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Fluctuation-dissipation: Response theory in statistical physics
Reductionism, Emergence and Levels of Reality: The Importance of Being Borderline
Newton’s third law does not apply to the interaction between philosophers (‘them’) and physicists (‘us’). It has usually been asymmetrical, with ‘us’ influencing ‘them’, without ‘them’ acting on…
The Steady State Fluctuation Relation for the Dissipation Function
Abstract We give a proof of transient fluctuation relations for the entropy production (dissipation function) in nonequilibrium systems, which is valid for most time reversible dynamics. We then…
Entropy production and coarse graining in Markov processes
The results provide strong evidence that entropy production is not directly affected by a coarse-graining procedure which decimates fast states with respect to a given time threshold, provided that it does not entirely remove loops carrying a net probability current.
Comments on the Entropy of Nonequilibrium Steady States
We discuss the entropy of nonequilibrium steady states. We analyze the so-called spontaneous production of entropy in certain reversible deterministic nonequilibrium system, and its link with the…
Effects of breaking vibrational energy equipartition on measurements of temperature in macroscopic oscillators subject to heat flux
When the energy content of a resonant mode of a crystalline solid in thermodynamic equilibrium is directly measured, assuming that quantum effects can be neglected it coincides with temperature…
Fluctuation-dissipation relation for chaotic non-Hamiltonian systems
In dissipative dynamical systems phase space volumes contract, on average. Therefore, the invariant measure on the attractor is singular with respect to the Lebesgue measure. As noted by Ruelle, a…
Wave-turbulence theory of four-wave nonlinear interactions.
Numerical investigations of the two-dimensional nonlinear Schrödinger equation (NLSE) and of a vibrating plate prove the following: Generic Hamiltonian four-wave systems rapidly attain a random distribution of phases independently of the slower dynamics of the amplitudes, vindicating the hypothesis of initially random phases.
Applications of Chaos and Nonlinear Dynamics in Science and Engineering - Vol. 2
This second volume concentrates on reviewing further relevant, contemporary applications of chaotic nonlinear systems as they apply to the various cutting-edge branches of engineering.
Deterministic thermostats, theories of nonequilibrium systems and parallels with the ergodic condition
Deterministic 'thermostats' are mathematical tools used to model nonequilibrium steady states of fluids. The resulting dynamical systems correctly represent the transport properties of these fluids…