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Homogeneous Generalized Master Equations
Journal of Statistical Physics, 2005One of the main assumptions in the derivation of kinetic irreversible equations from the reversible microscopic dynamics of many-particle systems is related to the initial state of the system. In particular, it is usually assumed either an uncorrelated initial state --an incorrect assumption, in principle -- or Bogoliubov's principle of weakening of ...
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Generalized master equations and the telegrapher's equation
Physica A: Statistical Mechanics and its Applications, 1990zbMATH Open Web Interface contents unavailable due to conflicting licenses.
HONGLER, MO, Streit, Ludwig
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2001
Abstract The Golden Rule is a colloquial name for a standard formula in time-dependent quantum mechanics. It provides a way to calculate the rate of transition between quantum states. It is approximate and has limited applicability; however, it is the starting point for many treatments of rate processes.
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Abstract The Golden Rule is a colloquial name for a standard formula in time-dependent quantum mechanics. It provides a way to calculate the rate of transition between quantum states. It is approximate and has limited applicability; however, it is the starting point for many treatments of rate processes.
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2016
The dynamics of a complex physical, biological, or chemical systems can often be modelled in terms of a continuous-time Markov process. The governing equations of these processes are the Fokker-Planck and the master equation. Both equations assume that the future of a system depends only on its current state, memories of its past having been wiped out ...
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The dynamics of a complex physical, biological, or chemical systems can often be modelled in terms of a continuous-time Markov process. The governing equations of these processes are the Fokker-Planck and the master equation. Both equations assume that the future of a system depends only on its current state, memories of its past having been wiped out ...
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Il Nuovo Cimento, 1964
The structure of the global master equation is clarified by means of a projection operator formalism which allows us to exhibit the physical meaning of the quantities that appear in the evolution of the momentum distribution. With the help of our new formulation, we give an explicit form to theH-theorem for the master equation and calculate to first ...
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The structure of the global master equation is clarified by means of a projection operator formalism which allows us to exhibit the physical meaning of the quantities that appear in the evolution of the momentum distribution. With the help of our new formulation, we give an explicit form to theH-theorem for the master equation and calculate to first ...
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2009
Abstract To begin with, we consider those physical phenomena likely to be modelized by random processes. The processes which are most commonly used for this type of modelization are the Markov processes, often called picturesquely ‘processes without memory’.
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Abstract To begin with, we consider those physical phenomena likely to be modelized by random processes. The processes which are most commonly used for this type of modelization are the Markov processes, often called picturesquely ‘processes without memory’.
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2014
We study here the processes that can be understood as a random walk along a straight line, but with transition rate that depend on the position where the walker is. The possible positions of the walker along the straight line are the non-negative integers. At each small time interval Δ t, the walker at position n jumps to the right, to the position n +
Tânia Tomé, Mário J. de Oliveira
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We study here the processes that can be understood as a random walk along a straight line, but with transition rate that depend on the position where the walker is. The possible positions of the walker along the straight line are the non-negative integers. At each small time interval Δ t, the walker at position n jumps to the right, to the position n +
Tânia Tomé, Mário J. de Oliveira
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2007
Abstract This chapter introduces the fundamentals of the description of the quantum dynamics of open systems in terms of quantum master equations, together with its most important applications. Special emphasis is laid on the theory of completely positive quantum dynamical semigroups, which leads to the concept of a quantum Markov ...
Heinz-Peter Breuer +1 more
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Abstract This chapter introduces the fundamentals of the description of the quantum dynamics of open systems in terms of quantum master equations, together with its most important applications. Special emphasis is laid on the theory of completely positive quantum dynamical semigroups, which leads to the concept of a quantum Markov ...
Heinz-Peter Breuer +1 more
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Rate Equations (Master Equation, Stosszahlansatz)
1989In this chapter we discuss several kinds of rate equations: equations which govern the time evolution of particle numbers. We have already encountered such equations in the context of chemical reactions. In that case we had a few equations for different sorts of particles.
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