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Nonhydrodynamic initial conditions are not soon forgotten.

T R Kirkpatrick1, D Belitz2,3, J R Dorfman1

  • 1Institute for Physical Science and Technology, University of Maryland, College Park, Maryland 20742, USA.

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This summary is machine-generated.

Hydrodynamic equations usually ignore some initial conditions. However, long-time-tail effects show these initial values are crucial for accurate hydrodynamic descriptions, impacting areas like electron diffusion.

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Area of Science:

  • Physics
  • Condensed Matter Physics
  • Statistical Mechanics

Background:

  • Hydrodynamic equations are widely used to model physical systems.
  • Current models assume only boundary and initial conditions of hydrodynamic variables are needed.
  • Initial values of other variables are typically disregarded in these descriptions.

Purpose of the Study:

  • To challenge the conventional assumption in hydrodynamic descriptions.
  • To demonstrate the significance of initial conditions beyond hydrodynamic variables.
  • To highlight the impact of long-time-tail effects on hydrodynamic modeling.

Main Methods:

  • Theoretical analysis of hydrodynamic equations.
  • Investigation of long-time-tail effects.
  • Illustrative example using diffusion in disordered electron systems.

Main Results:

  • The assumption that only hydrodynamic variables' initial conditions matter is incorrect.
  • Long-time-tail effects are ubiquitous in systems described by hydrodynamic equations.
  • The breakdown of hydrodynamic description was demonstrated using a specific physical example.

Conclusions:

  • Initial conditions of non-hydrodynamic variables can significantly influence system evolution.
  • Long-time-tail effects necessitate a re-evaluation of standard hydrodynamic modeling approaches.
  • Accurate physical predictions require considering a broader set of initial conditions.