An Expression for the Temperature 1.

• Consider a space of two variables

  • schematic representation of phase space

• Contours show lines of constant E

  • standard MD simulation moves along corresponding 3N dimensional hypersurface

• Length of contour E relates to W(E)

• While moving along the EA contour, we’d like to see how much longer the EB contour is

• Analysis yields

Relates to gradient and rate of change of gradient

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