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- W1529461673 abstract "The motion of atoms and molecules in matter is described by Hamiltonians like $$ H = sumlimits_{i = 1}^N {frac{{Pmathop ilimits^2 }}{{2m}}} + sumlimits_{1 leqslant i < j leqslant N} {V({r_{ij}})} . $$ (1.1) Trajectories in phase space are uniquely determined from the initial positions and velocities of the particles. Because of the time-reversal symmetry of Hamiltonian systems, we can recover these initial conditions, if we reverse the velocities a short time after the beginning of the process. However, when we wait too long before reversing the velocities, a return to the initial conditions is no longer observed. This irreversibility results into dramatic effects on the large scale properties of matter like diffusion, viscosity, heat or electrical conductivities: the phenomenological equations describing these transport properties like the diffusion equation, $$ {partial _t}f = D{nabla ^2}f, $$ (1.2) are not time-reversal symmetric." @default.
- W1529461673 created "2016-06-24" @default.
- W1529461673 creator A5065368261 @default.
- W1529461673 date "1991-01-01" @default.
- W1529461673 modified "2023-10-15" @default.
- W1529461673 title "What is the Role of Dynamical Chaos in Irreversible Processes?" @default.
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- W1529461673 doi "https://doi.org/10.1007/978-3-642-84570-3_4" @default.
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