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相关论文: Estimation of the equilibrium free energy for glas…

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We propose a numerical technique to compute the equilibrium free energy of glasses that cannot be prepared quasi-reversibly. For such systems, standard techniques for estimating the free energy by extrapolation, cannot be used. Instead, we…

统计力学 · 物理学 2021-01-04 H. A. Vinutha , Daan Frenkel

Using a recently developed technique to estimate the equilibrium free energy of glassy materials, we explore if equilibrium simulation methods can be used to estimate the solubility of amorphous solids. As an illustration, we compute the…

统计力学 · 物理学 2021-04-07 H. A. Vinutha , Daan Frenkel

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…

统计力学 · 物理学 2012-09-11 Stephen R. Williams , Debra J. Searles , Denis J. Evans

We study the applications of non-equilibrium relations such as the Jarzynski equality and fluctuation theorem to spin glasses with gauge symmetry. It is shown that the exponentiated free-energy difference appearing in the Jarzynski equality…

无序系统与神经网络 · 物理学 2010-07-27 Masayuki Ohzeki , Hidetoshi Nishimori

Exact results for the Jarzynski equality are derived for Ising spin glass models. The Jarzynski equality is an equality that connects the work in nonequilibrium and the difference between free energies. The work is performed in switching an…

无序系统与神经网络 · 物理学 2012-03-30 Chiaki Yamaguchi

Jarzynski Equality (JE) and the thermodynamic integration method are conventional methods to calculate free energy difference (FED) between two equilibrium states with constant temperature of a system. However, a number of ensemble samples…

统计力学 · 物理学 2020-09-01 Weitao Chen

The Jarzynski Equality relates the free energy difference between two equilibrium states of a system to the average of the work over all irreversible paths to go from one state to the other. We claim that the derivation of this equality is…

统计力学 · 物理学 2009-11-10 E. G. D. Cohen , David Mauzerall

The Jarzynski equality, which relates equilibrium free-energy difference to an average of non-equilibrium work, plays a central role in modern non-equilibrium statistical thermodynamics. In this paper, we study a weaker consequence of this…

统计力学 · 物理学 2026-01-06 Dani R. Castellanos , Petr Jizba

Extracting equilibrium information from nonequilibrium measurements is a challenge task of great importance in understanding the thermodynamic properties of physical, chemical, and biological systems. The discovery of the Jarzynski equality…

统计力学 · 物理学 2021-03-29 Geng Li , Z. C. Tu

Using methods of phenomenological non-equilibrium thermodynamics, the proof is performed that Jarzynski's equality is only valid in the reversible limit and that a conclusion to non-equilibrium inequalities concerning free energy and work…

数学物理 · 物理学 2013-07-02 Wolfgang Muschik

In the global framework of finding an axiomatic derivation of nonequilibrium Statistical Mechanics from fundamental principles, such as the maximum path entropy -- also known as Maximum Caliber principle -- , this work proposes an…

统计力学 · 物理学 2017-06-28 Diego González , Sergio Davis

The scaling properties of the soft-sphere potential allow the derivation of an exact expression for the pressure of a frozen liquid, i.e., the pressure corresponding to configurations which are local minima in its multidimensional potential…

软凝聚态物质 · 物理学 2009-11-10 E. La Nave , F. Sciortino , P. Tartaglia , M. S. Shell , P. G. Debenedetti

The Jarzynski equality (JE) provides a nonequilibrium method to measure and calculate the free energy difference (FED). Note that if two systems share the same Hamiltonian at two equilibrium states, respectively, they share the same FED…

统计力学 · 物理学 2020-07-16 Liyun Zhu , Jiao Wang

At low temperatures the configurational phase space of a macroscopic complex system (e.g., a spin-glass) of $N\sim 10^{23}$ interacting particles may split into an exponential number $\Omega_s \sim \exp({\rm const} \times N)$ of ergodic…

无序系统与神经网络 · 物理学 2018-02-14 Haijun Zhou , Kang Li

We combine the formalisms of diagonal entropy and Jarzynski Equality to study the thermodynamic properties of closed quantum systems. Applying this approach to a quantum harmonic oscillator, the diagonal entropy offers a notion of…

量子物理 · 物理学 2013-07-09 Van A. Ngo , Stephan Haas

The Jarzynski equality (JE), which relates works of non-equilibrium trajectories to the free energy difference of the initial and final states of the non-equilibrium process, provides an efficient way to calculate free energies of systems…

软凝聚态物质 · 物理学 2016-04-20 Biao Wan , Cheng Yang , Yanting Wang , Xin Zhou

One particle in a classical perfect gas is driven out of equilibrium by changing its mass over a short time interval. The work done on the driven particle depends on its collisions with the other particles in the gas. This model thus…

统计力学 · 物理学 2014-04-22 T. G. Philbin , J. Anders

Using a novel thermodynamic integration scheme, we compute the excess free energy, $\gamma$, of a glass-forming, binary Lennard-Jones liquid in contact with a frozen amorphous wall, formed by particles frozen into a similar structure as the…

统计力学 · 物理学 2015-06-23 Ronald Benjamin , Jürgen Horbach

The Jarzynski equality allows the calculation of free-energy differences using values of work measured from nonequilibrium trajectories. The number of trajectories required to accurately estimate free-energy differences in this way grows…

统计力学 · 物理学 2025-05-13 Stephen Whitelam

A promising method for calculating free energy differences Delta F is to generate non-equilibrium data via ``fast-growth'' simulations or experiments -- and then use Jarzynski's equality. However, a difficulty with using Jarzynski's…

计算物理 · 物理学 2007-05-23 F. Marty Ytreberg , Daniel M. Zuckerman
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