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Friction incorporates the close connection between classical mechanics in irreversible thermodynamics. The translation to a quantum mechanical foundation is not trivial and requires a generalization of the Lagrange function. A change to…

Medical Physics · Physics 2015-02-02 W. Ulmer

The Caldeira-Leggett model of quantum Brownian motion is generalized using a generic velocity-dependent coupling. That leads to the description of a set of models able to capture Markovian and non-Markovian versions of Brownian and L\'evy…

Statistical Mechanics · Physics 2021-05-12 Ruward A. Mulder , Mônica. A. Caracanhas , Cristiane Morais Smith

We address the problem of a microscopic derivation of the Langevin equation for a weakly relativistic Brownian particle. A non-covariant Hamiltonian model is adopted, in which the free motion of particles is described relativistically,…

Statistical Mechanics · Physics 2015-06-17 A. V. Plyukhin

We try to clarify what are the genuine quantal effects that are associated with generalized Brownian Motion (BM). All the quantal effects that are associated with the Zwanzig-Feynman-Vernon-Caldeira-Leggett model are (formally) a solution…

chao-dyn · Physics 2009-10-30 Doron Cohen

We show in the case of a superconducting Nb ladder that a mesoscopic superconductor typically exhibits magnetoresistance oscillations whose amplitude and temperature dependence are different from those stemming from the Little-Parks effect.…

Superconductivity · Physics 2015-06-05 G. R. Berdiyorov , M. V. Milošević , M. L. Latimer , Z. L. Xiao , W. K. Kwok , F. M. Peeters

We study the dynamics of interacting lattice fermions with random hopping amplitudes and random static potentials, in presence of time-dependent electromagnetic fields. The interparticle interaction is short-range and translation invariant.…

Mathematical Physics · Physics 2017-03-08 J. -B. Bru , W. de Siqueira Pedra

The reliability of physical theories depends on whether they agree with well established physical laws. In this work, we address the compatibility of the Hamiltonian formulation of linear-response theory with the Second Law of…

Statistical Mechanics · Physics 2020-01-16 Pierre Nazé , Marcus V. S. Bonança

L\'{e}vy walk is a popular and more `physical' model to describe the phenomena of superdiffusion, because of its finite velocity. The movements of particles are under the influences of external potentials almost at anytime and anywhere. In…

Statistical Mechanics · Physics 2021-02-03 Yao Chen , Weihua Deng

The Langevin equation (LE) for the one-dimensional relativistic Brownian motion is derived from a microscopic collision model. The model assumes that a heavy point-like Brownian particle interacts with the lighter heat bath particles via…

Statistical Mechanics · Physics 2008-11-26 Jörn Dunkel , Peter Hänggi

Newton's second law has limited scope of application when transient phenomena are present. We consider a modification of Newton's second law in order to take into account a sudden change (surge) of angular momentum or linear momentum. We…

Classical Physics · Physics 2019-03-22 Mario J. Pinheiro , Marcus Büker

We show that the critical magnetic fields at which a few-electron quantum dot undergoes transitions between successive values of its angular momentum (M), for large M values follow a very simple power-law dependence on the effective…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 E. Anisimovas , A. Matulis , M. B. Tavernier , F. M. Peeters

We study electric, thermal, and thermoelectric conductivities in the vicinity of a z=2 superconductor-diffusive metal transition in two dimensions, both in the high and low frequency limits. We find violation of the Wiedemann-Franz law and…

Strongly Correlated Electrons · Physics 2013-05-29 Daniel Podolsky , Ashvin Vishwanath , Joel Moore , Subir Sachdev

Small quantum systems non-weakly coupled to a bath become in the quantum regime surrounded by a cloud of photons or phonons, which modifies their thermodynamic behavior. Exactly solvable examples are the Brownian motion of a quantum…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Th. M. Nieuwenhuizen

Much research has been done in the latter years on the subject of Lorentz violation induced by Quantum Gravity effects. On the theoretical side it has been shown that both Loop Quantum Gravity and String Theory predict that Lorentz…

General Relativity and Quantum Cosmology · Physics 2007-05-23 H. Vucetich

In this paper we address the problem of consistently construct Langevin equations to describe fluctuations in non-linear systems. Detailed balance severely restricts the choice of the random force, but we prove that this property together…

Condensed Matter · Physics 2007-05-23 J. Bonet Avalos , I. Pagonabarraga

The second law of thermodynamics tells us which state transformations are so statistically unlikely that they are effectively forbidden. Its original formulation, due to Clausius, states that "Heat can never pass from a colder to a warmer…

Fluctuation theorems are fundamental extensions of the second law of thermodynamics for small systems. Their general validity arbitrarily far from equilibrium makes them invaluable in nonequilibrium physics. So far, experimental studies of…

As a function of the magnetic flux threading the object, the Little-Parks oscillation in the critical temperature of a large-radius, thin-walled superconducting ring or hollow cylinder has a period given by $h/2e$, due to the binding of…

Superconductivity · Physics 2009-11-13 Tzu-Chieh Wei , Paul M. Goldbart

Continuous feedback control of Langevin processes may be non-Markovian due to a time lag between the measurement and the control action. We show that this requires to modify the basic relation between dissipation and time-reversal and to…

Statistical Mechanics · Physics 2015-06-18 T. Munakata , M. L. Rosinberg

In quantum electrodynamics, the quantitatively most successful theory in the history of science, intercharge forces obeying the inverse square law are due to the exchange of space-like virtual photons. The fundamental quantum process…

Classical Physics · Physics 2009-07-13 J. H. Field
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