf



52. N. V. Brilliantov and T. Poeschel,
      Deviation from Maxwell Distribution in Granular Gases with Constant Restitution Coefficient.
      Phys. Rev. E, 61, (2000) 2809-2812.   pdf



51. N. V. Brilliantov and T. Poeschel,
      Velocity distribution in granular gases of viscoelastic particles,
      Phys. Rev. E, 61, (2000) 5573-5587.   pdf



50. N. V. Brilliantov, T. Poeschel,
      Granular Gases with Impact-velocity Dependent Restitution Coefficient,
      in  "Granular Gases",  ed. by S.Luding, and T.Poeschel,
      Lecture Notes in Physics Vol. 564, Springer (Berlin, 2000), p. 100.



49. T.Poeschel and N. V. Brilliantov,
     Chains of Viscoelastic Spheres,
     in "Granular Gases",  ed. by S.Luding, and T.Poeschel,
      Lecture Notes in Physics Vol. 564, Springer (Berlin, 2000), p. 203.



48. A.Yu. Andrienko, N.V.Brilliantov, and J.Kurths,
      Complexity of two-dimensional patterns.
      Eur. Phys. J. B, 15, (2000) 539-546.  pdf



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