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Mpemba effect refers to the counterintuitive effect where a system which is initially further from the final steady state equilibrates faster than an identical system that is initially closer. The closeness to the final state is defined in…

Statistical Mechanics · Physics 2023-03-21 Apurba Biswas , V . V. Prasad , R. Rajesh

We study the local relaxation of closed quantum systems through the relative entropy between the reduced density matrix and its long time limit. We show, using analytic arguments combined with numerical checks, that this relative entropy…

Statistical Mechanics · Physics 2025-10-29 Filiberto Ares , Colin Rylands , Pasquale Calabrese

The Empemba effect (ME) is investigated in the context of ubiquitous quantum oscillating and two-level systems (TLS) using a novel approach (DOI 10.1088/1402-4896/ad97f1). Exact reduced density matrices for various initial states are…

Quantum Physics · Physics 2025-09-03 Fardin Kheirandish , Narges Cheraghpour , Adam Moradian

Quantum Mpemba effect occurs when a quantum system, residing far away from the steady state, relaxes faster than a relatively nearer state. We look for the presence of this highly counterintuitive effect in the relaxation dynamics of the…

Statistical Mechanics · Physics 2025-10-29 Pitambar Bagui , Arijit Chatterjee , Bijay Kumar Agarwalla

We present a mesoscopic model for thermoelectric phenomena in terms of an interacting particle system, a lattice electron gas dynamics that is a suitable extension of the standard simple exclusion process. We concentrate on electronic heat…

Statistical Mechanics · Physics 2009-11-10 Christian Maes , Maarten H. van Wieren

We study a one-dimensional quasiperiodic tight-binding model with simultaneous off-diagonal (hopping) and diagonal (onsite) modulations. Using the inverse participation ratio and the wave-packet centroid, we construct…

Disordered Systems and Neural Networks · Physics 2026-01-27 Ao Zhou , Feng Lu , Shujie Cheng , Gao Xianlong

We investigate temperature quenches across the reentrant phase transition of the antiferromagnetic Ising model in a magnetic field and show that the strong direct and inverse Mpemba effects arise when quenches terminate in the paramagnetic…

Statistical Mechanics · Physics 2026-05-01 Kristian Blom , Doron Benyamin , Uwe Thiele , Oren Raz , Aljaz Godec

Water exhibits many unique properties compared to other liquids, with some of these explained and others remaining enigmatic. Among them, it was proposed and extensively debated that hot water would freeze faster than cold water. Numerous…

Chemical Physics · Physics 2025-12-02 James D. Brownridge , Matthieu Zinet , Paul Sotta , Francois Ganachaud

In the 1960s, Tanzanian student Erasto Mpemba and his teacher published an article with the title "Cool" in the journal Physics Education (Mpemba, E. B. - Osborne, D. G.: Cool?. In: Physics Education, vol.4, 1969, pp. 172-175.). In this…

Physics Education · Physics 2015-06-05 Marek Balazovic , Boris Tomasik

We present a theoretical interpretation of the recently revealed features of temperature evolution in the ultracold plasma clouds released from a magneto-optical trap, namely: (a) its independence at the sufficiently large times on the…

Plasma Physics · Physics 2009-05-12 Yurii V. Dumin

We find analytically the complete set of eigenvalues and eigenvectors associated with Metropolis dynamics on a complete graph. As an application, we use this information to study a counter-intuitive relaxation phenomenon, called the Mpemba…

Mathematical Physics · Physics 2019-02-07 Israel Klich , Marija Vucelja

We investigate relaxation-order inversion, known as the quantum Mpemba effect (QME), in a minimal open many-body system called a one-dimensional four-site Bose--Hubbard chain governed by Lindblad dynamics with local number dephasing.…

The phenomenon where a quantum system can be exponentially accelerated to its stationary state has been referred to as the Quantum Mpemba Effect (QMpE). Due to its analogy with the classical Mpemba effect, hot water freezes faster than cold…

Quantum Physics · Physics 2025-07-23 J. Furtado , Alan C. Santos

Control of cooling and heating processes is essential in many industrial and biological processes. In fact, the time evolution of an observable quantity may differ according to the previous history of the system. For example, a system that…

Soft Condensed Matter · Physics 2019-04-12 Antonio Lasanta , Francisco Vega Reyes , Antonio Prados , Andrés Santos

Complex and even non-monotonic responses to external control can be found in many thermodynamic systems. In such systems, non-equilibrium shortcuts can rapidly drive the system from an initial state to a desired final state. One example is…

Statistical Mechanics · Physics 2023-04-28 Supraja S. Chittari , Zhiyue Lu

By means of extensive equilibrium molecular dynamics simulations we have investigated, the behavior of the interfacial tension $\gamma$ of two immiscible symmetrical Lennard-Jones fluids. This quantity is studied as function of reduced…

Statistical Mechanics · Physics 2016-08-15 Enrique Diaz-Herrera , José Alejandre , Guillermo Ramírez-Santiago , F. Forstmann

A theoretical interpretation of the recent experimental studies of temperature evolution in the course of time in the freely-expanding ultracold plasma bunches, released from a magneto-optical trap, is discussed. The most interesting result…

Plasma Physics · Physics 2015-05-27 Yu. V. Dumin

We study phase ordering dynamics in the three-dimensional nonconserved XY model, via Monte Carlo simulations, for quenches from paramagnetic phase to certain final temperatures $T_f$ within the ferromagnetic region of the phase diagram. The…

Statistical Mechanics · Physics 2026-05-14 Wasim Akram , Nalina Vadakkayil , Sohini Chatterjee , Subir K. Das

The Mpemba Effect can be studied with Markovian dynamics in a non-equilibrium thermodynamics framework. The Markovian Mpemba Effect can be observed in a variety of systems including the Ising model. We demonstrate that the Markovian Mpemba…

Disordered Systems and Neural Networks · Physics 2024-03-26 Felipe Amorim , Joey Wisely , Nathan Buckley , Christiana DiNardo , Daniel Sadasivan

The first non-empirical computation of lattice thermal conductivity has been performed for MgO using molecular dynamics (MD), a non-empirical ionic model (the Variationally Induced Breathing (VIB) model), and Green-Kubo theory. The…

Materials Science · Physics 2008-02-03 Ronald E. Cohen
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