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An equation of state for an ideal gas with a small number of particles is studied. The resulting equation is found to differ from that expected in conventional thermodynamics, which is strikingly illustrated when considering the traditional…

Statistical Mechanics · Physics 2011-11-09 Tsuyoshi Hondou

Using classical thermodynamics, we argue that Maxwell's demon loses its battle against Clausius as any temperature difference or other thermodynamic forces it creates is immediately compensated by spontaneous counterbalancing flows that…

Classical Physics · Physics 2022-01-03 P. D. Gujrati

The birth, life, and death of Maxwell's demon provoked a profound discussion about the interplay between thermodynamics, computation, and information. Even after its exorcism, the demon continues to inspire a multidisciplinary field. This…

Quantum Physics · Physics 2025-08-13 A. de Oliveira Junior , Jonatan Bohr Brask , Rafael Chaves

This paper discusses Maxwell's demon thought experiment. In recent years, there has been extensive research on Maxwell's demon. I first provide a detailed overview of important historical milestones of Maxwell's demon thought experiment.…

History and Philosophy of Physics · Physics 2022-09-21 Galina Weinstein

The study of a particle with position-dependent effective mass (pdem), within a double heterojunction is extended into the complex domain --- when the region within the heterojunctions is described by a non Hermitian ${\cal{PT}}$ symmetric…

Quantum Physics · Physics 2015-06-04 Anjana Sinha

We compute the Bohmian trajectories of the incoming scattering plane waves for Klein's potential step in explicit form. For finite norm incoming scattering solutions we derive their asymptotic space-time localization and we compute some…

Quantum Physics · Physics 2009-11-07 Gebhard Gruebl , Raimund Moser , Klaus Rheinberger

Symmetries of both closed and open-system dynamics imply many significant constraints. These generally have instantiations in both classical and quantum dynamics (Noether's theorem, for instance, applies to both sorts of dynamics). We here…

Quantum Physics · Physics 2020-11-03 Iman Marvian , Robert W. Spekkens

Some recent work pointed out the usefulness of taking a large-deviation perspective when trying to extract anything resembling a macroscopic order parameter from a computer simulation. In this paper we note that the end-to-end distance of…

Soft Condensed Matter · Physics 2026-03-20 Eleftherios Mainas , Jan Tobochnik , Richard Stratt

We revisit quantum Maxwell demon in thermodynamic feedback cycle in the steady-state regime. We derive a generalized version of the Clausius inequality for a finite-time steady feedback cycle with a single heat bath. It is shown to be…

Statistical Mechanics · Physics 2022-09-08 Kenta Koshihara , Kazuya Yuasa

Motivated by the recent theoretical study of (bright) soliton diode effects in systems with multiple scatterers, as well as by experimental investigations of soliton-impurity interactions, we consider some prototypical case examples of…

Pattern Formation and Solitons · Physics 2017-08-23 F. Tsitoura , Z. A. Anastassi , J. L. Marzuola , P. G. Kevrekidis , D. J. Frantzeskakis

We study direct and inverse scattering problem for systems of interacting particles, having web-like structure. Such systems consist of a finite number of semi-infinite chains attached to the central part formed by a finite number of…

Spectral Theory · Mathematics 2016-12-19 Isaac Alvarez-Romero , Yurii Lyubarskii

Scattering of solitons and dark solitons by potential walls is studied in the nonlinear Schroedinger equation under various conditions. We investigate the conditions under which solitons are split into two solitons at the potential wall. We…

Pattern Formation and Solitons · Physics 2009-11-10 Hidetsugu Sakaguchi , Mitsuaki Tamura

Various biological and synthetic media out of equilibrium can be viewed as many-ratchet systems that rectify environmental noise through local measurements and information processing, like in Maxwell's prototypical demon. These systems pose…

Soft Condensed Matter · Physics 2026-04-16 Bryan VanSaders , Michel Fruchart , Vincenzo Vitelli

The concept of Maxwell demon plays an essential role in connecting thermodynamics and information theory, while entanglement and non-locality are fundamental features of quantum theory. Given the rapid advancements in the field of quantum…

Quantum discord was proposed as an information theoretic measure of the ``quantumness'' of correlations. I show that discord determines the difference between the efficiency of quantum and classical Maxwell's demons in extracting work from…

Quantum Physics · Physics 2007-05-23 Wojciech Hubert Zurek

Classical and quantum electronic circuits provide ideal platforms to investigate stochastic thermodynamics and they have served as a stepping stone to realize Maxwell's demons with highly controllable protocols. In this article we first…

Statistical Mechanics · Physics 2024-01-24 J. P. Pekola , I. M. Khaymovich

Using the method of quantum trajectories we study a quantum chaotic dissipative ratchet appearing for particles in a pulsed asymmetric potential in the presence of a dissipative environment. The system is characterized by directed transport…

Statistical Mechanics · Physics 2007-05-23 Gabriel G. Carlo , Giuliano Benenti , Giulio Casati , Dima L. Shepelyansky

We suggest a quantum circuit model which simulates the black-hole evaporation process. In particular, Almheiri-Marolf-Polchinski-Sully (AMPS) paradox and the ER=EPR correspondence are reconsidered regarding our proposed model, which assumes…

General Relativity and Quantum Cosmology · Physics 2025-05-30 H. Hadi , Amin Rezaei Akbarieh , Emmanuel N. Saridakis

We study the asymptotic behavior of Bohmian trajectories in a scattering situation with short range potential and for wave functions with a scattering and a bound part. It is shown that the set of possible trajectories splits into…

Mathematical Physics · Physics 2009-11-11 S. Roemer , D. Duerr , T. Moser

Complex, non-Hermitian potentials V(x) can often generate standard quantum bound states. H. F. Jones [Phys. Rev. D 78, 065032 (2008)] demonstrated that the idea cannot directly be transferred to scattering. We reveal that a return to the…

Quantum Physics · Physics 2009-08-14 Miloslav Znojil