Search results
Results From The WOW.Com Content Network
Reversibility can refer to: Time reversibility , a property of some mathematical or physical processes and systems for which time-reversed dynamics are well defined Reversible diffusion , an example of a reversible stochastic process
The idea of microscopic reversibility was born together with physical kinetics. In 1872, Ludwig Boltzmann represented kinetics of gases as statistical ensemble of elementary collisions. [2] Equations of mechanics are reversible in time, hence, the reverse collisions obey the same laws.
There are two major, closely related types of reversibility that are of particular interest for this purpose: physical reversibility and logical reversibility. [ 2 ] A process is said to be physically reversible if it results in no increase in physical entropy ; it is isentropic .
The dependence of work on the path of the thermodynamic process is also unrelated to reversibility, since expansion work, which can be visualized on a pressure–volume diagram as the area beneath the equilibrium curve, is different for different reversible expansion processes (e.g. adiabatic, then isothermal; vs. isothermal, then adiabatic ...
A Markov process is called a reversible Markov process or reversible Markov chain if there exists a positive stationary distribution π that satisfies the detailed balance equations [13] =, where P ij is the Markov transition probability from state i to state j, i.e. P ij = P(X t = j | X t − 1 = i), and π i and π j are the equilibrium probabilities of being in states i and j, respectively ...
In physics, Loschmidt's paradox (named for J.J. Loschmidt), also known as the reversibility paradox, irreversibility paradox, or Umkehreinwand (from German 'reversal objection'), [1] is the objection that it should not be possible to deduce an irreversible process from time-symmetric dynamics.
In the physical realm, many irreversible processes are present to which the inability to achieve 100% efficiency in energy transfer can be attributed. The following is a list of spontaneous events which contribute to the irreversibility of processes. [13] Ageing (this claim is disputed, as aging has been demonstrated to be reversed in mice. [14]
The Verlet integrator provides good numerical stability, as well as other properties that are important in physical systems such as time reversibility and preservation of the symplectic form on phase space, at no significant additional computational cost over the simple Euler method.