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Atomistic Simulations Topics Classical MD Ab Initio MD Systems Coworkers Activities in Theoretical Chemistry: Atomistic Simulations E. Spohr Lehrstuhl für Theoretische Chemie, Universität Duisburg-Essen Universitätsstr. 5 D-45141 Essen [email protected] http://www.uni-due.de/chemie/ak-spohr Arbeitskreis Wissenschaftliches Rechnen, 25.1.08 1/14

Activities in Theoretical Chemistry: Atomistic Simulations · Atomistic Simulations Topics Classical MD Ab Initio MD Systems Coworkers Activities in Theoretical Chemistry: Atomistic

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Page 1: Activities in Theoretical Chemistry: Atomistic Simulations · Atomistic Simulations Topics Classical MD Ab Initio MD Systems Coworkers Activities in Theoretical Chemistry: Atomistic

AtomisticSimulations

Topics

Classical MD

Ab Initio MD

Systems

Coworkers

Activities in Theoretical Chemistry:Atomistic Simulations

E. Spohr

Lehrstuhl für Theoretische Chemie, Universität Duisburg-EssenUniversitätsstr. 5D-45141 Essen

[email protected]://www.uni-due.de/chemie/ak-spohr

Arbeitskreis Wissenschaftliches Rechnen, 25.1.08

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Page 2: Activities in Theoretical Chemistry: Atomistic Simulations · Atomistic Simulations Topics Classical MD Ab Initio MD Systems Coworkers Activities in Theoretical Chemistry: Atomistic

AtomisticSimulations

Topics

Classical MD

Ab Initio MD

Systems

Coworkers

Overview

1 Topics

2 Classical MD

3 Ab Initio MD

4 Systems

5 Coworkers

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Page 3: Activities in Theoretical Chemistry: Atomistic Simulations · Atomistic Simulations Topics Classical MD Ab Initio MD Systems Coworkers Activities in Theoretical Chemistry: Atomistic

AtomisticSimulations

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Ab Initio MD

Systems

Coworkers

Research Topics

Molecular Dynamics of Disordered Materials,Membranes, Electrolytes, Interfaces

with empirical (“classical”) force fields(hitnrun, GroMacs, Lammps )with reactive force fields; Empirical Valence Bondmodels (hitnrun)ab initio MD: Car-Parrinello, Born-Oppenheimer-MD(CPMD,CP2K)Mesoscopic Dynamics

Electronic Structure of Solids, Solid Surfaces,Adsorbates, Heterogeneous Catalysis(Crystal03, VASP)Monte Carlolattice models for fuel cell membranes, electrodes(hitnrun)

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Page 4: Activities in Theoretical Chemistry: Atomistic Simulations · Atomistic Simulations Topics Classical MD Ab Initio MD Systems Coworkers Activities in Theoretical Chemistry: Atomistic

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Topics

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Ab Initio MD

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Coworkers

Molecular DynamicsBasics

numerical integration of Newton’s equations of motion:performed stepwise tsim = Nstep · ττ � τchar tsim � τchar

=⇒ Nstep > 106 (better: > 108)almost all time (≥ 90 %) of an MD simulation is spenton calculating forcesforces are assumed to be pairwise additive: τ ∝ O(N2)

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Page 5: Activities in Theoretical Chemistry: Atomistic Simulations · Atomistic Simulations Topics Classical MD Ab Initio MD Systems Coworkers Activities in Theoretical Chemistry: Atomistic

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Ab Initio MD

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Coworkers

Molecular DynamicsLong Range Forces

force truncation and neighbour tables (linked cell):−→ τ ∝ O(N)

long range forces: τ ∝ O(N2)

Ewald (lattice) sum: −→ τ ∝ O(N3/2)

PME, P3M (particle mesh ewald,particle-particle/particle-mesh): −→ τ ∝ O(N log N)

Fast Multipole Method (FMM) −→ τ ∝ O(N)

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Page 6: Activities in Theoretical Chemistry: Atomistic Simulations · Atomistic Simulations Topics Classical MD Ab Initio MD Systems Coworkers Activities in Theoretical Chemistry: Atomistic

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Ab Initio MD

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Molecular DynamicsFor Large Systems

1. problem: large prefactors =⇒ parallelization viadomain decomposition2. problem: Nstep must be large =⇒ τ should be small3. problem: 2 synchronization steps (e.g. MPI) persimulation time step τ (one for forces, one forcoordinates) are necessary =⇒ τ � τnetwork

=⇒ Solution: many processors (small τ ) need to beconnected with a very fast network in order tosimulate long times for large systems. . . and that’s the problem!

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Page 7: Activities in Theoretical Chemistry: Atomistic Simulations · Atomistic Simulations Topics Classical MD Ab Initio MD Systems Coworkers Activities in Theoretical Chemistry: Atomistic

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Ab Initio MD

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ab initio MD

problems are similar as for classical MDτ is usually orders of magnitude larger! =⇒ It is ’easier’to use a large number of processors, provided thenetwork is fast enoughmake use of parallel linear algebra, FFT packages

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Page 8: Activities in Theoretical Chemistry: Atomistic Simulations · Atomistic Simulations Topics Classical MD Ab Initio MD Systems Coworkers Activities in Theoretical Chemistry: Atomistic

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Coworkers

Polyelectrolyte Membranes

empirical (reactive)force fields

pore morphology

proton conductivity

proton mobility andtransportmechanisms inmodel pores

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Page 9: Activities in Theoretical Chemistry: Atomistic Simulations · Atomistic Simulations Topics Classical MD Ab Initio MD Systems Coworkers Activities in Theoretical Chemistry: Atomistic

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Ab Initio MD

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Coworkers

Electrooxidation of C1 Compounds

DFT calculations ofadsorbate clusters

ab initio MD ofreactive processes

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Page 10: Activities in Theoretical Chemistry: Atomistic Simulations · Atomistic Simulations Topics Classical MD Ab Initio MD Systems Coworkers Activities in Theoretical Chemistry: Atomistic

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Ab initio MDElectrocatalytic Oxidation of CH3OH to CH2O

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Page 11: Activities in Theoretical Chemistry: Atomistic Simulations · Atomistic Simulations Topics Classical MD Ab Initio MD Systems Coworkers Activities in Theoretical Chemistry: Atomistic

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Ab Initio MD

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Coworkers

Oxygen Reduction on Perowskite Surfaces

ab initio/DFTcalculations

ab initiothermodynamics

=⇒ relative stabilities ofsurfaces

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Page 12: Activities in Theoretical Chemistry: Atomistic Simulations · Atomistic Simulations Topics Classical MD Ab Initio MD Systems Coworkers Activities in Theoretical Chemistry: Atomistic

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Ab Initio MD

Systems

Coworkers

Oxygen Reduction on LSM SurfacesSurface Models

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Page 13: Activities in Theoretical Chemistry: Atomistic Simulations · Atomistic Simulations Topics Classical MD Ab Initio MD Systems Coworkers Activities in Theoretical Chemistry: Atomistic

AtomisticSimulations

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Ab Initio MD

Systems

Coworkers

Oxygen Reduction on LSM SurfacesPhase Diagrams

∆µO / T / p

∆µLa

surface energy

∆µO / T / p∆µLa

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Page 14: Activities in Theoretical Chemistry: Atomistic Simulations · Atomistic Simulations Topics Classical MD Ab Initio MD Systems Coworkers Activities in Theoretical Chemistry: Atomistic

AtomisticSimulations

Topics

Classical MD

Ab Initio MD

Systems

Coworkers

Acknowledgments

The GroupDr. Sergejs Piskunovs (AvH)

Dr. Klaus Kolster

Florian Wilhelm (Uni Ulm)

N.N.

External CooperationsDr. Sara Bonella, Prof. G. Ciccotti (La Sapienza, Roma)

Dr. Dmitrii Glukhov (in March), Prof. Renat Nazmutdinov (Kazan)

Prof. Wolfgang Schmickler (Ulm)

Dr. Timo Jacob (FHI Berlin, Ulm)

Dr. Christoph Hartnig (ZSW Ulm)

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