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Generalised dissipative particle dynamics with energy conservation: density- and temperature-dependent potentials.

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We developed a new dissipative particle dynamics method for simulating non-isothermal systems. This generalized method accurately models density- and temperature-dependent forces, improving simulations of complex fluids.

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Area of Science:

  • Computational physics
  • Thermodynamics
  • Statistical mechanics

Background:

  • Existing dissipative particle dynamics (DPDE) methods have limitations in simulating non-isothermal systems with complex force fields.
  • Accurate modeling of density- and temperature-dependent interactions is crucial for understanding fluid behavior.

Purpose of the Study:

  • To present a generalized, energy-conserving dissipative particle dynamics (DPDE) method for non-isothermal simulations.
  • To develop a formulation suitable for particle interaction force fields dependent on both density and temperature.

Main Methods:

  • A bottom-up thermodynamic derivation considering small systems and fluctuations.
  • Reformulation using particle entropy as the independent variable instead of internal energy.
  • Introduction of 'dressed particle entropy' and 'dressed particle temperature' to account for many-body effects.
  • Implementation using a Shardlow-like splitting algorithm for numerical integration.

Main Results:

  • The generalized DPDE method successfully simulates systems with density- and temperature-dependent force fields.
  • Validation using van der Waals and Lennard-Jones fluids shows excellent agreement with theoretical predictions for particle probability distributions.
  • The method accurately captures equilibrium and non-equilibrium phenomena, including adiabatic flash heating and vapor-liquid phase separation.

Conclusions:

  • The generalized DPDE method offers a robust framework for non-isothermal simulations of complex fluids.
  • This approach enhances the accuracy and applicability of particle-based simulation methods in thermodynamics and fluid dynamics.
  • The method provides a valuable tool for studying phase transitions and dynamic processes in materials.