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Sudden and abrupt changes can occur in a nonlinear system within many fields of science when such a system crosses a tipping point and rapid changes of the system occur in response to slow changes in an external forcing. These can occur…

Dynamical Systems · Mathematics 2025-09-05 Paul D. L. Ritchie , Robbin Bastiaansen , Anna S. von der Heydt , Peter Ashwin

In the probabilistic approach to quantum many-body systems, the ground-state energy is the solution of a nonlinear scalar equation written either as a cumulant expansion or as an expectation with respect to a probability distribution of the…

Statistical Mechanics · Physics 2013-04-04 Andrea Di Stefano , Massimo Ostilli , Carlo Presilla

We study first-order phase transitions in a two-temperature system, where due to the time-scale separation all the basic thermodynamical quantities (free energy, entropy, etc) are well-defined. The sign of the latent heat is found to be…

Statistical Mechanics · Physics 2009-11-11 A. E. Allahverdyan , K. G. Petrosyan

We introduce a probability current analysis of excitation energy transfer between states of an open quantum system. Expressing the energy transfer through currents of excitation probability between the states in a site representation…

Quantum Physics · Physics 2016-02-17 Jan J. J. Roden , K. Birgitta Whaley

We calculate the internal energy of the Potts model on the triangular lattice with two- and three-body interactions at the transition point satisfying certain conditions for coupling constants. The method is a duality transformation.…

Statistical Mechanics · Physics 2007-05-23 Masayuki Ohzeki , Hidetoshi Nishimori

Dynamical phase transitions are defined through non-analyticities of the survival probability of an out-of-equilibrium time-evolving state at certain critical times. They ensue from zeros of the corresponding survival amplitude. By…

Statistical Mechanics · Physics 2023-03-17 Ángel L. Corps , Pavel Stránský , Pavel Cejnar

We consider a quantum dot embedded in a three-dimensional nanowire with tunable aspect ratio a. A configuration interaction theory is developed to calculate the energy spectra of the finite 1D quantum dot systems charged with two electrons…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Y. T. Chen , C. C. Chao , S. Y. Huang , C. S. Tang , S. J. Cheng

To model a complex system intrinsically separated by a barrier, we use two random Hamiltonians, coupled to each other either by a tunneling matrix element or by an intermediate transition state. We study that model in the universal limit of…

Quantum Physics · Physics 2024-04-22 H. A. Weidenmüller

We study an ideal-gas-like model where the particles exchange energy stochastically, through energy conserving scattering processes, which take place if and only if at least one of the two particles has energy below a certain energy…

Statistical Mechanics · Physics 2015-05-27 Asim Ghosh , Urna Basu , Anirban Chakraborti , Bikas K. Chakrabarti

We report a kind of quantum phase transition which takes place in isolated quantum systems with non-thermal equilibrium states and an extra symmetry that commutes with the Hamiltonian for any values of the system parameters. A critical…

Quantum Physics · Physics 2022-02-08 Ricardo Puebla , Armando Relaño

The cross section and analyzing power of the pol{p}p -> pn pi+ reaction near threshold are estimated in terms of data obtained from the pol{p}p -> d pi+ and pp -> pp pi0 reactions. A simple final state interaction theory is developed which…

Nuclear Theory · Physics 2008-11-26 G. Faeldt , C. Wilkin

The breaking of detailed balance, the symmetry between forward and backward probability transition between two states, is crucial to understand irreversible systems. In hydrodynamic turbulence, a far-from equilibrium system, we observe a…

The change of the energy of ground state is investigated in a thermodynamical process by using the model described by one-dimensional harmonic oscillator + two-dimensional isotropic parabolic potential barrier such as $V(x,y,z)=m\omega^2…

Statistical Mechanics · Physics 2016-08-31 Tsunehiro Kobayashi , Toshiki Shimbori

We propose a general theory to describe the distribution of protein-folding transition paths. We show that transition paths follow a predictable sequence of high-free-energy transient states that are separated by free-energy barriers. Each…

Biomolecules · Quantitative Biology 2016-09-21 William M. Jacobs , Eugene I. Shakhnovich

We present a general field-theoretic strategy to analyze three connected families of continuous phase transitions which occur in nonequilibrium steady-states. We focus on transitions taking place between an active state and one absorbing…

Statistical Mechanics · Physics 2007-05-23 F. van Wijland

The selfconsistent cranking approach is extended to the case of rotation about an axis which is tilted with respect to the principal axes of the deformed potential (Tilted Axis Cranking). Expressions for the energies and the intra bands…

Nuclear Theory · Physics 2009-11-06 S. Frauendorf

We explore phenomenological consequences of coupling a non-conformal scale-invariant theory to the standard model. We point out that, under certain circumstances, non-conformal scale-invariant theories have oscillating correlation functions…

High Energy Physics - Theory · Physics 2012-03-07 Jean-François Fortin , Benjamin Grinstein , Andreas Stergiou

Quantum states evolving at equidistant steps into a set of mutually orthogonal states of finite or infinite cardinality p exhibit an interesting physical effect. The analysis of the amplitudes of the state at half the step time with the…

Quantum Physics · Physics 2009-09-29 Hans-Rudolf Thomann

Various phase transitions in models for coupled charge-density waves are investigated by means of the $\epsilon$-expansion, mean-field theory, and Monte Carlo simulations. At zero temperature the effective action for the system with…

Strongly Correlated Electrons · Physics 2009-11-10 Minchul Lee , Eun-Ah Kim , Jong Soo Lim , M. Y. Choi

We study the transition probability and coherence of a two-site system, interacting with an oscillator. Both properties depend on the initial preparation. The oscillator is prepared in a thermal state and, even though it cannot be…

Other Condensed Matter · Physics 2009-11-13 Simone Paganelli , Sergio Ciuchi