Non-equilibrium thermodynamics of quantum bipartite system

2021 ◽  
pp. 2150294
Author(s):  
Kuan-Meng Zhang ◽  
Yi-Xin Chen
Keyword(s):  
Detailed Balance ◽  
Quantum Thermodynamics ◽  
Equilibrium Thermodynamics ◽  
Detailed Balance Condition ◽  
Balance Condition ◽  
Bipartite System ◽  
Hamiltonian Model ◽  
Thermodynamics And Statistical Mechanics ◽  
Non Equilibrium

In quantum information and quantum computation, a bipartite system provides a basic few-body framework for investigating significant properties of thermodynamics and statistical mechanics. A Hamiltonian model for a bipartite system is introduced to analyze the important role of interaction between bipartite subsystems in quantum non-equilibrium thermodynamics. We illustrate discrimination between such quantum thermodynamics and classical few-body non-equilibrium thermodynamics. By proposing a detailed balance condition of the bipartite system, we generally investigate the properties of the entropy and heat of our model, as well as the relation between them.

Some non-equilibrium invariant states for the asymmetric exclusion QMS at level one

2015 ◽  
Vol 18 (01) ◽  
pp. 1550007 ◽  
Author(s):  
Julio C. García ◽  
Fernando Guerrero-Poblete
Keyword(s):  
Detailed Balance ◽  
Necessary Condition ◽  
Invariant State ◽  
Detailed Balance Condition ◽  
Balance Condition ◽  
Starting Point ◽  
Invariant States ◽  
Asymmetric Exclusion ◽  
The One ◽  
Non Equilibrium

We review the Asymmetric Exclusion QMS in the light of new results, taking as a starting point the dynamics in the one particle space. We give a condition for the Asymmetric Exclusion QMS to be conservative, prove that an invariant state is necessarily diagonal and give conditions on eigenvalues of such an invariant state. We also give, a necessary condition to annul the generator of the predual semigroup; with this and the weighted detailed balance condition, we propose a method to construct some non-equilibrium invariant states.

Entropy, fluctuation and transport in lattice gas systems with generalized semi-detailed balance

1997 ◽  
Vol 57 (1) ◽  
pp. 175-185 ◽  
Author(s):  
HUDONG CHEN
Keyword(s):  
Lattice Gas ◽  
Detailed Balance ◽  
Statistical Properties ◽  
Continuous Systems ◽  
Physical Processes ◽  
Detailed Balance Condition ◽  
Balance Condition ◽  
Dirac Type ◽  
Reciprocity Relations ◽  
Non Equilibrium

We describe the existence of an entropy for lattice gas systems of Fermi–Dirac type based on a generalized semi-detailed balance condition. We demonstrate some essential equilibrium and non-equilibrium fluctuation and dissipation properties, including the so-called Onsager's reciprocity relations, as a consequence of this condition. Requirements for the existence of certain statistical properties in discrete lattice gas systems are not directly inferred from those in real continuous systems, but are closely related. Hence understanding in detail the causes and results for lattice gas systems may provide further insights into fundamental microscopic physical processes.

scholarly journals DYNAMICAL DETAILED BALANCE AND LOCAL KMS CONDITION FOR NON-EQUILIBRIUM STATES

2004 ◽  
Vol 18 (04n05) ◽  
pp. 435-467 ◽  
Author(s):  
LUIGI ACCARDI ◽  
KENTARO IMAFUKU
Keyword(s):  
Transport Coefficients ◽  
Detailed Balance ◽  
Equilibrium States ◽  
Detailed Balance Condition ◽  
Balance Condition ◽  
Usual Equilibrium ◽  
Kms Condition ◽  
Equivalent Conditions ◽  
Non Equilibrium

The principle of detailed balance is at the basis of equilibrium physics and is equivalent to the Kubo–Martin–Schwinger (KMS) condition (under quite general assumptions). In the present paper we prove that a large class of non-equilibrium quantum systems satisfies a dynamical generalization of the detailed balance condition (dynamical detailed balance) expressing the fact that all the micro-currents, associated to the Bohr frequencies are constant. The usual (equilibrium) detailed balance condition is characterized by the property that this constant is identically zero. From this we deduce a simple and experimentally measurable relation expressing the microcurrent associated to a transition between two levels ∊m→∊n as a linear combination of the occupation probabilities of the two levels, with coefficients given by the generalized susceptivities (transport coefficients). We then give a second characterization of the dynamical detailed balance condition using a master equation rather than the microcurrents. Finally we show that these two conditions are equivalent to a "local" generalization of the usual KMS condition. Summing up: rather than postulating some ansatz on the basis of phenomenological models or of numerical simulations, we deduce, directly in the quantum domain and from fundamental principles, some natural and simple non equilibrium generalizations of the three main characterizations of equilibrium states. Then we prove that these three, apparently very far, conditions are equivalent. These facts support our convinction that these three equivalent conditions capture a universal aspect of non equilibrium phenomena.

scholarly journals Revisit on the thermodynamic stability of Hořava–Lifshitz black hole

2018 ◽  
Vol 27 (04) ◽  
pp. 1850048
Author(s):  
Xudong Meng ◽  
Ruihong Wang
Keyword(s):  
Black Hole ◽  
Thermodynamic Properties ◽  
Thermodynamic Stability ◽  
Detailed Balance ◽  
De Sitter ◽  
Thermodynamic Variable ◽  
Detailed Balance Condition ◽  
First Law Of Thermodynamics ◽  
Balance Condition ◽  
Lifshitz Black Hole

We study the thermodynamic properties of the black hole derived in Hořava–Lifshitz (HL) gravity without the detailed-balance condition. The parameter [Formula: see text] in the HL black hole plays the same role as that of the electric charge in the Reissner–Nordström-anti-de Sitter (RN-AdS) black hole. By analogy, we treat the parameter [Formula: see text] as the thermodynamic variable and obtain the first law of thermodynamics for the HL black hole. Although the HL black hole and the RN-AdS black hole have the similar mass and temperature, due to their very different entropy, the two black holes have very different thermodynamic properties. By calculating the heat capacity and the free energy, we analyze the thermodynamic stability of the HL black hole.

Convergence of Markov chains in the relative supremum norm

2000 ◽  
Vol 37 (4) ◽  
pp. 1074-1083 ◽  
Author(s):  
Lars Holden
Keyword(s):  
Markov Chain ◽  
Detailed Balance ◽  
Continuity Condition ◽  
Supremum Norm ◽  
Weak Continuity ◽  
Norm Convergence ◽  
Detailed Balance Condition ◽  
Balance Condition ◽  
Qualitative Understanding ◽  
Doeblin Condition

It is proved that the strong Doeblin condition (i.e., ps(x,y) ≥ asπ(y) for all x,y in the state space) implies convergence in the relative supremum norm for a general Markov chain. The convergence is geometric with rate (1 - as)1/s. If the detailed balance condition and a weak continuity condition are satisfied, then the strong Doeblin condition is equivalent to convergence in the relative supremum norm. Convergence in other norms under weaker assumptions is proved. The results give qualitative understanding of the convergence.

Convergence to the equilibrium for the Pauli equation without detailed balance condition

2005 ◽  
Vol 341 (1) ◽  
pp. 5-10 ◽  
Author(s):  
Naoufel Ben Abdallah ◽  
Miguel Escobedo ◽  
Stéphane Mischler
Keyword(s):  
Detailed Balance ◽  
Pauli Equation ◽  
Detailed Balance Condition ◽  
Balance Condition
Sign in / Sign up

Export Citation Format

Share Document