Langevin Equations in Coarse-Graining
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چکیده
where z denotes the microscopic configuration and ρeq(z)dz is the equilibrium measure for the microscopic dynamics. In some cases the actual Hamiltonian (total energy) may be expressible in terms of the coarse-grained variables and is strictly conserved, but this is not always the case since some of the energy may in fact be incorporated in the coarse-grained free energy as an “entropy”. The equilibrium distribution for the coarse variables is the coarse-grained Gibbs distribution
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