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Absolutely! Creating your own molecular dynamics (MD) engine like GROMACS or CP2K requires mastery across several disciplines: physics, chemistry, math, numerical methods, computer science, and software engineering. Here's a detailed roadmap from scratch to expert level:


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🧭 PHASE 1 — Foundations (3–6 months)

🧠 Physics

Classical Mechanics (Lagrangian, Newtonian & Hamiltonian)

Recommended: “Classical Mechanics” by Goldstein or lectures by Walter Lewin (MIT)


Thermodynamics & Statistical Mechanics

Canonical ensembles, temperature/pressure control, Boltzmann distribution



🔢 Mathematics

Linear Algebra (matrices, eigenvalues, diagonalization)

Vector calculus (gradients, divergence, Laplacians)

Numerical methods (ODE solvers like Verlet, Runge-Kutta)

Optimization methods (e.g. steepest descent, conjugate gradients)


💻 Programming

C++ (required): classes, memory management, STL, performance

Python: scripting, data analysis (NumPy, matplotlib)

Basic data structures: arrays, lists, hash maps, trees



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🧬 PHASE 2 — Basic MD Engine (6 months)

🔧 Classical MD Implementation

Implement a basic engine:

Force calculation (e.g. Lennard-Jones)

Periodic boundary conditions

Velocity Verlet integrator

Thermostat (Berendsen, Langevin)

Simple output to .xyz



🧪 Chemistry Background

Chemical bonding, molecular geometry

Force fields (bond, angle, dihedral potentials)

Atom types and topologies


📚 Study Existing MD Software

Study source code of:

LAMMPS (C++) — classical

GROMACS (C++) — high performance classical MD

CP2K (Fortran) — DFT and hybrid QM/MM




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📊 PHASE 3 — Intermediate MD Engine (6–9 months)

🧠 Core Capabilities

Bonded interactions (bonds, angles, torsions)

Non-bonded interactions (Lennard-Jones, Coulomb, PME)

Neighbor lists and cell lists

Energy minimization (steepest descent)

Parallelization (OpenMP / MPI)


💽 File Formats

Read/write: .xyz, .gro, .pdb, .top, .mdp

Trajectory formats: .xtc, .dcd, .trr


📈 Visualization

Output files readable by VMD, Ovito, PyMOL



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🧪 PHASE 4 — Ab Initio MD / QM Integration (6–12 months)

🧠 Quantum Chemistry Basics

Schrödinger equation

Basis sets (STO, GTO, plane wave)

DFT (Kohn-Sham equations, exchange-correlation)

Pseudopotentials


🧮 Implement or Interface With:

SCF loop for energy minimization

Semiempirical methods (e.g. MNDO, PM6)

DFT libraries: LibXC, libint, or interface with CP2K modules


🔀 Hybrid QM/MM

Define QM and MM regions

Link DFT solver to classical force evaluation



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🧱 PHASE 5 — Software Engineering for MD Tools (6+ months)

🧩 Architecture & Optimization

Modular design: force_eval, integrator, topology, trajectory

Performance profiling and SIMD/vectorization

GPU acceleration (CUDA or OpenCL)

Scalable parallelism (MPI + domain decomposition)


Testing & Validation

Regression tests with known systems

Energy conservation and temperature distribution



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🎓 Optional Advanced Topics

Enhanced sampling (metadynamics, umbrella sampling)

Coarse-grained MD

Path Integral MD (nuclear quantum effects)

Free energy calculations (WHAM, BAR, TI)



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🧰 Tools & Libraries to Learn

Purpose Tools

Visualization VMD, Ovito, PyMOL
DFT libraries LibXC, libint, CP2K
Parallelism MPI, OpenMP, CUDA
Math Eigen, BLAS, LAPACK
File IO HDF5, NetCDF, GROMACS formats
Python API ASE (Atomic Simulation Environment), MDAnalysis



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🧠 Suggested Projects Along the Way

1. Write a 1D Verlet integrator for a harmonic oscillator.


2. Build a Lennard-Jones MD for argon.


3. Implement rigid water (e.g. TIP3P) with constraints.


4. Simulate protein folding (with external FF).


5. Interface with LibXC and compute DFT total energy.




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Final Goal

By the end of this roadmap, you should be able to write your own:

High-performance classical MD engine like GROMACS

Hybrid ab initio engine like CP2K (or at least implement core modules)


Would you like me to break this down into a weekly/monthly curriculum or suggest a book/course list to follow in order?
Неделя 1:

1. Философия науки как направление западной и отечественной философии.


2. Понятие науки и ее роль в обществе.


3. Философия и наука: общее, различие и взаимодействие. Функции философии в науке.
(1 час, устный ответ)


4. Структура и динамика научного знания, его уровни и формы.


5. Средства и методы научного познания.


6. Новости науки (видеоролик).
(1 час, устный ответ)