Zobrazeno 1 - 10
of 353
pro vyhledávání: '"Evans, Denis J."'
Publikováno v:
Diffusion fundamentals. 11(57):1-8
Using the Fluctuation Theorem (FT), we give a first-principles derivation of Boltzmann’s postulate of equal a priori probability in phase space for the microcanonical ensemble. Using a corollary of the Fluctuation Theorem, namely the Second Law Ine
Externí odkaz:
https://ul.qucosa.de/id/qucosa%3A14022
https://ul.qucosa.de/api/qucosa%3A14022/attachment/ATT-0/
https://ul.qucosa.de/api/qucosa%3A14022/attachment/ATT-0/
Publikováno v:
Evans, Denis J., Williams, Stephen R., Rondoni, Lamberto, Searles, Debra J., Computational Methods in Science and Technology, (2017), 23, 175-184
It is well known that ergodic theory can be used to formally prove a weak form of relaxation to equilibrium for finite, mixing, Hamiltonian systems. In this Letter we extend this proof to any dynamics that preserves a mixing equilibrium distribution.
Externí odkaz:
http://arxiv.org/abs/1602.06065
Publikováno v:
J Stat Phys (2016) 164: 842
The issue of relaxation has been addressed in terms of ergodic theory in the past. However, the application of that theory to models of physical interest is problematic, especially when dealing with relaxation to nonequilibrium steady states. Here, w
Externí odkaz:
http://arxiv.org/abs/1602.05808
Autor:
Williams, Stephen R., Evans, Denis J.
We examine the question of whether fluids and crystals are differentiated on the basis of their zero frequency shear moduli or their limiting zero frequency shear viscosity. We show that while fluids, in contrast with crystals, do have a zero value f
Externí odkaz:
http://arxiv.org/abs/0905.0764
Publikováno v:
Diffusion Fundaments III (Leipziger Universitatsverlag, Leipzig) 367- 374 (2009)
Using the Dissipation Theorem and a corollary of the Fluctuation Theorem, namely the Second Law Inequality, we give a first-principles derivation of Boltzmann's postulate of equal a priori probability in phase space for the microcanonical ensemble. W
Externí odkaz:
http://arxiv.org/abs/0903.1480
Publikováno v:
J. Stat. Mech. P07029 (2009)
Using the recently derived Dissipation Theorem and a corollary of the Transient Fluctuation Theorem (TFT), namely the Second Law Inequality, we derive the unique time independent, equilibrium phase space distribution function for an ergodic Hamiltoni
Externí odkaz:
http://arxiv.org/abs/0811.2248
Publikováno v:
J. Chem. Phys. 129, 134504 (2008)
A simple model featuring a double well potential is used to represent a liquid that is quenched from an ergodic state into a history dependent glassy state. Issues surrounding the application of the Jarzynski Equality to glass formation are investiga
Externí odkaz:
http://arxiv.org/abs/0806.2918