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Helium spin-echo as a surface-sensitive probe of vibrational energy dissipation.

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Measures of dissipation

Physical Review A, 1989
The availability loss -\ensuremath{\Delta}${A}^{u}$ in a process is equal to the flow of the extensive thermodynamic quantities multiplied by the respective intensity differences only if the degraded work, the ``uncompensated heat'' of Clausius, is disposed of into the environment.
, Hoffmann, , Andresen, , Salamon
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DISSIPATIVITY IN THE PLANE

Russian Academy of Sciences. Sbornik Mathematics, 1993
The author starts with a fairly general definition of a dissipative solution space in the framework of the axiomatic theory of ordinary differential equations in \(\mathbb{R}^ m\) developed by \textit{V. V. Fedorchuk} and \textit{V. V. Filippov} [General topology. Basic constructions. Moscow: Izd. Mosk. Univ.
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Dissipativity of Pseudorational Behaviors

IEEE Transactions on Automatic Control, 2013
This paper studies dissipativity for a class of infinite-dimensional systems, called pseudorational, in the behavioral context. Extending the finite-dimensional counterpart, we show that a pseudorational behavior is dissipative if and only if it admits a storage function or a dissipation function. For its proof, we derive a new necessary and sufficient
Masaki Ogura 0001, Yutaka Yamamoto
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Dissipative systems in a non-dissipative framework

Physica Scripta, 2013
Dissipative systems do not have a natural space in the variational formulation of mechanics. We introduce a change of variables such that in the transformed frame the dissipative Newtonian equations mimic those for conservative systems. We present solutions of (a) a linearly damped harmonic oscillator, (b) the corresponding quadratically damped system,
Umapada Das   +3 more
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Attractors of dissipative structure in three dissipative fluids

Physical Review E, 1994
A theory to find attractors of dissipative structure is developed by using autocorrelations for distributions. It is shown that the realization of coherent structures in dissipative dynamical systems is equivalent to that of self-organized states with the minimum change rate of autocorrelations for their instantaneous values, which usually represent ...
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Dissipative distributed systems

Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187), 2002
Deals with systems described by constant coefficient linear partial differential equations. We define dissipativity with respect to a quadratic differential form, i.e., a quadratic functional in the system variables and their partial derivatives. The main result states the equivalence of dissipativity and the existence of a storage function or of a ...
Harish K. Pillai, Jan C. Willems
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Dissipative Dynamical Systems

European Journal of Control, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Quantum tunneling with dissipation: Possible enhancement by dissipative interactions

Physical Review B, 1992
The macroscopic quantum tunneling in a double-well potential with dissipation is formulated without referring to instantons. This formulation, in the domain of small dissipation, goes beyond the instanton approximation which corresponds to the two-state truncated system (or, the so-called spin-boson Hamiltonian).
, Fujikawa, , Iso, , Sasaki, , Suzuki
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Eigenfunction for dissipative dynamic operators and the attractor of the dissipative structure

Physical Review E, 1993
This study shows that the states with the minimum dissipation rate in general dissipative dynamic systems are expressed by the eigenfunctions for the dissipative dynamic operators. These eigenfunctions are shown to constitute the self-organized and self-similar decay phase as the attractor of the dissipative structure.
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