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1The equal distribution of the kinetic energy of a system among its various degrees of freedom.
‘In this work he gave what Thomson considered the first proof of the Waterston-Maxwell equipartition theorem.’
‘In the bacterium, equipartition might thus be achieved either if the cell divides at a length for which the homogeneous state is stable or if period-doubling occurs before or at an initial stage of cytokinesis.’
‘Since the network is well-appreciated as soft, thermal fluctuations even in an unstressed portion of network were expected to be many tens of nanometers based on simple equipartition ideas.’
‘The researchers expected the array to relax into a random equipartition of energies.’
1.1The principle that equipartition exists for a system in thermal equilibrium.
‘Relatively recent microrheology methods exploit the equipartition principle-where kBT drives each mode-through a generalization to viscoelastic materials including gels and cytoskeletal networks.’
‘First, the system again obeys equipartition as from Eq. 7, and at least qualitatively, the caged correlations are actually less than in a pure lipid, i.e., the system seems to exhibit more Brownian-like dynamics.’
‘According to the principle of equipartition of energy, the energy per degree of freedom for this kind of motion (called translational motion) is equal to 0.5RT, where R is the molar gas constant and T is the absolute temperature.’
‘The equipartition principle further predicts a measurable molar heat capacity for such an atom of 0.5R (about 1 cal /°C-mole) per degree of freedom.’
‘However, Marcus's expression is only applicable at temperatures sufficiently high that equipartition holds for all vibrational modes coupled to the ET reaction.’