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With the path integral approach, the thermal average in a multi-electronic-state quantum systems can be approximated by the ring polymer representation on an extended configuration space, where the additional degrees of freedom are…

数值分析 · 数学 2020-11-24 Xiaoyu Lei , Zhennan Zhou

The stochastic thermodynamics provides a framework for the description of systems that are out of thermodynamic equilibrium. It is based on the assumption that the elementary constituents are acted by random forces that generate a…

统计力学 · 物理学 2020-06-26 Mário J. de Oliveira

Starting from an algebraic approach of quantum physics it has been shown via the Tomita-Takesaki theorem and the KMS condition that the canonical density matrix contains the dynamics of the system provided we use a rescaling of time. In…

统计力学 · 物理学 2009-02-06 J. P. Badiali

We develop a Lindblad framework for quantum stochastic thermodynamics to study the nonequilibrium thermodynamics of open quantum systems. Our approach adopts the local quantum detailed balance condition, ensuring thermodynamic consistency…

量子物理 · 物理学 2025-02-28 Jin-Fu Chen

We investigate to what extent one can use a thermodynamic description of turbulent flow as a source of stochastic kinetic energy for three-dimensional self-assembly of magnetically interacting macroscopic particles. We confirm that the…

Concepts of everyday use like energy, heat, and temperature have acquired a precise meaning after the development of thermodynamics. Thermodynamics provides the basis for understanding how heat and work are related and with the general…

统计力学 · 物理学 2007-05-23 D. Reguera , J. M. Rubi , J. M. G. Vilar

Ring-polymer instanton theory has been developed to simulate the quantum dynamics of molecular systems at low temperatures. Chemical reaction rates can be obtained by locating the dominant tunneling pathway and analyzing fluctuations around…

化学物理 · 物理学 2019-03-25 Pierre Winter , Jeremy O. Richardson

We show that a single change in the derivation of the linearized semiclassical-initial value representation (LSC-IVR or classical Wigner approximation) results in a classical dynamics which conserves the quantum Boltzmann distribution. We…

化学物理 · 物理学 2015-04-10 Timothy J. H. Hele , Michael J. Willatt , Andrea Muolo , Stuart C. Althorpe

The ring-polymer molecular dynamics (RPMD) was used to calculate the thermal rate coefficients of the two-channel roaming reaction H + MgH. Both reaction channels, tight and roaming, are explicitly considered. This is a pioneering attempt…

化学物理 · 物理学 2021-05-26 Hui Yang , Wenbin Fan , Junhua Fang , Jianing Song , Yongle Li

A fundamental problem in modern thermodynamics is how a molecular-scale machine performs useful work, while operating away from thermal equilibrium without excessive dissipation. To this end, we derive a friction tensor that induces a…

统计力学 · 物理学 2012-05-09 David A. Sivak , Gavin E. Crooks

We investigate whether making the friction spatially dependent on the reaction coordinate introduces quantum effects into the thermal reaction rates for dissipative reactions. Quantum rates are calculated using the numerically exact…

We present a general formalism able to derive the kinetic equations of polymer dynamics. It is based on the application of nonequilibrium thermodynamics to analyze the irreversible processes taking place in the conformational space of the…

软凝聚态物质 · 物理学 2009-11-07 J. M. Rubi , A. Perez-Madrid

We apply the restricted-path-integral (RPI) theory of non-minimally disturbing continuous measurements for correct description of frictional Brownian motion. The resulting master equation is automatically of the Lindblad form, so that the…

量子物理 · 物理学 2009-11-07 Michael B. Mensky , Stig Stenholm

We demonstrate an efficient and accurate, general-purpose first-principles blueprint for calculating anharmonic vibrational free energy and predicting structural phase transition temperatures of solids. Thermodynamic integration is…

材料科学 · 物理学 2024-03-14 Junsoo Park , Zhigang Wu , John W. Lawson

We introduce functional methods to study the non-equilibrium dynamics of a quantum massless scalar field at finite temperature in a gravitational field. We calculate the Close Time Path (CTP) effective action and, using its formal…

高能物理 - 唯象学 · 物理学 2009-10-31 Antonio Campos , B. L. Hu

A formalism for quantum many-body systems is proposed through a semiclassical treatment in phase space, allowing us to establish a stochastic thermodynamics incorporating quantum statistics. Specifically, we utilize a stochastic…

统计力学 · 物理学 2024-12-23 Zhaoyu Fei

We analyze the WAHUHA Floquet protocol recently applied to arrays of Rydberg atoms and derive beyond-leading-order corrections in the high-frequency expansion of the effective spin theory. We find that an appropriate choice of the pulses…

量子气体 · 物理学 2026-01-22 Edoardo Tiburzi , Lorenzo Maffi , Luca Dell'Anna , Marco Di Liberto

The piston system (particles in a box) is the simplest and paradigmatic model in traditional thermodynamics. However, the recently established framework of stochastic thermodynamics (ST) fails to apply to this model system due to the…

统计力学 · 物理学 2016-10-28 Zongping Gong , Yueheng Lan , H. T. Quan

Matsubara dynamics has recently emerged as the most general form of a quantum-Boltzmann-conserving classical dynamics theory for the calculation of single-time correlation functions. Here, we present a generalization of Matsubara dynamics…

化学物理 · 物理学 2019-09-04 Kenneth A. Jung , Pablo E. Videla , Victor S. Batista

We extend ring-polymer molecular dynamics (RPMD) to allow for the direct simulation of general, electronically non-adiabatic chemical processes. The kinetically constrained (KC) RPMD method uses the imaginary-time path-integral…

统计力学 · 物理学 2014-03-05 Artur R. Menzeleev , Franziska Bell , Thomas F. Miller