Professor N. Brilliantov

+44 (0)116 252 3917



Personal details

M.Sc, PhD, DSc

I was born in Russia and possess a strong passion for Physics. I'm also a Member of the Editorial Board of The Physical Review Letters. I also have a daughter, she is biochemist. My hobbies include sport and travelling, art and literature.


Google Scholar Profile






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, submitted (2016). (arXiv:1609.06486).

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.



115. 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.

114. V. Stadnichuk, A. Bodrova and N. Brilliantov, Smoluchowskii aggregation-fragmentation equations: Fast numerical method to find steady-state solutions, Int. J. Mod. Phys. B, 29 (2015) 1550208.

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.

112. D. S. Goldobin, E. A. Susloparov, A.V. Pimenova and N. V. Brilliantov, Collision of viscoelastic bodies: Rigorous derivation of dissipative force, European Physics J. E, 38 (2015)   55.




111. A. Bodrova, D.  Levchenko and N. Brilliantov, Universality of temperature distribution in granular gas mixtures with a steep particle size distribution, Europhys. Lett. 106 (2014) 14001


110. D. S. Goldobin, N. V. Brilliantov, J. Levesley, M. A. Lovell, C. A. Rochelle, P. D. Jackson, A. M. Haywood, S. J. Hunter and J. G. Rees,  Non-Fickian diffusion and the accumulation of methane bubbles in deep-water sediments,  Eur. Phys. J. E 37  (2014)  45.


109. 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.


108. S. A. Matveev,  E. E. Tyrtyshnikov ,  A. P. Smirnov, and N. V. Brilliantov, A Fast Numerical Method for Solving the Smoluchowski-Type Kinetic Equations of Aggregation and Fragmentation Processes, Computational Methods and Programming, 15 (2014) 1-8 (in russian).




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, Surface-induced liquid-gas transition in salt-free solutions of model charged colloids, J. Chem.  Phys., 139 (2013) 194901.



105. A. Bodrova, A. K.Dubey, S. Puri and N. Brilliantov, Velocity distribution function and effective restitution coefficient for a granular gas of viscoelastic particles,  Phys. Rev. E. 87 (2013) 062202.


104.N. Brilliantov, N.Albers, F. Spahn and T.Poeschel, Collision dynamics of granular particles with adhesion (vol 76, 051302, 2007), Phys. Rev. E. 87 (2013) 039904.




103. 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.


102. 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



101. Ana H. F. Guimarães,  Nicole Albers, Frank Spahna,  Martin Seiß, Ernest Vieira-Neto, and  Nikolai V. Brilliantov, Icarus, 220, (2012)  660-678.


100.  Anna Bodrova and Nikolai Brilliantov “Self-Diffusion in a granular gas of rough particles”, Granular Matter,  14 (2012),  85-90


99. Bodrova, A. S., Schmidt, J., Spahn  F., and Brilliantov, N.V. , “Adhesion and collisional release of particles in dense planetary rings.” Icarus, 218, 60-68 (2012).




98. D.S. Goldobin, N.V. Brilliantov, Diffusive counter dispersion of mass in bubbly media, Phys. Rev. E 84, (2011) 056328.


97.  C. Salueña, L. Almazán and N. V. Brilliantov, Mechanisms of Cluster Formation in Force-Free Granular Gases, Math. Model. Nat. Phenom., 6, 175 (2011). 96. N. V. Brilliantov, Preface to the topical issue Granular Hydrodynamics, Math. Model. Nat. Phenom. 6, 1 (2011).





95. K. Saitoh, A. Bodrova, H. Hayakawa and N. V. Brilliantov,  Negative Normal Restitution Coefficient Found in Simulation of Nanocluster Collisions , Phys. Rev. Lett. 105, 238001 (2010).


94. T. Kranz, N. V. Brilliantov, T. Poeschel, and A. Zippelius, Correlation of spin and velocity in the homogeneous cooling state of a granular gas of rough particles, Eur. Phys. J. 179  (2010)  pp. 91-111.




93. 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


91. N.V. Brilliantov and J. Schmidt, Aggregation kinetics in a flow: The role of particle-wall collisions, Eur. Phys. J. 171 (2009) pp. 15–20.  pdf


90.  A. S. Bodrova and N. V. Brilliantov, Granular gas of viscoelastic particles in a homogeneous cooling state, Physica A,  388  (2009)  pp. 3315-3324.  pdf


89.  A. S. Bodrova,  N. V. Brilliantov and A. Yu. Loskutov, Brownian motion in granular gases of viscoelastic particles, Journal of  Experimental and Theoretical Physics, 109 (2009) pp. 946-953.  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


87. 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
86. N. Brilliantov, A.  Bodrova and F. Spahn,    
Dynamic equilibrium in aggregating and shattering systems, 
In Proceedings of the International Conference Advanced Problems in 
Mechanics  2008,     pp. 567-575. (St. Petersburg 2008).

85. T. Poeschel, N. Brilliantov, A. Formella, M. Heckel, C. Krulle, P. Muller,  C.  Saluena and T. Schwager,  Contact of granular particles and the simulation of rapid  flows using  event-drive molecular  dynamics,  European Journal of Environmental and Civil Engineering, 12  (2008) pp. 827-870.






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

82. T. Poeschel, N. Brilliantov and A. Formella, 
Granular Gas Cooling and Relaxation to the Steady State in Regard to the 
Overpopulated Tail of the Velocity Distribution,
International Journal of Modern Physics C, 18,  (2007)  701-711. 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

77. N. Brilliantov and F. Spahn,
Dust coagulation in equilibrium molecular gas,
Mathematics and Computers in Simulation, 72,  (2006) 93-98. pdf




76. T. Poeschel, T. Schwager, N. V. Brilliantov and A. Zaikin,
Rolling friction and bistability of rolling motion, 
in Powders and Grains, pp. 505-509.
Ed. by R. Garcia-Rojo, H.J. Herrmann and S. McNamara,
Balkema Publishers (New York, 2005).

75.  N. Brilliantov and T. Poeschel,
Adhesive interactions of viscoelastic spheres, 
in Powders and Grains, pp. 1247-1253.
Ed. by R. Garcia-Rojo, H.J. Herrmann and S. McNamara,
Balkema Publishers (New York, 2005).

74. T. Poeschel, N. Brilliantov, T. Schwager,
Transient clusters in granular gases, 
J. Phys. C: Condens. Mat.
, 17, (2005) S2705-S2713.


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.








71. T. Poeschel, N. Brilliantov, T. Schwager, 
Transient clusters in granular gases with a stepwise coefficient 
of restitution, 
In: L. Pareschi, G. Russo, G. Toscani (eds.), 
Modelling and Numerics of Kinetic Dissipative Systems,
Nova Sience (2004).




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




69. T.Poeschel, N.V. Brilliantov, and C. Frommel, 
Prion Kinetics, 
Biophysical Journal,  87,  (2004)  729.




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,  2004










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










61. T.Poeschel, N.V. Brilliantov, and T. Schwager, 
Violation of Molecular Chaos in dissipative gases, 
Int. J. Mod. Phys. C, 13, (2002) 1263-1272.




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




59.  N.V.Brilliantov,  V.V.Malinin,  and A.Yu.Loskutov, 
Field-Theoretical analysis of critical behavior of a symmetric binary fluid, 
Theor. Math. Phys., 130,  (2002)   p.123-135 (in russian).




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




57. N.V.Brilliantov, and V.V.Malinin, 
Liquid-liquid type phase transitions and variation of the particle  charge in colloidal solutions, 
Colloidal Journal, 64, (2002) p.261-269.










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




54. N.V.Brilliantov and V.V.Malinin, 
Additivity analysis of the electrostatic and hard-core components of  the 
Equation of state of the hard-core one-component plasma, 
Bull. Mosc. State Univ.,  Ser.3, v.2  (2001) 27-30 (in russian).










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










47. R. Ramírez, T. Poeschel, N. V. Brilliantov, T. Schwager, 
Coefficient of restitution of colliding viscoelastic spheres. 
Phys. Rev. E, 60, (1999) 4465.  pdf




46. N. V. Brilliantov, T. Poeschel, 
Rolling as a "continuing collision", 
Europ. Phys. J. B, 12, (1999) 299-301.  pdf




45. T. Poeschel, T. Schwager, and  N. V. Brilliantov, 
Rolling of a hard cylinder on a viscous plane, 
Europ. Phys. J. B, 10, (1999) 169-174.     pdf










44. N.V.Brilliantov, D.V.Kuznetsov and  R.Klein, 
Chain Collapse and Counterion Condensation in Dilute Polyelectrolyte Solutions, 
Phys. Rev. Lett., 81,  (1998) 1433.  pdf




43. N.V.Brilliantov and T.Poeschel, 
Rolling friction of a soft sphere on a hard plane. 
Europhys. Letters, 42 (1998) 511.   pdf




42. N.V.Brilliantov, 
Effective magnetic Hamiltonian and Ginzburg criterion for fluids. 
Phys. Rev. E, 58, 2628 (1998).   pdf




41. N.V.Brilliantov, Yu.A.Andrienko, P.L.Krapivsky, and J.Kurths, 
Polydisperse Adsorption: Pattern Formation Kinetics, Fractal Properties, and Transition to Order. 
Phys. Rev. E, 58, 3530-3536 (1998).  pdf




40. N.Brilliantov, and  J.Valleau, 
Thermodynamic Scaling Monte Carlo Study of the Liquid-Gas Transition in the Square-Well   Fluid. 
J. Chem. Phys., 108 (1998) 1115-1122.




39. N.Brilliantov, and J.Valleau, 
Effective Hamiltonian Analysis of Fluid Criticality and Application to the Square-Well Fluid. 
J. Chem. Phys., 108 (1998) 1123-1130.




38. N.V. Brilliantov,  C. Bagnuls and C.Bervillier, 
Peculiarity of the Coulombic Criticality? 
Phys. Lett. A, 245, 274 (1998).  pdf




37. N.V.Brilliantov, N.G.Vostrikova, and O.P.Revokatov, 
Role of electrical interactions in rotational motion of charged solute in polar solvents. 
J. Phys. Chem. B, 102, N32, 6299-6302 (1998).   pdf




36. N.V. Brilliantov, 
Accurate First-Principle Equation of State for the One-Component Plasma, 
Contrib.  to Plasma Physics, 38 (1998) N4, 489-499.  pdf










35.  N.V.Brilliantov, Yu.A.Andrienko, P.L.Krapivsky, 
Pattern formation in size-polydisperse adsorption:Transition to order. 
Physica A, 239 (1997) 267-275.  pdf










34. N.V.Brilliantov, Yu.A.Andrienko, P.L.Krapivsky, and J.Kurths, 
Fractal formation and ordering in random sequential adsorption. 
Phys. Rev. Lett., 76 (1996) 4058-4061.    pdf




33. N. V. Brilliantov, F. Spahn, J.-M. Hertzsch, and T. Poeschel, 
Model for collisions in granular gases 
Phys. Rev. E, 53 (1996) 5382-5392.   pdf




32. N.V.Brilliantov, O.P.Revokatov, 
Molecular Motion in Disordered Media.
Moscow  University  Press, Moscow (1996) 170 p. (in russian).




31. N.V.Brilliantov, F. Spahn, J.-M. Hertzsch, and T. Poeschel, 
The collisions of particles in granular systems. 
Physica A,  231 (1996)  417-424.










30. J.-M.Hertzsch, F.Spahn, and N.V.Brilliantov, 
On low-velocity collisions of viscoelastic particles. 
J. de Phys. II France, 5 (1995) 1725 - 1738.




29. F. Spahn, J.-M. Hertzsch, and N.V.Brilliantov, 
The Role of Particle-Collisions for the Dynamics in Planetary Rings. 
Chaos, Solitons and Fractals, 5 (1995) 1945 - 1964.










28. N.V.Brilliantov, Yu.A.Andrienko, and P.L.Krapivsky, 
Random Space-Filling Tiling: Fractal Properties and Kinetics. 
J. Phys. A: Math. Gen., 27 (1994) L381-L386.   pdf




27. Yu.A.Andrienko, N.V.Brilliantov, and P.L.Krapivsky, 
Pattern formation by growing droplets:  The  touch-and-stop model of growth. 
J. Stat. Phys., 75, (1994) 507-523.




26. F. Spahn, N. V. Brilliantov, J.-M. Hertzsch, and T. Poeschel, 
On collisions between granular particles: Application to planetary rings. 
Bull. Am. Astron. Soc., 26, (1994) 1143-1144 .




25. Yu. M. Petrusevitch and N. V. Brilliantov, 
Dielectric properties of protein solutions and interactionof electromagnetic fields with biosystems. 
Bull. Mosc. State Univ., Ser.3, N4 (1994) 63-67 (in russian).










24. N.V.Brilliantov, 
Phase Transitions in Solutions of Variably Ionizable Particles. 
Phys. Rev. E, 48 (1993) 4536.  pdf




23. N.V.Brilliantov, N.G.Vostrikova, V.P.Denisov,  Yu.M.Petrusievich and O.P.Revokatov , 
Influence of dielectric friction and near-surface  increase of viscosity 
on  rotational  Brownian  motion  of  charged biopolymers in solution. 
Biophysical Chemistry, 46 (1993)  227-236.










22. Yu.A.Andrienko, N.V.Brilliantov,  and P.L.Krapivsky, 
Nucleation and growth in systems with many stable phases. 
Phys.  Rev.  A, 45 (1992) 2263-2269.   pdf




21. N.V.Brilliantov, and N.G.Vostrikova 
Rotational  motion  of  Brownian  particles with surface charge. 
Molecular Physics, 77 (1992) 957.




20. N.V.Brilliantov, A.I.Rudenko, Yu.V.Shcherbakov and V.V.Zverev, 
DLTS studies of low temperature  annealing in  lithium-doped silicon. 
Physica  Status  Solidi A, 130 (1992) 53-60.










19. N.V.Brilliantov, V.P.Denisov, and P.L.Krapivsky, 
Generalized Stokes-Einstein-Debye relation for charged Brownian particles in solution. 
Physica A, 175 (1991) 293-304.




18. N.V.Brilliantov, and P.L.Krapivsky, 
Stokes laws for ions in solutions with ion-induced inhomogeneity. 
J. Phys. Chem., 95 (1991) 6055-6057.




17. N.V.Brilliantov, and P.L.Krapivsky, 
Nonscaling and source-induced scaling behaviour in aggregation 
models of movable monomers and immovable clusters. 
J. Phys. A: Math. Gen., 24 (1991) 4789-4803.










16.  N.V.Brilliantov, A.I.Rudenko, Yu.V.Shcherbakov and V.V.Zverev, 
Anomalous low temperature annealing of electron irradiated lithium-doped silicon solar cell, 
Physica  Status  Solidi A, 121 N2 (1990) K155-K158.




15. N.V.Brilliantov, V.A.Vol'sky, A.I.Kviatkievich and V.N.Timoshkin, 
Difusion of charged impurities in  semiconductors. Account for the correlation effects, 
Sov. Phys. and Technics of Semiconductors 24, N5 (1990) 860-865 (in russian).




14. A.O.Ait, M.V.Alfimov, N.V.Brilliantov, A.E.Galashin and N.K.Zaitsev, 
The development kinetics of black-and-white aghal photographic-emulsions 
analyzed with the help of stochastic model, 
Journal of scientific photography, 35, N2 (1990) 96-102 (in russian).










13. N.V.Brilliantov, A.I.Kviatkievich, Yu.M.Petrusievich and O. P. Revokatov, 
Rotational Brownian motion of polar macromolecules in  solutions. 
Dokl. Akad. Sci. USSR, 304,  N2  (1989) 340-345  (in russian).




12. N.V.Brilliantov, and P.L.Krapivsky, 
Kinetic models of clusterization of point defects in solids. 
Sov. Phys. Solid State, 31, N2 (1989) 172-178 (in russian).




11. N.V.Brilliantov,  P.L.Krapivsky, and V.A.Vol'sky, 
Diffusion-limited growth of surface structures: 
Relation between fractal dimension and growth kinetics, 
Sov. Phys. Surface, N12 (1989) 30-35 (in russian).




10. N.V.Brilliantov, and A.I.Kviatkievich 
Concentrational dependence of the diffusion coefficient for interacting defects in solids. 
Sov. Phys. Solid State,  31, N12 (1989) 63-70 (in russian).










9.  N.V.Brilliantov, A.I.Kviatkievich, Yu.M.Petrusievich and O. P. Revokatov, 
Influence  of  macromolecule s  dipolar moment on the frequency dependence 
of the NMR-relaxation  coefficients of biopolymers  in  solution. 
Radiospektroskopiya, Perm, 1988, 150-154 (in russian).




8.  N.V.Brilliantov and O.P.Revokatov, 
Relation  between molecular  correlation  times for  the rotational 
and translational motion in dense fluids, 
Radiospektroskopiya, Perm, 1985 , 259-266 (in russian).




7.  N.V.Brilliantov and O.P.Revokatov, 
Hard-spheres model and molecular motion in dense fluids, 
Izd. VINITI, Moscow, (1985), 1-115 (in russian).




6.  N.V.Brilliantov and O.P.Revokatov, 
Connection  between  pressure  and  dynamical  coefficients for  the  hard-sphere system, 
Sov. J. Phys. Chem., 58 (1984) 783-786 (in russian)




5.  N.V.Brilliantov and O.P.Revokatov, 
Relation between momentum and angular momentum  correlation  times. 
Analysis of the uncorrelated  successive binary-collision approximation. 
Chem. Phys. Letters, 104 (1984) 444-447.




4.  N.V.Brilliantov and O.P.Revokatov, 
Relation  between self-diffusion coefficient and rotational-diffusion 
coefficient in gases of moderate density. 
Sov. Phys. JETP, 60 (1984) 82-83  (in russian).




3.  Yu.A.Andrienko, N.V.Brilliantov and O.P.Revokatov, 
The temperature dependence of density and pressure  on  the melting line for inert gases. 
Sov. J. Phys. Chem., 58 (1984) 1840-1842 (in russian)


2.  N.V.Brilliantov and O.P.Revokatov, 
Autocorrelation functions of rotational and translational motion in simple liquids. 
Bull. Mosc. State Univ., Ser.3, v.24, N1 (1983) 76-79 (in russian).


1.  N.V.Brilliantov and O.P.Revokatov, 
Correlation function of momentum and angular momentum for the cell model of liquids, 
Radiospektroskopiya , Perm, 1983 ,12-19 (in russian).










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Department of Mathematics
University of Leicester
University Road
Leicester LE1 7RH
United Kingdom

Tel.: +44 (0)116 252 3917
Fax: +44 (0)116 252 3915

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