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Head of the group
Scientific research staff
Research fields
Scientific collaboration
Meetings organized by the group
Recent grants
Recent editorial activity
Selected publications
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ZP10 Nonlinear Dynamics and Computer Simulations

Head of the group

Prof. Dr. Habil. Krzysztof Witold Wojciechowski home page
Coordinator of the Centre for Complex Systems and Smart Materials (COSSMAT)
Co-editor of the Computational Methods in Science and Technology
Member of the Editorial Board of TASK Quarterly

Scientific research staff

Research fields

  1. Application and development of computer simulation techniques (Monte Carlo, Molecular Dynamics, Brownian Dynamics, and hybrid methods) to study structural, thermodynamic and dynamic properties of many body systems:
    1. statistical geometry studies of systems with hard core interactions,
    2. modelling of brownian particle systems and colloidal suspensions,
    3. modelling of granular systems.
  2. Investigations of aperiodic structures:
    1. conformal crystals: theoretical analysis and numerical simulations of the classical n-body system submerged within a strong gravitational field,
    2. degenerate crystals: theoretical studies and computer simulations of systems of positive ground state entropy per particle,
    3. quasicrystals.
  3. Studies of complexity of model systems.
  4. Physics of auxetics: theoretical and computer simulation studies of mechanisms leading to negative Poisson's ratios and modelling of auxetics.
  5. Fractional calculus: applications of fractional derivatives in physics.

Scientific collaboration

Recent scientific meetings co-organized by the members of the group

6th International Workshop on Functional and Nanostructured Materials, FNMA 2009, L'Aquila-Sulmona, Italy, 27-30 September, 2009

5th International Workshop on Functional and Nanostructured Materials, FNMA 2008, L'viv, Ukraine, 31 August - 6 September, 2008
US-Poland-Workshop on Interfacial Phenomena and Advanced Materials, Gdansk, Poland, June 3-6, 2008
The International Symposium on Trends in Continuum Physics, TRECOP 2007, L'viv, Ukraine, 16 - 20 September 2007

4th International Workshop on Functional and Nanostructured Materials, FNMA 2007, Gdansk, Poland, 1 - 6 September, 2007

3rd International Workshop on Functional Materials, FMA 2006, Athens, Greece, 17 - 23 September, 2006

U.S. Poland Workshop on Nanoscience and Nano Structured Materials, Adam Mickiewicz University, Poznan, Poland, 26.06 28.06.2006

2nd Advanced Research Workshop on Auxetics and Other Unusual Systems, Poznan Bedlewo, Poland, 19 25 August 2005

Advanced Research Workshop on Auxetics and Related Systems, Poznan Bedlewo, Poland, 27 30 June 2004

Recent grants:

  1. NN202 1353 33 MNiSzW (at IFM PAN, 2007 2008, PhD grant for MSc. Eng. J. W. Narojczyk), Influence of the particles size polydispersity on the elastic constants of selected molecular models, project leader: K. W. Wojciechowski;
  2. N202 070 32/1512 MNiSzW (at IFM PAN, 2007 2009), Physical properties of soft spheres and microgels, project leader: A. C. Branka;
  3. KBN 1P03B09726 (at IFM PAN, 2004 2005, PhD grant for MSc. M. Kowalik), Computer simulation studies of the Poisson's ratio of selected hard body systems, project leader: K. W. Wojciechowski;
  4. Working Package WP6 at the Centre of Excellence Magnetic and Molecular Materials for Future Electronics (at IFM PAN, 2002 2005), Auxetics and Related Systems, project leader: K. W. Wojciechowski;
  5. KBN 4T11F01023 (at Poznan Supercomputing and Networking Center, 2002 2005), Computer simulations of auxetics, project leader: K. W. Wojciechowski;

Recent editorial activity

C. Remillat, F. Scarpa, K. W. Wojciechowski, PHYS STATUS SOLIDI B, vol. 246 (9), 2009. Preface, 2nd Conference and 5th Workshop on Auxetics and Other Unusual Systems, pp 2007-2009.

Jaroslaw Rybicki and Krzysztof W. Wojciechowski, 5th Workshop on Functional and Nanostructured Materials, Journal of Non-Crystalline Solids, vol. 355(24-27), 2009. 5th Conference on Functional and Nanostructured Materials, Foreword, J NON CRYST SOLIDS 355, Page VII, 2008.

Joseph N. Grima, Krzysztof W. Wojciechowski, PHYS STATUS SOLIDI B, vol. 245 (11), 2008. Preface: phys. stat. sol. (b) 245/11 (pp. 2369-2372).

Jaroslaw Rybicki, Krzysztof W. Wojciechowski, Nikolaos Gouskos, Journal of Non-Crystalline Solids, vol. 354(35-39), 2008. 4th Conference on Functional and Nanostructured Materials, Foreword, J NON CRYST SOLIDS 354, Pages vii-viii, 2008.

Bogdan T. Maruszewski, Wolfgang Muschik and Krzysztof W. Wojciechowski, Journal of Mechanics of Materials and Structures, Vol. 3, No. 6, 2008. International Symposium on Trends in Continuum Physics (TRECOP 2007) Preface, Vol. 3, 1033-1035, AUG 2008.

Ch. W. Smith, K. W. Wojciechowski, PHYS STATUS SOLIDI B, vol. 245 (3), 2008. Auxetics and related systems Preface, PHYS STATUS SOLIDI B 245 (3): 486 488 MAR 2008

K. W. Wojciechowski, A. Alderson, K. L. Alderson, B. Maruszewski, F. Scarpa, PHYS STATUS SOLIDI B, vol. 244 (3), 2007. Auxetics and related systems Preface, PHYS STATUS SOLIDI B 244 (3): 813 816 MAR 2007

J. Rybicki, K. W. Wojciechowski, J NON CRYST SOLIDS, vol. 352 (40 41), 2006. Physics of disordered systems 3 Foreword, J NON CRYST SOLIDS 352 (40 41): VII VIII NOV 1 2006

K. W. Wojciechowski, A. Alderson, A.C. Branka, K. L. Alderson, PHYS STATUS SOLIDI B, vol. 242 (3), 2005. Auxetics and related systems Preface, PHYS STATUS SOLIDI B 242 (3): 497 497 MAR 2005.

K. W. Wojciechowski, COMPUTATIONAL METHODS IN SCIENCE AND TECHNOLOGY, vol. 10 (2), 2004. Preface, COMPUTATIONAL METHODS IN SCIENCE AND TECHNOLOGY 10 (2): 115 116 DEC 2004.

Selected publications

    2009

  1. Branka AC, Heyes DM, Wojciechowski KW, Auxeticity of cubic materials, Physica Status Solidi B246, 2063-2071 (2009)
  2. Heyes DM, Branka AC, Interactions between microgel particles, Soft Matter 5, 2681, 2009.
  3. Heyes DM, Branka AC, Density and pressure dependence of the equation of state and transport coefficients of soft-sphere fluids, Molecular Physics 107(4-6), 309-319 (2009).
  4. Kedziora P, Wojciechowski KW, Nonlinear Dielectric Relaxation in the Isotropic Phase and Mesophases of Cholesteryl Oleyl Carbonate, J. Phys. Chem. B113, 9123-9128 (2009).
  5. Nakanishi H., Bishop KJM, Kowalczyk B, Nitzan A, Weiss EA, Tretiakov KV, Apodaca MM, Klajn R, Stoddart JF, and Grzybowski BA, Photoconductance and inverse photoconductance in films of functionalized metal nanoparticles, Nature 460, 371-375 (2009).
  6. Strek T, Kedziora P., Maruszewski BM, Pozniak AA, Tretiakov KV, and Wojciechowski KW, Finite element analysis of auxetic obstacle deformation and fluid flow in a channel, Journal of Non-Crystalline Solids 355, 1387 (2009).
  7. Tretiakov KV, Negative Poisson's ratio of two-dimensional hard cyclic tetramers, Journal of Non-Crystalline Solids 355, 1435 (2009).
  8. Tretiakov KV, Bishop KJM, and Grzybowski BA, On the dependence between forces and dissipation rates mediating Dynamic Self-Assembly, Soft Matter 5, 1279 (2009).
  9. Tretiakov KV, Bishop KJM, and Grzybowski BA, Additivity of the excess energy dissipation rate in a dynamically self-assembled system, Journal of Physical Chemistry B 113, 7574 (2009).
  10. Tretiakov KV, Bishop KJM, Kowalczyk B, Jaiswal A, Poggi MA, and Grzybowski BA, Mechanism of the Cooperative Adsorption of Oppositely Charged Nanoparticles, Journal of Physical Chemistry A 113, 3799 (2009).

    2008

  11. Branka AC, Heyes DM, Thermodynamic and mechanical stability of many-body systems interacting with coarse-grained bounded potentials, Physica Status Solidi B, Nov. 2008; 245(11) 2415-2421.
  12. Branka AC, Wojciechowski KW, Auxeticity of cubic materials: The role of repulsive core interaction, Journal of Non-Crystalline Solids 354, 4143-4145 (2008).
  13. Dudek MR, Wojciechowski KW, Magnetic films of negative Poisson's ratio in rotating magnetic fields, Journal of Non-Crystalline Solids 354, 4304-4308 (2008).
  14. Heyes DM, Branka AC, Transport coefficients of soft repulsive particle fluids, J PHYS-CONDENS MAT 20 (11): art. no. 115102 MAR 19 2008
  15. Heyes DM, Branka AC, Self-diffusion coefficients and shear viscosity of inverse power fluids: from hard- to soft-spheres, PHYS CHEM CHEM PHYS 10 (27): 4036-4044 2008
  16. Imre AR, Drozd-Rzoska A, Kraska T, Rzoska SJ, Wojciechowski KW, Spinodal strength of liquids, solids and glasses, Journal of Physics-Condensed Matter 20 (24): art. no. 244104 JUN 18 2008
  17. Kowalik M, Wojciechowski KW, The free energy of hard dimer solids revisited, Journal of Non-Crystalline Solids 354 4354-4358 (2008).
  18. Kowalik M, Wojciechowski KW, Elastic properties of orientationally disordered crystal of mono- and polydisperse hard dumbbells in three dimensions, Materials Science Poland 26(4), 977-82 (2008)
  19. Lakes R, Wojciechowski KW, Negative compressibility, negative Poisson's ratio, and stability, Physica Status Solidi B, Published Online: Feb 4 2008 2:35AM DOI: 10.1002/pssb.200777708
  20. Narojczyk JW, Alderson A, Imre AR, Scarpa F, Wojciechowski KW, Negative Poisson's ratio behavior in the planar model of asymmetric trimers at zero temperature, Journal of Non-Crystalline Solids 354, 4242-4248 (2008).
  21. Narojczyk JW, Wojciechowski KW, Elastic properties of the fcc crystals of soft spheres with size dispersion at zero temperature, Physica Status Solidi B, 245, No. 11, 2463-2468, 2008.
  22. Narojczyk JW, Wojciechowski KW, Elasticity of periodic and aperiodic structures of polydisperse dimers in two dimensions at zero temperature, Physica Status Solidi B, Nov. 2008; 245(11) 2463-2468.
  23. Narojczyk JW, Wojciechowski KW, Influence of size polydispersity on the elastic constants of fcc crystals of static soft spheres, Materials Science Poland 26(4), 1001-7 (2008)
  24. Strek T, Maruszewski B, Narojczyk JW, Wojciechowski KW, Finite element analysis of auxetic plate deformation, Journal of Non-Crystalline Solids 354, 4475-4480 (2008).
  25. Tretiakov KV, Wojciechowski KW, Poisson's ratio of binary and polydisperse soft disk crystals, Journal of Non-Crystalline Solids 354, 4484-4487 (2008).
  26. Tretiakov KV, Wojciechowski KW, Elastic Properties of Soft Sphere Crystal from Monte Carlo Simulations, Journal of Physical Chemistry B, 2008; 112: 1699-1705, Journal Paper

    2007

  27. Dudek MR, Grabiec B, Wojciechowski KW, Molecular dynamics simulations of auxetic ferrogel, Reviews on Advanced Materials Science, May 2007; 14(2): 167-173 , Journal Paper
  28. Heyes DM, Branka AC, Physical properties of soft repulsive particle fluids , Physical Chemistry Chemical Physics, Nov. 2007; 9(41): 5570-5575, Journal Paper
  29. Narojczyk JW, Wojciechowski KW, Elastic properties of two-dimensional soft polydisperse trimers at zero temperature, Physica Status Solidi B 2007; 244(3): 943-954, Wiley VCH, Conference Paper; Journal Paper
  30. Tretiakov KV, Wojciechowski KW, Elastic properties of soft disk crystals, Reviews on Advanced Materials Science, May 2007; 14(2): 104-108, Journal Paper
  31. Tretiakov KV, Wojciechowski KW, Poisson's ratio of simple planar 'isotropic' solids in two dimensions, Physica Status Solidi B 2007; 244(3): 1038-1046, Wiley VCH, Conference Paper; Journal Paper
  32. Tretiakov KV, Wojciechowski KW, Poisson's ratio of a soft sphere system, Materials Science-Poland 2007; 25(2): 541-544, Journal Paper
  33. Wojciechowski KW, Alderson A, Alderson KL, Maruszewski B, and Scarpa F, Papers presented at the 2nd Workshop on Auxetics and Related Systems - Bedlewo near Poznan, Poland, 19-23 August 2005 - Preface, Physica Status Solidi B, Mar 2007; 244(3): 813-815, Wiley VCH, Conference Paper; Journal Paper

    2006

  34. Branka AC, Heyes DM, Thermodynamic properties of inverse power fluids, Physical Review E Statistical, Nonlinear, and Soft Matter Physics. Sept. 2006; 74(3): 31202-1-11, APS through AIP, Journal Paper
  35. Heyes DM, Cass M, Branka AC, Percolation threshold of hard-sphere fluids in between the soft-core and hard-core limits, Molecular Physics, Oct-Nov 2006; 104(20-21): 3137-3146 Taylor & Francis, Journal Paper
  36. Heyes DM, Cass M, Branka AC, Okumura H, First derivative of the hard-sphere radial distribution function at contact, Journal of Physics: Condensed Matter. 16 Aug. 2006; 18(32): 7553-8, IOP Publishing, Journal Paper
  37. Miranda CR, Tretiakov KV, Scandolo S, A computational study of elastic properties of disordered systems with voids, Journal of Non Crystalline Solids. 1 Nov. 2006; 352(40-41): 4283-6, Elsevier, Journal Paper
  38. Narojczyk JW, Wojciechowski KW, Computer simulation of Poisson's ratio of soft polydisperse discs at zero temperature, Materials Science-Poland. 2006; 24(4): 921-927
  39. Narojczyk JW, Wojciechowski KW, Elastic properties of two-dimensional soft discs of various diameters at zero temperature, Journal of Non Crystalline Solids. 1 Nov. 2006; 352(40-41): 4292-8, Elsevier, Journal Paper
  40. Tretiakov KV, Wojciechowski KW, Elastic properties of the degenerate crystalline phase of two-dimensional hard dimers, Journal of Non Crystalline Solids. 1 Nov. 2006; 352(40-41): 4221-8, Elsevier, Journal Paper
  41. Wojciechowski KW, Kowalik M, Poisson's ratio of orientationally disordered hard dumbbell crystal in three dimensions, Journal of Non Crystalline Solids. 1 Nov. 2006; 352(40-41): 4269-78, Elsevier, Journal Paper
  42. Wojciechowski KW, Narojczyk JW, Influence of disorder on the Poisson's ratio of static solids in two dimensions, Reviews on Advanced Materials Science. 2006; 12(2): 120-126, Journal Paper

    2005

  43. Branka AC, Heyes DM, The effects of particle softness on the dynamics of molecular and colloidal systems, Molecular Physics. 10 Sept. 2005; 103(17): 2359-73, Taylor & Francis, Journal Paper
  44. Heyes DM, Branka AC, Transport coefficients of soft sphere fluids, Physical Chemistry Chemical Physics. 21 March 2005; 7(6): 1220-7, R. Soc. Chem, Journal Paper
  45. Kowalik M, Wojciechowski KW, Poisson's ratio of degenerate crystalline phases of three dimensional hard dimers and hard cyclic trimers, Physica Status Solidi B. March 2005; 242(3): 626-31, Wiley VCH, Conference Paper; Journal Paper
  46. Novikov VV, Wojciechowski KW, Extreme viscoelastic properties of composites of strongly inhomogeneous structures due to negative stiffness phases, Physica Status Solidi B. March 2005; 242(3): 645-52, Wiley VCH, Conference Paper; Journal Paper
  47. Novikov VV, Wojciechowski KW, Komkova OA, Thiel T, Anomalous relaxation in dielectrics. Equations with fractional derivatives, Materials Science. 2005; 24(4): 977-84, Wydawnictwo Politech. Wroclawskiej, Journal Paper
  48. Tretiakov KV, Wojciechowski KW, Monte Carlo simulation of two-dimensional hard body systems with extreme values of the Poisson's ratio, Physica Status Solidi B. March 2005; 242(3): 730-41, Wiley VCH, Conference Paper; Journal Paper
  49. Tretiakov KV, Wojciechowski KW, Poisson's ratio of the fcc hard-sphere crystal at high densities, Journal of Chemical Physics. 15 Aug. 2005; 123(7): 74509-1-8, AIP, Journal Paper
  50. Wojciechowski KW, Monte Carlo simulations of model particles forming phases of negative poisson ratio in Properties and Applications of Nanocrystalline Alloys from Amorphous Precursors, Eds. B. Idzikowski, P. Svec, and M. Miglierini, Kluwer Academic Publishers, Dordrecht, 2005, pp. 241-252
  51. Wojciechowski KW, Poisson's ratio of anisotropic systems, Computational Methods in Science and Technology. 2005; 11(1): 73-79

    2004

  52. Branka AC, Heyes DM, Time correlation functions of hard-sphere and soft sphere fluids, Physical Review E Statistical, Nonlinear, and Soft Matter Physics. Feb. 2004; 69(2): 21202-1-12, APS through AIP, Journal Paper
  53. Branka AC, Heyes DM, Equation of state of inverse power fluids, Molecular Physics. 10 20 Oct. 2004; 102(19-20): 2049-56, Taylor & Francis, Journal Paper
  54. Heyes DM, Rickayzen G; Branka AC, Static properties and time correlation functions of fluids with steeply repulsive potentials, Molecular Physics. 10-20 Oct. 2004; 102(19-20): 2057-70, Taylor & Francis, Journal Paper
  55. Tretiakov KV, Scandolo S, Thermal conductivity of solid argon from molecular dynamics simulations, Journal of Chemical Physics. 22 Feb. 2004; 120(8): 3765-9, AIP, Journal Paper
  56. Tretiakov KV, Scandolo S, Thermal conductivity of solid argon at high pressure and high temperature: a molecular dynamics study, Journal of Chemical Physics. 8 Dec. 2004; 121(22): 11177-82, AIP, Journal Paper
  57. Wojciechowski KW, Simple models of unusual elastic properties, AIP Conference Proceedings. 2004; (705): 735-8, AIP, Conference Paper; Journal Paper
  58. Wojciechowski KW and Frenkel D, Tetratic phase in the planar hard square system?, Computational Methods in Science and Technology 10(2), 235-255 (2004).

    2003

  59. Branka AC, Kowalik M, Wojciechowski KW, Generalization of the Nose Hoover approach, Journal of Chemical Physics. 22 July 2003; 119(4): 1929-36, AIP, Journal Paper
  60. Wojciechowski KW, Non chiral, molecular model of negative Poisson ratio in two dimensions, Journal of Physics A Mathematical and General. 28 Nov. 2003; 36(47): 11765-78, IOP Publishing, Journal Paper
  61. Wojciechowski KW, Remarks on "Poisson ratio beyond the limits of the elasticity theory", J Phys. Soc. Jpn. 72, 1819-1820 (2003).
  62. Wojciechowski KW, Tretiakov KV, Branka AC, Kowalik M, Elastic properties of two-dimensional hard disks in the close packing limit, Journal of Chemical Physics. 8 July 2003; 119(2): 939-46, AIP, Journal Paper
  63. Wojciechowski KW, Tretiakov KV, Kowalik M, Elastic properties of dense solid phases of hard cyclic pentamers and heptamers in two dimensions, Physical Review E Statistical, Nonlinear, and Soft Matter Physics. March 2003; 67(3): 36121-1-14, APS through AIP, Journal Paper

    2002

  64. Novikov VV, Wojciechowski KW, Viscoelastic properties of inhomogeneous media with a fractal structure, Journal of Experimental and Theoretical Physics. Sept. 2002; 95(3): 462-71; Original: Zhurnal Eksperimental'noi i Teoreticheskoi Fiziki. Sept. 2002; 122(3): 538-48, MAIK Nauka, Journal Paper
  65. Novikov VV, Wojciechowski KW, Frequency dependences of dielectric properties of metal insulator composites, Physics of The Solid State. Nov. 2002; 44(11): 2055 62; Original: Fizika Tverdogo Tela. Nov. 2002; 44(11): 1963-9, MAIK Nauka, Journal Paper
  66. Pieranski P; Wojciechowski KW, On non measurable sets and invariant tori, Chaos, Solitons and Fractals. April 2002; 13(5): 1093-7, Elsevier, Journal Paper
  67. Tretiakov KV; Wojciechowski KW, Orientational phase transition between hexagonal solids in planar systems of hard cyclic pentamers and heptamers, Journal of Physics: Condensed Matter. 18 Feb. 2002; 14(6): 1261-73, IOP Publishing, Journal Paper

    2001

  68. Novikov VV, Wojciechowski KW, Elastic properties of inhomogeneous media with chaotic structure, Belov DV, Privalko VP, Physical Review E Statistical, Nonlinear, and Soft Matter Physics. March 2001; 63(3): 036120/1-7, APS through AIP, Journal Paper
  69. Tretiakov KV, Wojciechowski KW, Elastic properties of the rectangular crystalline phase of planar hard cyclic pentamers, TASK Quarterly. July 2001; 5(3): 331-40, TASK Publishing, Conference Paper; Journal Paper
  70. Wojciechowski KW, Novikov VV, Negative Poisson's ratio and percolating structures, TASK Quarterly. Jan. 2001; 5(1): 5-11, TASK Publishing, Journal Paper

    2000

  71. Branka AC, Nose-Hoover chain method for nonequilibrium molecular dynamics simulation, Physical Review E Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. May 2000; 61(5): 4769-73, APS through AIP, Journal Paper
  72. Branka AC, Das AK, Heyes DM, Overdamped Brownian motion in periodic symmetric potentials, Journal of Chemical Physics. 8 Dec. 2000; 113(22): 9911-19, AIP, Journal Paper
  73. Branka AC, Wojciechowski KW, Generalization of Nose and Nose Hoover isothermal dynamics, Physical Review E Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. Sept. 2000; 62(3): 3281-92, APS through AIP, Journal Paper
  74. Heyes DM; Branka AC, More efficient Brownian dynamics algorithms, Molecular Physics. 10 Dec. 2000; 98(23): 1949-60, Taylor & Francis, Journal Paper
  75. Novikov VV, Wojciechowski KW, Privalko VP, Anomalous dielectric relaxation of inhomogeneous media with chaotic structure, Journal of Physics: Condensed Matter. 5 June 2000; 12(22): 4869-79, IOP Publishing, Journal Paper

    1999

  76. Branka AC, Heyes DM, Algorithms for Brownian dynamics computer simulations: Multivariable case, Physical Review E Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. Aug. 1999; 60(2): 2381-7, APS through AIP, Journal Paper
  77. Heyes DM; Branka AC, Calculation of nanocolloidal liquid time scales by molecular dynamics simulations, Molecular Physics. 20 June 1999; 96(12): 1757-66, Taylor & Francis, Journal Paper
  78. Novikov VV, Wojciechowski KW, Negative Poisson coefficient of fractal structures, Physics of the Solid State. Dec. 1999; 41(12): 1970-5; Original: Fizika Tverdogo Tela. Dec. 1999; 41(12): 2147-53, AIP, Journal Paper
  79. Tretiakov KV, Wojciechowski KW, Efficient Monte Carlo simulations using a shuffled nested Weyl sequence random number generator, Physical Review E Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. Dec. 1999; 60(6): 7626-8, A