Statistical Physics II: Nonequilibrium Statistical Mechanics

By R. Kubo. 2003

1,468 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/c7b64065c401a78db0f557db7cfa5a454815486b

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Citations in the corpus

Brownian Motion in AdS/CFT (2008, unknown): “1 Linear response theory We begin our discussion of the fluctuation-dissipation theorem with a lightning review of linear response theory [32, 43].”
Blended response algorithms for linear fluctuation-dissipation for complex nonlinear dynamical systems (2007, background): “The general advantage provided by the fluctuation-dissipation theorem is that one can successfully predict the response of a dynamical system at statistical equilibrium to an arbitrary small external perturbation without ever observing the behavior of the perturbed system, which offers great versati”
Anomalous transport in the crowded world of biological cells (2013, methodology): “An equivalent way to characterize the dynamics of a tracer is to give a prescription on how individual trajectories are generated as a result of the stochastic fluctuations in the medium [15, 16].”
Non-equilibrium statistical mechanics: from a paradigmatic model to biological transport (2011, unknown): “Near an equilibrium state this theorem implies the fluctuation–dissipation relation, previously derived from linear response theory [79, 80].”
Quantum Fisher information matrix and multiparameter estimation (2019, background): “It is well known that the static susceptibility between two observables A and B, which represents the influence of 〈A〉’s perturbation on 〈B〉 under the thermal equilibrium, is proportional to the canonical correlation 1 β ∫ β 0 1 Z Tr(e −βHesHAe−sHB)ds [103], which can be further written into ∫ 1 0 T”
The Mechanics and Statistics of Active Matter (2010, background): “Strongly non-FDT behaviour has been predicted [117] in an active hydrodynamic treatment of a stiff filament in an active medium, and connections drawn to the dynamics of auditory hair cells [118] and axons [119, 120].”
Noname manuscript No. (will be inserted by the editor) (2006, unknown): “According to Kubo [1] the frictional memory kernel is related to the form of the correlation function for random force when the system is in equilibrium state.”
Scalable molecular dynamics with NAMD (2005, methodology): “The (stochastic) Langevin equation [37] is used in NAMD to generate the Boltzmann distribution for canonical (NVT) ensemble simulations.”
Dissipation Bounds All Steady-State Current Fluctuations. (2015, background): “One of the most useful insights into thermodynamics has been that fluctuations near equilibrium are completely characterized by just one principle, the fluctuation-dissipation theorem [1].”
Nonlinear optical signals and spectroscopy with quantum light (2016, background): “These two quantities are related by the universal fluctuation-dissipation relation (Hashitsume et al., 1991),”
Molecular dynamics simulations of lattice thermal conductivity and spectral phonon mean free path of PbTe: Bulk and nanostructures (2012, methodology): “Roh et al. found reduced thermal conductivity in individual single-crystalline PbTe nanowires grown by a chemical vapor transport method [6].”