Nonequilibrium Statistical Mechanics

Mazenko, Gene F.

doi:10.1002/9783527618958

Cited by 141 publications

(196 citation statements)

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“…The average is computed on the eigenstates of the unperturbed Hamiltonian [64]. If the system is at T ¼ 0 K and initially in its ground state jGi, then we have…”

Section: Appendix C: Response To Applied Voltage In the Linear Regimementioning

confidence: 99%

Few-Electron Ultrastrong Light-Matter Coupling in a QuantumLCCircuit

Todorov

Sirtori

2014

Phys. Rev. X

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The phenomenon of ultrastrong light-matter interaction of a two-dimensional electron gas within a lumped element electronic circuit resonator is explored. The gas is coupled through the oscillating electric field of the capacitor, and in the limit of very small capacitor volumes, the total number of electrons of the system can be reduced to only a few. One of the peculiar features of our quantum mechanical system is that its Hamiltonian evolves from the fermionic Rabi model to the bosonic Hopfield model for light-matter coupling as the number of electrons is increased. We show that the Dicke states, introduced to describe the atomic super-radiance, are the natural base to describe the crossover between the two models. Furthermore, we illustrate how the ultrastrong coupling regime in the system and the associated antiresonant terms of the quantum Hamiltonian have a fundamentally different impact in the fermionic and bosonic cases. In the intermediate regime, our system behaves like a multilevel quantum bit with nonharmonic energy spacing, owing to the particle-particle interactions. Such a system can be inserted into a technological semiconductor platform, thus opening interesting perspectives for electronic devices where the readout of quantum electrodynamical properties is obtained via the measure of a DC current.

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“…The average is computed on the eigenstates of the unperturbed Hamiltonian [64]. If the system is at T ¼ 0 K and initially in its ground state jGi, then we have…”

Section: Appendix C: Response To Applied Voltage In the Linear Regimementioning

confidence: 99%

Few-Electron Ultrastrong Light-Matter Coupling in a QuantumLCCircuit

Todorov

Sirtori

2014

Phys. Rev. X

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“…In the generalized hydrodynamic description, the equations of motion for the set of coarsegrained densities φ i (x,t) are obtained in the form of Langevin equations [21]:…”

Section: Generalized Hydrodynamicsmentioning

confidence: 99%

Nonequilibrium dynamics of four-point correlations of collective density fluctuations in a supercooled liquid

Gupta

Das

2014

Phys. Rev. E

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In this paper we study the four-point correlation function χ(4) of collective density fluctuations in a nonequilibrium liquid. The equilibration is controlled by a modified stretched exponential behavior (exp[-(t(w)/τ)(β)]) having the relaxation time τ dependent on the aging time t(w). Similar aging behavior has been seen experimentally in supercooled liquids. The basic equations of fluctuating nonlinear hydrodynamics are solved here numerically to obtain χ(4) for equilibrium and non equilibrium states. We also identify a dynamic length scale ξ from the equilibrated function. ξ(T) grows with fall of temperature T. From a broader perspective, we demonstrate here that the characteristic signatures of dynamical heterogeneities in a supercooled liquid, observed previously in computer simulations of the dynamics of a small number of particles, are also present in the coarse grained equations of generalized hydrodynamics.

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“…Furthermore, we note that these properties (203) and (204) may be expressed in terms ofγ AA (τ ) defined by (190): This nature is in contrast to that of the correlation function of momentum currentJ ab (r, t). The correlation function of momentum currentJ ab (r, t) is calculated as [59,60] 1…”

Section: Green-kubo Formulae Of the Slip Lengthmentioning

confidence: 99%

Statistical Mechanical Expressions of Slip Length

Nakano

Sasa

2019

J Stat Phys

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We provide general derivations of the partial slip boundary condition from microscopic dynamics and linearized fluctuating hydrodynamics. The derivations are based on the assumption of separation of scales between microscopic behavior, such as collision of particles, and macroscopic behavior, such as relaxation of fluid to global equilibrium. The derivations lead to several statistical mechanical expressions of the slip length, which are classified into two types. The expression in the first type is given as a local transport coefficient, which is related to the linear response theory that describes the relaxation process of the fluid. The second type is related to the linear response theory that describes the non-equilibrium steady state and the slip length is given as combination of global transport coefficients, which are dependent on macroscopic lengths such as a system size. Our derivations clarify that the separation of scales must be seriously considered in order to distinguish the expressions belonging to two types. Based on these linear response theories, we organize the relationship among the statistical mechanical expressions of the slip length suggested in previous studies.

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Nonequilibrium Statistical Mechanics

Cited by 141 publications

References 0 publications

Few-Electron Ultrastrong Light-Matter Coupling in a QuantumLCCircuit

Few-Electron Ultrastrong Light-Matter Coupling in a QuantumLCCircuit

Nonequilibrium dynamics of four-point correlations of collective density fluctuations in a supercooled liquid

Statistical Mechanical Expressions of Slip Length

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