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Daniel Marinov Dantchev


Position: Professor, Head of  Department

Mathematical Modeling and Numerical Simulations

Room number: 310

Phone: +359 2 979 6447



Scientific degrees, institution, year:



M.Sc.,  Sofia University, 1985

Ph.D., Sofia University, 1990

D.Sc., IMech - BAS, 2005

Fields of Research:


mathematical modeling, statistical mechanics, thermodynamics,  Casimir effect, phase transitions, nanotechnology


Extended Information



From the article by R. Evans and J. R. Henderson in J. Phys.: Condens. Matter 21 (2009) 474220

Ode to Richard Palmer and other travellers on the imaginary axis

Beware this road to Hell
Strange asymmetrical poles lie waiting
Is it really imaginary? For
Surely the integrand is odd.
Fear the curse of Derjaguin
Wonder at Casimir and Lifshitz
Trust in Widom and Enderby
To Verlet via critical Dantchev.
Risking travails of Cauchy’s Theorem
Armed only with the RPA
Taming the asymmetrical poles and
Thereby saving the correlation length.


But, be careful ... David Goodstein wrote in the book States of Matter, 1975, Dover N.Y.

"Ludwig Boltzmann, who spent much of his life studying statistical mechanics, died in 1906, by his own hand.

Paul Ehrenfest, carrying on the work, died similarly in 1933.

Now it is our turn to study statistical mechanics.

Perhaps it will be wise to approach the subject cautiously" ...


Recent Publications:


Daniel M Dantchev, Vassil M Vassilev and Peter A Djondjorov,


Exact results for the behavior of the thermodynamic Casimir force in a model with a strong adsorption,

Journal of Statistical Mechanics: Theory and Experiment, (2016) 093209,,

arXiv:1603.08435v1 [cond-mat.stat-mech].


Galin Valchev and Daniel Dantchev,

Critical and near-critical phase behavior and interplay between the thermodynamic Casimir and van der Waals forces in a confined nonpolar fluid medium with competing surface and substrate potentials,

Physical Review E 92, 012119 (2015)

DOI: 10.1103/PhysRevE.92.012119



Daniel M Dantchev, Vassil M Vassilev and Peter A Djondjorov,

Exact results for the temperature-field behavior of the GinzburgLandau Ising type mean-field model,

J. Stat. Mech. (2015) P08025




Daniel Dantchev,  Jonathan Bergknoff, and Joseph Rudnick,

Reply to “Comment on ‘Casimir force in the O(n → ∞) model with free boundary conditions’ ”,

Phys. Rev. E 91, 026102 (2015)

DOI: 10.1103/PhysRevE.91.026102



Daniel Dantchev,  Jonathan Bergknoff, and Joseph Rudnick

Casimir force in the O(n→∞) model with free boundary conditions,

Phys. Rev. E 89, 042116 (2014)



Daniel Dantchev and Galin Valchev

Surface integration approach: A new technique for evaluating geometry dependent forces between objects of various geometry and a plate,

Journal of Colloid and Interface Science  372 (2012) pp.148-163, doi:10.1016/j.jcis.2011.12.040


Jonathan Bergknoff, Daniel Dantchev, and Joseph Rudnick,

Casimir force in the rotor model with twisted boundary conditions

Physical Review E 84, 041134 (2011)


D. Dantchev, G. Valchev, and K. Kostadinov, On the interaction of a micro object with the working arm of a gripper immersed in a nonpolar fluid,Proceedings of the 7th International Conference on Multi-Material Micro Manufacture. Edited by Bertrand Fillon, Chantal Khan-Malek and Stefan Dimov. ISBN: 978-981-08-6555-9; doi:10.3850/978-981-08-6555-9_160, pp. 184-187

Vladimir Stavrov, Emil Tomerov, Chavdar Hardalov, Daniel Danchev, Kostadin Kostadinov, Galina Stavreva, Evstati Apostolov, Assen Shulev, Anna Andonova and Mohammed Al-Wahab, Low Voltage Thermo-mechanically Driven Monolithic Microgripper with Piezoresistive Feedback , Book Series IFIP Advances in Information and Communication Technology, Book Precision Assembly Technologies and Systems, Springer Boston, 2010, ISSN1868-4238 (Print) 1868-422X (Online), Volume 315/2010, ISBN978-3-642-11597-4, DOI10.1007/978-3-642-11598-1_24


Daniel Dantchev, Joseph Rudnick, and M. Barmatz, Finite-size effects in presence of gravity: The behavior of the susceptibility in 3He and 4He films near the liquid-vapor critical point, Physical Review E 80 (2009) 031119;

Dantchev D., K. Kostadinov, On the environmental influence on the force between two metallic plates of a gripper immersed in a nonpolar fluid: the role of the temperature and the chemical potential, Proceedings of the 4M/ICOMM International Conference on Multi-Material Micro Manufacture (4M/ICOMM 2009), Karlsruhe, Germany, 23rd - 25th September 2009, 297-300, DOI: 10.1243/17547164C0012009060.

D. Dantchev, K. Kostadinov, On the force between two metallic plates of a gripper immersed in a nonpolar fluid, 4M 2008 International conference on Multi- Material Micro Manufacture (Cardiff, Great Britain), Edited by St. Dimov and W. Menz, Cardiff, UK, 9th - 11th September 2008, Whittles Publishing, ISBN 978-1904445-76-0, pp. 279-282 (2008).

Daniel Dantchev and Daniel Grüneberg, Casimir force in O(n) lattice models with a diffuse interface, Phys. Rev. E 79, 041103 (2009); ( 2008).

D. Dantchev, Frank Schlesener, and S. Dietrich, Interplay of critical Casimir and dispersion forces, Phys. Rev. E, 76, 011121 (2007).

D. Dantchev, J. Rudnick and M. Barmatz, Finite-size effects on the behavior of the susceptibility in van der Waals films bounded by strongly absorbing substrates, Phys. Rev. E 75, 011121 (2007).

D. Dantchev, H. W. Diehl and Daniel Grüneberg,Excess free energy and Casimir forces in systems with long-range interactions of van-der-Waals type: General considerations and exact spherical-model results, Phys. Rev. E, 73, 016131 (2006).

D. Dantchev, K. Kostadinov, On Forces and Interactions at Small Distances in Micro and Nano Assembly Process, 4M 2006 International conference on Multi- Material Micro Manufacture (Grenoble, France), Elsevier, pp. 241-245 (2006).

D. Dantchev, M. Krech, and S. Dietrich, Thermodynamic Casimir Force in Models of 4He Films, Phys. Rev. Lett. 95, 259701 (2005).

H. Chamati and D. Dantchev,Critical Casimir forces for O(n) systems with long-range Interaction in the spherical limit, Phys. Rev. E 70, 066106 (2004).

D. Dantchev and M. Krech,The critical Casimir force and its fluctuations in lattice spin models: exact and Monte Carlo results, Phys. Rev. E 69, 046119 (2004).

D. Dantchev and H. Chamati, Casimir force, excess free energy and C-function in O(n) systems with long-range interactions in the limit,ICTP, Trieste (Italy), preprint IC/2004/32, (2004).

D. Dantchev and J. G. Brankov, On the finite-size behavior of systems with asymptotically large critical shift, J. Phys. A 36, 8915 (2003).

D. Dantchev, M. Krech and S. Dietrich, Universality of the thermodynamic Casimir effect, Phys. Rev. E 68, 066120 (2003).

D. Dantchev, M. Krech and S. Dietrich, Universality of the thermodynamic Casimir effect, в "Annual Report 2002 of the Institute of Theoretical and Applied Physics at the University of Stuttgart and of the Max-Planck Institute for Metal Research, Stuttgart", p. 64; Германия (2003).

H. Chamati and D. Dantchev, Renormalization group treatment of the scaling properties of finite systems with subleading long-range interaction, Eur. Phys. J. B 26, 89-99 (2002).

D. Dantchev, Two-point correlation function in systems with van der Waals type interaction, Eur. Phys. J. B 23, 211-219, (2001).

D. Dantchev and J. Rudnick, Subleading long-range interactions and violations of finite size scaling, Eur. Phys. J. B 21, 251-268(2001).

H. Chamati and D. M. Danchev, Casimir amplitudes in a ferromagnetic model with long-range interactions, "Proceedings of the Eleventh International School on Condensed Matter Physics", 3-8 September, 2000, Varna Eds. J. Marshall, A. Petrov, N. Kirov, Redwood Books, Trowbridge, Wiltshire, UK, (2001).

H. Chamati, D. M. Danchev and N. S. Tonchev, Some new exact critical-point amplitudes, Physics of Elementary Particles and Atomic Nuclei 31, 171 - 176 (2000).

H. Chamati, D. M. Danchev and N. S. Tonchev, Casimir amplitudes in a quantum spherical model with long-range interaction, Eur. Phys. J. B 14, 307 - 316 (2000).


Jordan G. Brankov, Daniel M. Danchev, and Nicholay S. Tonchev,


World Scientific, Singapore, 2000.
ISBN 981-02-3925-4

The monography is volume 9 of the Series in Modern Condensed Matter Physics of "World Scientific".




Recent projects


DN 02/8 with Bulgarian NSF 2016-2019

Exact and numerical results for the behavior of finite-dimensional inhomogeneous

statistical-mechanical systems exhibiting phase transitions



Extended Information (citations)


Modified date:13-03-2017