On the connection between dissipative particle dynamics and the Itô-Stratonovich dilemma

Farago, Oded; Grønbech-Jensen, Niels

doi:10.1063/1.4942114

Title: On the connection between dissipative particle dynamics and the Itô-Stratonovich dilemma

Journal Article · Tue Feb 23 00:00:00 EST 2016 · The Journal of Chemical Physics

DOI:https://doi.org/10.1063/1.4942114· OSTI ID:1239164

Farago, Oded ^[1]; Grønbech-Jensen, Niels ^[2]

Department of Biomedical Engineering, Ben-Gurion University of the Negev, Be’er Sheva 85105, Israel, Ilae Katz Institute for Nanoscale Science and Technology, Ben-Gurion University of the Negev, Be’er Sheva 85105, Israel
Department of Mechanical and Aerospace Engineering, University of California, Davis, California 95616, USA, Department of Mathematics, University of California, Davis, California 95616, USA

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Sponsoring Organization:: USDOE

Grant/Contract Number:: NE0000536000

OSTI ID:: 1239164

Journal Information:: The Journal of Chemical Physics, Journal Name: The Journal of Chemical Physics Vol. 144 Journal Issue: 8; ISSN 0021-9606

Publisher:: American Institute of PhysicsCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 6 works

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References (26)

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Constant pressure and temperature discrete-time Langevin molecular dynamics Grønbech-Jensen, Niels; Farago, Oded The Journal of Chemical Physics, Vol. 141, Issue 19 https://doi.org/10.1063/1.4901303	journal	November 2014
Dissipative particle dynamics at isothermal, isobaric, isoenergetic, and isoenthalpic conditions using Shardlow-like splitting algorithms Lísal, Martin; Brennan, John K.; Avalos, Josep Bonet The Journal of Chemical Physics, Vol. 135, Issue 20 https://doi.org/10.1063/1.3660209	journal	November 2011
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ItÔ Versus Stratonovich: 30 Years Later Mannella, Riccardo; McCLINTOCK, Peter V. E. Fluctuation and Noise Letters, Vol. 11, Issue 01 https://doi.org/10.1142/S021947751240010X	journal	March 2012
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Recent advances in Many Body Dissipative Particles Dynamics simulations of liquid-vapor interfaces Ghoufi, Aziz; Emile, Janine; Malfreyt, Patrice The European Physical Journal E, Vol. 36, Issue 1 https://doi.org/10.1140/epje/i2013-13010-7	journal	January 2013
Langevin dynamics in inhomogeneous media: Re-examining the Itô-Stratonovich dilemma Farago, Oded; Grønbech-Jensen, Niels Physical Review E, Vol. 89, Issue 1 https://doi.org/10.1103/PhysRevE.89.013301	journal	January 2014
Splitting for Dissipative Particle Dynamics Shardlow, Tony SIAM Journal on Scientific Computing, Vol. 24, Issue 4 https://doi.org/10.1137/S1064827501392879	journal	January 2003
Dissipative Particle Dynamics with Energy Conservation: Heat Conduction Ripoll, M.; Español, P.; Ernst, M. H. International Journal of Modern Physics C, Vol. 09, Issue 08 https://doi.org/10.1142/S0129183198001205	journal	December 1998
Dissipative particle dynamics: Bridging the gap between atomistic and mesoscopic simulation Groot, Robert D.; Warren, Patrick B. The Journal of Chemical Physics, Vol. 107, Issue 11 https://doi.org/10.1063/1.474784	journal	September 1997
Towards better integrators for dissipative particle dynamics simulations Besold, Gerhard; Vattulainen, Ilpo; Karttunen, Mikko Physical Review E, Vol. 62, Issue 6 https://doi.org/10.1103/PhysRevE.62.R7611	journal	December 2000
Dissipative particle dynamics with energy conservation Avalos, J. Bonet; Mackie, A. D. Europhysics Letters (EPL), Vol. 40, Issue 2 https://doi.org/10.1209/epl/i1997-00436-6	journal	October 1997
A New Representation for Stochastic Integrals and Equations Stratonovich, R. L. SIAM Journal on Control, Vol. 4, Issue 2 https://doi.org/10.1137/0304028	journal	May 1966
On the numerical treatment of dissipative particle dynamics and related systems Leimkuhler, Benedict; Shang, Xiaocheng Journal of Computational Physics, Vol. 280 https://doi.org/10.1016/j.jcp.2014.09.008	journal	January 2015
Equipartition and the Calculation of Temperature in Biomolecular Simulations Eastwood, Michael P.; Stafford, Kate A.; Lippert, Ross A. Journal of Chemical Theory and Computation, Vol. 6, Issue 7 https://doi.org/10.1021/ct9002916	journal	May 2010
A simple and effective Verlet-type algorithm for simulating Langevin dynamics Grønbech-Jensen, Niels; Farago, Oded Molecular Physics, Vol. 111, Issue 8 https://doi.org/10.1080/00268976.2012.760055	journal	January 2013
Improved dissipative particle dynamics simulations of lipid bilayers Gao, Lianghui; Shillcock, Julian; Lipowsky, Reinhard The Journal of Chemical Physics, Vol. 126, Issue 1 https://doi.org/10.1063/1.2424698	journal	January 2007
Stochastic integral Itô, Kiyosi Proceedings of the Imperial Academy, Vol. 20, Issue 8 https://doi.org/10.3792/pia/1195572786	journal	January 1944
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Mapping of dissipative particle dynamics in fluctuating hydrodynamics simulations Qiao, R.; He, P. The Journal of Chemical Physics, Vol. 128, Issue 12 https://doi.org/10.1063/1.2897991	journal	March 2008
Application of the G-JF discrete-time thermostat for fast and accurate molecular simulations Grønbech-Jensen, Niels; Hayre, Natha Robert; Farago, Oded Computer Physics Communications, Vol. 185, Issue 2 https://doi.org/10.1016/j.cpc.2013.10.006	journal	February 2014
Brownian colloidal particles: Ito, Stratonovich, or a different stochastic interpretation Sancho, J. M. Physical Review E, Vol. 84, Issue 6 https://doi.org/10.1103/PhysRevE.84.062102	journal	December 2011
Fluctuation–Dissipation Relation for Systems with Spatially Varying Friction Farago, Oded; Grønbech-Jensen, Niels Journal of Statistical Physics, Vol. 156, Issue 6 https://doi.org/10.1007/s10955-014-1045-4	journal	July 2014

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