Physical, Chemical and Biochemical Kinetics
Current members
Press Releases and Media Reactions

New capillarity effects in ideal gases solve an old mathematical mystery (November 24, 2016)

Unsolved after 116 years: International academics to discuss Hilbert's sixth problem EurecAlert, Apr 11, 2016

Mystery of how Saturn's rings formed is solved: Rock and ice were repeatedly smashed together to create planetary wonder. Daily Mail, Aug 6, 2015 .

Famous Fluid Equations Are Incomplete
A 115year effort to bridge the particle and fluid descriptions of nature has led mathematicians to an unexpected answer. QuantaMagazine, July 21, 2015. 
Breakthrough study discovers six changing faces of 'global killer' bacteria, September 30, 2014.

Mathematicians Solve DecadeOld Debate On Regulation of Protein Production by microRNAs in Cells

Saturn Imitates Louis XIV, NY Times, February 28, 2008.
Some recent publications

A.N. Gorban, I.V. Karlin, Beyond Navier–Stokes equations: capillarity of ideal gas, Contemporary Physics, 2016, 58(1),·2017, 7090.

Brilliantov NV, Budkov YA, Seidel C. Generation of mechanical force by grafted polyelectrolytes in an electric field: application to polyelectrolytebased nanodevices. Phil. Trans. R. Soc. A. 2016 Nov 13;374(2080):20160143.

Tom AM, Vemparala S, Rajesh R, Brilliantov NV. Mechanism of chain collapse of strongly charged polyelectrolytes. Physical Review Letters. 2016 Sep 26;117(14):147801.

Davidchack RL, Laird BB, Roth R. Hard spheres at a planar hard wall: Simulations and density functional theory. Condensed Matter Physics. 2016;19(2):23001.


Bearup D, Benefer CM, Petrovskii SV, Blackshaw RP. Revisiting Brownian motion as a description of animal movement: a comparison to experimental movement data. Methods in Ecology and Evolution. 2016 Dec 1;7(12):152537.

A.N. Gorban, T.A. Tyukina, E.V. Smirnova, L.I. Pokidysheva, Evolution of adaptation mechanisms: Adaptation energy, stress, and oscillating death, Journal of Theoretical Biology 405 (2016), 127139.

Tilles PF, Petrovskii SV, Natti PL. A random walk description of individual animal movement accounting for periods of rest. Royal Society Open Science. 2016 Nov 1;3(11):160566.

PFC Tilles, SV Petrovskii, How animals move along? Exactly solvable model of superdiffusive spread resulting from animal’s decision making, Journal of mathematical biology 73 (1),2016,227–255

PFC Tilles, SV Petrovskii, Statistical mechanics of animal movement: Animals's decisionmaking can result in superdiffusive spread, Ecological Complexity 22, 2015, 8692.

AN Gorban, GS Yablonsky, Three Waves of Chemical Dynamics, Mathematical Modelling of Natural Phenomena 10 (5), 15.

AN Gorban, VN Kolokoltsov, Generalized Mass Action Law and Thermodynamics of Nonlinear Markov Processes, Mathematical Modelling of Natural Phenomena 10 (5), 1646.

AN Gorban, N Jarman, E Steur, C van Leeuwen, I Tyukin, Leaders do not look back, or do they? Math. Model. Nat. Phenom. 10 (3), 212231.

V Stadnichuk, A Bodrova, N Brilliantov, Smoluchowski aggregation–fragmentation equations: Fast numerical method to find steadystate solutions, International Journal of Modern Physics B 29 (29), 2015 1550208.

N. 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, PNAS, August 4, 2015, vol. 112, no. 31, 95369541.

N.V. Brilliantov, A.V. Pimenova, D.S. Goldobin, A dissipative force between colliding viscoelastic bodies: Rigorous approach, EPL (Europhysics Letters) 109 (1) (2015), 14005

AN Gorban, Detailed balance in microand macrokinetics and microdistinguishability of macroprocesses, Results in Physics 4 (2014), 142147

DS Goldobin, NV Brilliantov, J Levesley, MA Lovell, CA Rochelle, PD Jackson, AM Haywood, SJ Hunter, JG Rees, NonFickian diffusion and the accumulation of methane bubbles in deepwater sediments, The European Physical Journal E 37 (5), 16 (2014).

SV Lishchuk, Effective surfaceshear viscosity of an incompressible particleladen fluid interface, Physical Review E 89 (4), 043003
 AN Gorban, I Karlin, Hilbert’s 6th Problem: exact and approximate hydrodynamic manifolds for kinetic equations, Bulletin of the American Mathematical Society 51 (2), 186246 (2014).
 Spahn, F., Vieira Neto, E., Guimarães, A.H.F., Gorban, A.N., Brilliantov, N.V. A statistical model of aggregate fragmentation, New Journal of Physics 16, Article number 013031, 2014.
 N. Morozova, A. Zinovyev, N. Nonne, L.L. Pritchard, A. N. Gorban, A. HarelBellan, Kinetic signatures of microRNA modes of action, RNA 18 (9), 16351655 (2013).
 YA Budkov, AI Frolov, MG Kiselev, NV Brilliantov, Surfaceinduced liquidgas transition in saltfree solutions of model charged colloids, The Journal of chemical physics 139 (19) (2013), 194901.
 A. N. Gorban, Thermodynamic Tree: The Space of Admissible Paths, SIAM J. Applied Dynamical Systems, Vol. 12, No. 1 (2013), pp. 246278.
 AN Gorban, EM Mirkes, GS Yablonsky, Thermodynamics in the limit of irreversible reactions, Physica A, 2013 392 (6), 13181335 (2013).
 DS Goldobin, EV Shklyaeva, Localization and advectional spreading of convective currents under parametric disorder, Journal of Statistical Mechanics: Theory and Experiment 2013 (09), P09027
 I Halliday, SV Lishchuk, TJ Spencer, G Pontrelli, CM Care, Multiplecomponent lattice Boltzmann equation for fluidfilled vesicles in flow, Physical Review E 87 (2), 023307 (2013).
 BB Laird, A Hunter, RL Davidchack, Interfacial free energy of a hardsphere fluid in contact with curved hard surfaces, Physical Review E 86 (6), 060602 (2012).
 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.
 SV Lishchuk, Role of threebody interactions in formation of bulk viscosity in liquid argon, The Journal of chemical physics, 136, 164501 (2012).
 DS Goldobin and N. Brilliantov, Diffusive counter dispersion of mass in bubbly media, Phys. Rev. E 84, 056328 (2011).
 DS Goldobin, Scaling of transport coefficients of porous media under compaction, EPL (Europhysics Letters) 95, 64004 (2011).
 RL Davidchack, Hard spheres revisited: Accurate calculation of the solid–liquid interfacial free energy, The Journal of chemical physics 133 (23), 234701 (2010).
 A. N. Gorban, O. Radulescu, A. Y. Zinovyev, Asymptotology of chemical reaction networks, Chemical Engineering Science 65 2310–2324 (2010).
 F Postberg, S Kempf, J Schmidt, N Brilliantov, A Beinsen, B Abel, U Buck, R Srama, Sodium salts in Ering ice grains from an ocean below the surface of Enceladus, Nature 459 (7250), 10981101 (2009).
Projects with industry
Quaternary hydrate stability with British Geological Survey, University of Bristol, University of Leeds
Overall aim – To explore how the volume and stability of the global methane hydrate reservoir has changed since the last interglacial and to use this information to assess the potential for the largescale destabilisation of methane hydrates in the future.
D.S. Goldobin, S.J. Hunter, A.M. Haywood, N.V. Brilliantov, J. Levesley, M.A. Lovell, A.J. Ridgwell, C.A. Rochelle, P.D. Jackson, J.G. Rees, Forecasting diffusive formation of freegas methane layers in sea sediments, Proc. of the 7th Intl. Conf. on Gas Hydrates, 00471 (ICGH 2011), Edinburgh, Scotland, UK, July 1721, 2011.
SJ Hunter, DS Goldobin, AM Haywood, A Ridgwell, JG Rees, Sensitivity of the global submarine hydrate inventory to scenarios of future climate change, Earth and Planetary Science Letters 367, 105115, 2013.
PRESENTATION: Diffusive Evolution of Gaseous and Hydrate Horizons of Methane in Seabed
Lattice Boltzmann modelling of permeability and relative permeability of porous media for multiphase flows, with Weatheford
We apply lattice Boltzmann method (LBM) to study the properties of and multicomponent reacting fluid flow through granular materials. The aim is to evaluate permeability for onecomponent fluid and relative permeabilities (and capillary pressure effects) for twocomponent fluid and to use this permeability model as a constructive element of the multiscale models of the multicomponent reactive flows in complex nonuniform media with microstructure. The problem of modelling of multicomponent reactive flows in complex nonuniform media with microstructure is essentially important for Earth sciences. 
The data of simulated hydrodynamic fields (pressure ) for Dry Berea sandstone 