Abstract
We review the basic theoretical principles of the adaptive resolution simulation scheme (AdResS). This method allows to change molecular resolution on-the-fly during a simulation by changing the number of degrees of freedom in specific regions of space where the required resolution is higher than in the rest of the system. We also report about recent extensions of the method to the continuum and quantum regimes.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
- 2.
This is the value that one obtains by using the insertion methods in a hybrid system exclusively composed of hybrid molecules with a fixed level of resolution \(0 \leq w = w(x) = \mathrm{const}. \leq 1\) corresponding to a fixed bulk value μ w(x).
References
Rafii-Tabar H, Hua L, Cross M (1998) A multi-scale atomistic-continuum modelling of crack propagation in a two-dimensional macroscopic plate. J Phys: Condens Matter 10:2375–2387
Broughton JQ, Abraham FF, Bernstein N, Kaxiras E (1999) Concurrent coupling of length scales: methodology and application. Phys Rev B 60:2391–2403
Hadjiconstantinou NG (1999) Combining atomistic and continuum simulations of contact-line motion. Phys Rev E 59:2475–2478
Smirnova JA, Zhigilei LV, Garrison BJ (1999) A combined molecular dynamics and finite element method technique applied to laser induced pressure wave propagation. Comput Phys Commun 118:11–16
Rottler J, Barsky S, Robbins MO (2002) Cracks and crazes: on calculating the macroscopic fracture energy of glassy polymers from molecular simulations. Phys Rev Lett 89:148304
Csanyi G, Albaret T, Payne MC, DeVita A (2004) ’Learn on the fly’: a hybrid classical and quantum-mechanical molecular dynamics simulation. Phys Rev Lett 93:175503
Heyden A, Lin H, Truhlar DG (2007) Adaptive partitioning in combined quantum mechanical and molecular mechanical calculations of potential energy functions for multiscale simulations. J Phys Chem B 111:2231–2241
Poma AB, Delle Site L (2010) Classical to path-integral adaptive resolution in molecular simulation: towards a smooth quantum-classical coupling. Phys Rev Lett 104:250201
Praprotnik M, Delle Site L, Kremer K (2005) Adaptive resolution molecular dynamics simulation: changing the degrees of freedom on the fly. J Chem Phys 123:224106
Delgado-Buscalioni R, Kremer K, Praprotnik M (2008) Concurrent triple-scale simulation of molecular liquids. J Chem Phys 128:114110
Praprotnik M, Delle Site L, Kremer K (2008) Multiscale simulation of soft matter: from scale bridging to adaptive resolution. Annu Rev Phys Chem 59:545–571
Poblete S, Praprotnik M, Delle Site L, Kremer K (2010) Coupling different levels of resolution in molecular simulations. J Chem Phys 132:114101
Praprotnik M, Delle Site L, Kremer K (2006) Adaptive resolution scheme (adress) for efficient hybrid atomistic/mesoscale molecular dynamics simulations of dense liquids. Phys Rev E 73:066701
Praprotnik M, Matysiak S, Delle Site L, Kremer K, Clementi C (2007) Adaptive resolution simulation of liquid water. J Phys: Condens Matter 19:292201
Delgado-Buscalioni R, Kremer K, Praprotnik M (2009) Coupling atomistic and continuum hydrodynamics through a mesoscopic model: application to liquid water. J Chem Phys 131:244107
Praprotnik M, Kremer K, Delle Site L (2007) Adaptive molecular resolution via a continuous change of the phase space dimensionality. Phys Rev E 75:017701
Klapp SHL, Diestler DJ, Schoen M (2004) Why are effective potentials ‘soft’? J Phys: Condens Matter 16:7331–7352
Nonnenmacher TF (1990) Fractional integral and differential equations for a class of Levi-type probability densities. J Phys A: Math Gen 23:L697S–L700S
Hilfer R (ed) (2000) Applications of fractional calculus in physics. World Scientific Publishing, Co. Pte. Ltd, Singapore
Cotrill-Shepherd K, Naber M (2001) Fractional differential forms. J Math Phys 42:2203–2212
Tarasov VE (2004) Fractional generalization of Liouville equations. Chaos 14:123–127
Tarasov VE (2005) Fractional systems and fractional Bogoliubov hierarchy equations. Phys Rev E 71:011102
Praprotnik M, Kremer K, Delle Site L (2007) Fractional dimensions of phase space variables: a tool for varying the degrees of freedom of a system in a multiscale treatment. J Phys A: Math Theor 40:F281–F288
Junghans C, Praprotnik M, Kremer K (2008) Transport properties controlled by a thermostat: an extended dissipative particle dynamics thermostat. Soft Matter 4:156–161
Delle Site L (2007) Some fundamental problems for an energy-conserving adaptive-resolution molecular dynamics scheme. Phys Rev E 76:047701
Janežič D, Praprotnik M, Merzel F (2005) Molecular dynamics integration and molecular vibrational theory: I. New symplectic integrators. J Chem Phys 122:174101
Soddemann T, Dünweg B, Kremer K (2003) Dissipative particle dynamics: a useful thermostat for equilibrium and nonequilibrium molecular dynamics simulations. Phys Rev E 68:046702
Praprotnik M, Delle Site L, Kremer K (2007) A macromolecule in a solvent: adaptive resolution molecular dynamics simulation. J Chem Phys 126:134902
Matysiak S, Clementi C, Praprotnik M, Kremer K, Delle Site L (2008) Modeling diffusive dynamics in adaptive resolution simulation of liquid water. J Chem Phys 128:024503
Henderson RL (1974) A uniqueness theorem for fluid pair correlation functions. Phys Lett 49A:197–198
Soper AK (1996) Empirical monte carlo simulation of fluid structure. Chem Phys 202:295–306
Tschöp W, Kremer K, Hahn O, Batoulis J, Bürger T (1998) Simulation of polymer melts. II. From coarse-grained models back to atomistic description. Acta Polym 49:75–79
Reith D, Pütz M, Müller-Plathe F (2003) Deriving effective mesoscale potentials from atomistic simulations. J Comput Chem 24:1624–1636
Lyubartsev AP, Laaksonen A (1995) Calculation of effective interaction potentials from radial distribution functions: a reverse monte carlo approach. Phys Rev E 52:3730–3737
Izvekov S, Parrinello M, Burnham CB, Voth GA (2004) Effective force fields for condensed phase systems from ab initio molecular dynamics simulation: a new method for force-matching. J Chem Phys 120:10896–10913
Izvekov S, Voth GA (2005) Multiscale coarse graining of liquid-state systems. J Chem Phys 123:134105
Mullinax JW, Noid WG (2009) Generalized yvon-born-green theory for molecular systems. Phys Rev Lett 103:198104
Mullinax JW, Noid WG (2009) Extended ensemble approach for deriving transferable coarse-grained potentials. J Chem Phys 131:104110
Wang H, Junghans C, Kremer K (2009) Comparative atomistic and coarse-grained study of water: what do we lose by coarse-graining? Eur Phys J E 28:221
Espaňol P, Warren P (1995) Statistical mechanics of dissipative particle dynamics. Europhys Lett 30:191–196
Limbach HJ, Arnold A, Mann BA, Holm C (2006) Espresso—an extensible simulation package for research on soft matter systems. Comput Phys Comm 174:704–727 http://www.espresso.mpg.de
Junghans C, Poblete S (2010) A reference implementation of the adaptive resolution scheme in espresso. Comput Phys Comm 181:1449
Fabritiis GD, Delgado-Buscalioni R, Coveney PV (2006) Multiscale modeling of liquids with molecular specificity. Phys Rev Lett 97:134501
Bulo R, Ensing B, Vischer L (2009) Toward a practial method for adaptive qm/mm simulations. J Chem Theor Comp 5:2212
Tuckermann M (2002) Path integration via molecular dynamics. Quantum simulations of complex many-body systems: from theory to algorithms, NIC Series, John von Neumann Institute for Computing, pp 269–298
Bradley P. Lambeth, Christoph Junghans, Kurt Kremer, Cecilia Clementi, and Luigi Delle Site (2010): On the Locality of Hydrogen Bond Networks at Hydrophobic Interfaces J Chem Phys 133:221101
Acknowledgements
Over the years we have collaborated with many colleagues and students on the topics described in this chapter. Out of them we would like to especially thank K. Kremer, R. Delgado-Buscalioni, C. Junghans, A. B. Poma, S. Poblete, C. Clementi, B. Lambeth, and S. Matysiak for fruitful collaboration and many discussions.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer Science+Business Media New York
About this protocol
Cite this protocol
Praprotnik, M., Site, L.D. (2013). Multiscale Molecular Modeling. In: Monticelli, L., Salonen, E. (eds) Biomolecular Simulations. Methods in Molecular Biology, vol 924. Humana Press, Totowa, NJ. https://doi.org/10.1007/978-1-62703-017-5_21
Download citation
DOI: https://doi.org/10.1007/978-1-62703-017-5_21
Published:
Publisher Name: Humana Press, Totowa, NJ
Print ISBN: 978-1-62703-016-8
Online ISBN: 978-1-62703-017-5
eBook Packages: Springer Protocols