Advanced Simulation Methods SS 2020

A preliminary registration for this course is mandatory. Interested students should send an email to Maria Fyta until March 31st 2020. Please register for this course on CAMPUS, so that every student can get access to ILIAS. The course will be administered through ILIAS.

Overview

Type

Lecture and Tutorials (2 SWS in total)

Lecturer

Prof. Dr. Christian Holm, PD. Dr. Jens Smiatek, aplProf. Dr. Maria Fyta

Course language

English or German

Location

ICP, Allmandring 3; Room: ICP Meeting Room

Time

(see below)

The course will consist of three modules supervised by Prof. Dr. Christian Holm, PD. Dr. Jens Smiatek, and aplProf. Dr. Maria Fyta. It will contain exercises, presentations, discussion meetings, and written reports, worked out in groups. Each group will have to give a talk for all modules. The students can work in groups. All groups should write a report of about 10 pages on each module, which they should submit to the responsible person for each module by the deadline set for each module.

Module 1: Maria Fyta, Inter-atomic interactions modeled with quantum mechanical simulations

Dates

First meeting: Friday, April 24 at 16:00 (teleconferencing) in the ICP meeting room (Allmandring 3, 1st floor, room 1.095).

Final meeting and presentation: Friday, May 22; time tba in the ICP meeting room (Allmandring 3, 1st floor, room 1.095).

Tutorials: Fridays 11:30-13:00 in the ICP CIP-Pool. The first tutorial will take place on tba

Deadline for reports: Thursday, May 21

Description

This module focuses on the influence of using quantum mechanical simulations. The quantum mechanical schemes which will be applied in this module are based on density functional theory (DFT). This method allows the investigation of the electronic properties of a system. An understanding of the method, an analysis of the results from the simulations is the main goal of this module. The analysis of the simulations should be written up in a report. The talk will be a presentation of a DFT-related journal paper. For this, one of the following papers can be chosen:

• Perspective: Advances and challenges in treating van der Waals dispersion forces in density functional theory, J. Klimeš and A. Michaelides, The Journal of Chemical Physics 137, 120901 (2012); doi: 10.1063/1.4754130
• Challenges for Density Functional Theory, A.J. Cohen, P. Mori-Sanchez, and W. Yang, Chemical Reviews 112, 289 (2012); dx.doi.org/10.1021/cr200107z.

Contact

If you have any questions regarding the organization or content of this module please do not hesitate to contact Maria Fyta. For practical guidance regarding the simulations Frank Uhlig.

Density functional theory and exchange-correlation functionals

Description

This part introduces the students to the density functional theory (DFT) method. A scheme which has revolutionarized the way materials and their properties are studied. The students should focus on this method and understand how it works and which its capabilities are. A specific focus would be the different levels of approximations that can be made in this method. For this, the choice of the exchange-correlation functional mapping the interactions of a system is crucial. To this end, the discussion in this module will be directed. The report should contain an introduction to the exchange-correlation functionals in DFT in the context of the simulations and the analysis of the simulations in the tutorial.

Overall, a variety of DFT exchange correlation functionals have been developed. Some of these often fail in describe complex interactions. For example, only very advanced and quite recent density functionals are able to describe the long-range dispersion interactions [2]. Hence, effective methods based on pair potentials have been developed. These methods can achieve comparable accuracy to more ab initio methods while coming at a signifcantly lower computational effort [2,3].

[1] https://dx.doi.org/10.1063/1.4754130

[2] https://dx.doi.org/10.1103/PhysRevLett.102.073005

[3] https://dx.doi.org/10.1063/1.3382344

Tutorial

In this exercise you will test different exchange correlation functionals for two systems (silicon and graphite) and analyze the results. All simulations will be performed with the software package SIESTA. A thorough analysis of the stability and energetics of the two system is expected. Tutorial files and brief instructions can be found in ?. The software is installed on our CIP pool machines under /group/allatom/.

Files AdvSimMethoMod1.zip (11.89 MB)

Pseudopotential for LMKLL-VDW C_VDW.psf (140 KB) (rename it to C.psf in order to use it in SIESTA)

Media:Graphene.png

Media:Graphene_layers.png

Media:Graphite.png

Media:Graphite_layers.png

Literature

• A bird's-eye view of density-functional theory, Klaus Capelle, arXiv:cond-mat/0211443 (2002).
• Self-Consistent Equations Including Exchange and Correlation Effects, W. Kohn and L.J. Sham, , Phys. Rev. (140), A1133 (1965).
• Understanding and Reducing Errors in Density Functional Calculations, Min-Cheol Kim, Eunji Sim, and Kieron Burke, Phys. Rev. Lett. 111, 073003 (2013).
• Impact of the electron-electron correlation on phonon dispersion: Failure of LDA and GGA DFT functionals in graphene and graphite, Michele Lazzeri, Claudio Attaccalite, Ludger Wirtz, and Francesco Mauri, Phys. Rev. B 78, 081406(R) (2008).
• Electronic properties of nano-graphene sheets calculated using quantum chemical DFT
• Sangam Banerjeea, , Dhananjay Bhattacharyya, Computational Materials Science, 44, 41–45 (2008).
• Dependence of band structures on stacking and field in layered graphene, Masato Aoki, , Hiroshi Amawashi, Solid State Communications 142, 123–127 (2007).
• Graphite Interplanar Bonding: Electronic Delocalization and van der Waals Interaction, J.-C. Charlier, X. Gonze and J.-P. Michenaud, Europhysics Letters), 28 , 403 (1994).

Further reading (if interested)

• An application of the van der Waals density functional: Hydrogen bonding and stacking interactions between nucleobases, V.R. Cooper, T. Thonhauser, and D.C. Langreth, J. Chem. Phys. 128, 204102 (2008).
• On the accuracy of density-functional theory exchange-correlation functionals for H bonds in small water clusters: Benchmarks approaching the complete basis set limit, B. Santra, A. Michaelides, and M. Scheffler, J. Chem. Phys. 127, 184104 (2007).
• On geometries of stacked and H-bonded nucleic acid base pairs determined at various DFT, MP2, and CCSD(T) levels up to the CCSD(T)/complete basis set limit level, I. Dąbkowska, P. Jurečka, and P. Hobza, J. Chem. Phys. 122, 204322 (2005).

Module 2: Jens Smiatek: Molecular Theories of Solutions

Dates

First meeting: May 22nd, 2020 at 10:00 a.m. on Skype.

Final meeting and presentation: tba.

Tutorials: tba.

Deadline for reports: tba

Description

This module focuses on molecular theories of solution. I will outline the main principles of solvation processes and the corresponding interactions. As we will see, most mechanisms strongly differ from highly idealized assumptions such that more effective descriptions are needed. Such considerations are represented by the Kirkwood-Buff theory of solutions or in the framework of conceptual density functional theory. The corresponding theories will be applied for the study of water-ionic liquid mixtures.

Lecture Notes

Lecture Notes for Part: Molecular Theories of Solution

Lecture Notes for Part: Conceptual Density Functional Theory

Contact

If you have any questions regarding the organization or content of this module, please do not hesitate to contact Takeshi Kobayashi or Ewa Anna Oprzeska-Zingrebe.

Part 1: Molecular Theories of Solution

Description

This part introduces the students to the field of solution research. An important theory to study solvation and binding behavior is given by the Kirkwood-Buff theory which can be well applied to computer simulations. The students should study the literature given below and present their findings. The presentation should at a minimum contain an introduction to Kirkwood-Buff theory in the context of the simulations.

Literature

• J. G. Kirkwood and F. P. Buff. "The statistical mechanical theory of solutions. I." J. Chem. Phys. 19, 774 (1951)
• V. Pierce, M. Kang, M. Aburi, S. Weerasinghe and P. E. Smith, "Recent applications of Kirkwood–Buff theory to biological systems", Cell Biochem. Biophys. 50, 1 (2008)
• J. Rösgen, B. M. Pettitt and D. W. Bolen, "Protein folding, stability, and solvation structure in osmolyte solutions", Biophys. J. 89, 2988 (2005)
• J. Smiatek, "Aqueous ionic liquids and their effects on protein structures: an overview on recent theoretical and experimental results", J. Phys. Condens. Matter 29, 233001 (2017)
• E. A. Oprzeska-Zingrebe and J. Smiatek, "Aqueous ionic liquids in comparison with standard co-solutes - Differences and common principles in their interaction with protein and DNA structures", Biophys. Rev. 10, 809 (2018)
• J. Smiatek, A. Heuer and M. Winter, "Properties of ion complexes and their impact on charge transport in organic solvent-based electrolyte solutions for lithium batteries: insights from a theoretical perspective", Batteries 4, 62 (2018)
• T. Kobayashi et al, "The properties of residual water molecules in ionic liquids: a comparison between direct and inverse Kirkwood–Buff approaches", Phys. Chem. Chem. Phys. 19, 18924 (2017)

Part 2: Simulations

Description

This part is practical. The simulations will be conducted by the software package GROMACS [1]. The students will perform the simulations of ionic liquids(IL)-water mixtures at different water concentration in combination with the SPC/E water model and OPLSAA force field for EMImBF4. To generate the initial configuration of the simulation boxes, the software package Packmol [2] will be used.

First the students simulate pure water and pure IL, and analyze the output data. Following properties will be calculated. The Kirkwood-Buff theory will be used to calculate the Kirkwood-Buff integrals. The student perform the different simulation box size to estimate the proper box size for calculating the properties.

• Kirkwood-Buff integrals
• diffusion coefficients
• mass densities

In addition to above, for water

• hydrogen bond life times and number of hydrogen bonds for water-water pairs
• water mean relaxation times

Next the student perform the IL-water mixtures at different water concentrations. After energy minimization and warm up, run 500 ns simulations with GROMACS for water mole fractions between X_H2O = 0 - 0.30.

In comparison to pure water/pure IL, the students will analyze several properties stated above and elucidate their water concentration dependent behavior. Interpret the corresponding results with regard to the findings in Phys.Chem.Chem.Phys. 19, 18924 (2017).

All the data needed for the exercise can be found in /group/sm/2019/Advsm_part2

Module 3: Christian Holm, Rudolf Weeber: Electrostatics, Lattice Boltzmann, and Electrokinetics

Dates

First meeting: tba in the ICP meeting room.

Final meeting and presentation:tba in the ICP meeting room (Allmandring 3, 1st floor, room 1.095).

Tutorials: Fridays 11:30-13:00 in the ICP CIP-Pool.

Deadline for reports: tba

Description

This module focuses on charged matter with electrostatic and hydrodynamic interactions. It should be taken in groups of three people. It consists of one lecture on electrostatic algorithms, simulations, theory, a presentation and a short report on the simulation results. You only have to give one common presentation and hand in one report. The Module 3 consists of three parts.

Contact

If you have any questions regarding the organisation or content of this module please do not hesitate to contact Christian Holm. For questions regarding the practical part of the module and technical help contact Rudolf Weeber.

Part 1: Electrostatics

Description

This part is about the theory of electrostatic algorithms for molecular dynamics simulations. It is concerned with state of the art algorithms beyond the Ewald sum, especially mesh Ewald methods. To this end the students should read the referenced literature. Christian Holm will give an hour long lecture. Afterwards we will discuss the content and try to resolve open questions. The presentation should foster the students understanding of the P3M method as well as give them an overview of its performance compared to other modern electrostatics methods.

Literature

• C. Holm.
  "Simulating Long range interactions".
  Institute for Computational Physics, Universitat Stuttgart, 2018.
  [PDF] (15.4 MB)
  

• Markus Deserno, Christian Holm.
  How to mesh up Ewald sums. I. A theoretical and numerical comparison of various particle mesh routines.
  The Journal of Chemical Physics 109:7678, 1998.
  [PDF] (307 KB) [DOI]
• Axel Arnold, Florian Fahrenberger, Christian Holm, Olaf Lenz, Matthias Bolten, Holger Dachsel, Rene Halver, Ivo Kabadshow, Franz Gähler, Frederik Heber, Julian Iseringhausen, Michael Hofmann, Michael Pippig, Daniel Potts, Godehard Sutmann.
  Comparison of scalable fast methods for long-range interactions.
  Physical Review E 88(6):063308, 2013.
  [PDF] (2.3 MB) [DOI]
• Axel Arnold, Christian Holm.
  Efficient methods to compute long range interactions for soft matter systems.
  In Advanced Computer Simulation Approaches for Soft Matter Sciences II, pages 59–109. Edited by C. Holm, K. Kremer. Part of Advances in Polymer Science.
  Springer, Berlin, 2005. ISBN: 9783540260912.
  [PDF] (1.1 MB) [DOI]

Part 2: Electro-Osmotic Flow

Description

This part is practical. It is concerned with the movement of ions in an charged slit pore. It is similar to the systems that are discussed in the Bachelors thesis of Georg Rempfer which is recommended reading. A slit pore consists of two infinite charge walls as shown in the figure to the right. In this exercise you should simulate such a system with ESPResSo. You are supposed to use a Lattice Boltzmann fluid coupled to explicit ions which are represented by charge Week-Chandler-Anderson spheres. In addition to the charge on the walls, the ions are also subject to an external electrical field parallel to the walls. Electrostatics should be handled by the P3M algorithm with ELC. A set of realistic parameters and an more in detail description of the system can be found in the thesis. You should measure the flow profile of the fluid and the density and velocity profiles of the ions. The case of the slit pore can be solved analytically either in the case of only counter ions (the so called salt free case) or in the high salt limit (Debye-Hueckel-Limit). Calculate the ion profiles in one or both of these cases and compare the results with the simulation.

Worksheet

Detailed worksheet (92 KB)

Literature

Some ESPResSo tutorials can be helpful.

• General part and parts 4 & 6 of the Lattice-Boltzmann tutorial
• Part 7 of the charged systems tutorial to see how to setup proper electrostatics in quasi-2D geometry.

• Georg Rempfer, "Lattice-Boltzmann Simulations in Complex Geometries" (1.36 MB), 2010, Institute for Computational Physics, Stuttgart

Part 3: Electrophoresis of Polyelectrolytes

Description

In this part you simulate the movement of a charged polymer under the influence of an external electrical field and hydrodynamic interactions. Set up a system consisting of a charged polymer, ions with the opposite charge to make the system neutral and an Lattice Boltzmann fluid coupled with the the ions and polymer. Apply an external field and measure the center of mass velocity of the polymer as a function of the length of the polymer for polymers of one to 20 monomers. Make sure the system is in equilibrium before you start the sampling. Compare your result to theory and experimental results (see literature).

Worksheet

Detailed worksheet (93 KB)

Instructions and Literature

General part and part 5 of Media:04-lattice_boltzmann.pdf

• Kai Grass, Ute Böhme, Ulrich Scheler, Hervé Cottet, Christian Holm.
  Importance of Hydrodynamic Shielding for the Dynamic Behavior of Short Polyelectrolyte Chains.
  Physical Review Letters 100(9):096104, 2008.
  [PDF] (115 KB) [DOI]
• Kai Christian Grass.
  Towards realistic modelling of free solution electrophoresis: a case study on charged macromolecules.
  PhD thesis, Goethe-Universität Frankfurt am Main, 2008.
  [PDF] (5.3 MB)

Report

At the final meeting day of this module, one group will give a presentation about the learned and performed work. In addition, they write a report of about 5 pages containing and discussing the obtained results and hand it in together with the reports of the other modules at the end of the course (see above).

The final report is due electronically TBA