We present an exact analytical study of an Active Brownian Particle (ABP) subject to both position and orientation stochastic resetting in a two-dimensional harmonic trap. Utilizing a Fokker-Planck-based renewal approach, we derive the system's exact moments, including the mean parallel displacement, mean squared displacement (MSD), and the fourth-order moment of displacement, and compare these with numerical simulations. To capture deviations from Gaussian behavior, we analyze the excess kurtosis, which reveals rich dynamical crossovers over time. These transitions span from Gaussian behavior (zero excess kurtosis) to two distinct non-Gaussian regimes: an activity-dominated regime (negative excess kurtosis) and a resetting-dominated regime (positive excess kurtosis). Furthermore, we quantify the steady-state phase diagrams by varying three key control parameters: activity, resetting rate, and harmonic trap strength, using steady-state excess kurtosis as the primary metric.
{"title":"Active Brownian particle under stochastic position and orientation resetting in a harmonic trap","authors":"Amir Shee","doi":"arxiv-2409.06920","DOIUrl":"https://doi.org/arxiv-2409.06920","url":null,"abstract":"We present an exact analytical study of an Active Brownian Particle (ABP)\u0000subject to both position and orientation stochastic resetting in a\u0000two-dimensional harmonic trap. Utilizing a Fokker-Planck-based renewal\u0000approach, we derive the system's exact moments, including the mean parallel\u0000displacement, mean squared displacement (MSD), and the fourth-order moment of\u0000displacement, and compare these with numerical simulations. To capture\u0000deviations from Gaussian behavior, we analyze the excess kurtosis, which\u0000reveals rich dynamical crossovers over time. These transitions span from\u0000Gaussian behavior (zero excess kurtosis) to two distinct non-Gaussian regimes:\u0000an activity-dominated regime (negative excess kurtosis) and a\u0000resetting-dominated regime (positive excess kurtosis). Furthermore, we quantify\u0000the steady-state phase diagrams by varying three key control parameters:\u0000activity, resetting rate, and harmonic trap strength, using steady-state excess\u0000kurtosis as the primary metric.","PeriodicalId":501520,"journal":{"name":"arXiv - PHYS - Statistical Mechanics","volume":"8 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142196147","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Massimiliano Giona, Giuseppe Procopo, Chiara Pezzotti
his article extends the fluctuation-dissipation analysis to generic complex fluids in confined geometries and to all the cases the hydromechanic fluid-interaction kernels may depend on the particle position. This represents a completely new way of enforcing fluctuation-dissipation theory just because the primary target is to derive an explicit functional expression for the hydromechanic force (that is unavailable from linear hydrodynamic theory) from fundamental thermodynamic principles at equilibrium (while in the classical Kubo theory the memory kernels are explicitly known, stemming from the mean-field hydromechanics of fluid-particle interactions). In this way, either the representation of hydromechanic interactions and the explicit representation of the thermal forces are derived at the same time from thermodynamic principles. The physical and conceptual implications of these results are addressed. The theory can be extended to concentrated conditions and to suspensions, as well as to active particle in confined geometries accounting for the most general linear fluid-dynamic conditions.
{"title":"Generalized fluctuation-dissipation relations in confined geometries and concentrated conditions","authors":"Massimiliano Giona, Giuseppe Procopo, Chiara Pezzotti","doi":"arxiv-2409.07562","DOIUrl":"https://doi.org/arxiv-2409.07562","url":null,"abstract":"his article extends the fluctuation-dissipation analysis to generic complex\u0000fluids in confined geometries and to all the cases the hydromechanic\u0000fluid-interaction kernels may depend on the particle position. This represents\u0000a completely new way of enforcing fluctuation-dissipation theory just because\u0000the primary target is to derive an explicit functional expression for the\u0000hydromechanic force (that is unavailable from linear hydrodynamic theory) from\u0000fundamental thermodynamic principles at equilibrium (while in the classical\u0000Kubo theory the memory kernels are explicitly known, stemming from the\u0000mean-field hydromechanics of fluid-particle interactions). In this way, either\u0000the representation of hydromechanic interactions and the explicit\u0000representation of the thermal forces are derived at the same time from\u0000thermodynamic principles. The physical and conceptual implications of these\u0000results are addressed. The theory can be extended to concentrated conditions\u0000and to suspensions, as well as to active particle in confined geometries\u0000accounting for the most general linear fluid-dynamic conditions.","PeriodicalId":501520,"journal":{"name":"arXiv - PHYS - Statistical Mechanics","volume":"64 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142196149","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Multicomponent phase separation is a routine occurrence in both living and synthetic systems. Thermodynamics provides a straightforward path to determine the phase boundaries that characterize these transitions for systems at equilibrium. The prevalence of phase separation in complex systems outside the confines of equilibrium motivates the need for a genuinely nonequilibrium theory of multicomponent phase coexistence. Here, we develop a mechanical theory for coexistence that casts coexistence criteria into the familiar form of equality of state functions. Our theory generalizes traditional equilibrium notions such as the species chemical potential and thermodynamic pressure to systems out of equilibrium. Crucially, while these notions may not be identifiable for all nonequilibrium systems, we numerically verify their existence for a variety of systems by introducing the phenomenological Multicomponent Active Model B+. Our work establishes an initial framework for understanding multicomponent coexistence that we hope can serve as the basis for a comprehensive theory for high-dimensional nonequilibrium phase transitions.
{"title":"Theory of Nonequilibrium Multicomponent Coexistence","authors":"Yu-Jen Chiu, Daniel Evans, Ahmad K. Omar","doi":"arxiv-2409.07620","DOIUrl":"https://doi.org/arxiv-2409.07620","url":null,"abstract":"Multicomponent phase separation is a routine occurrence in both living and\u0000synthetic systems. Thermodynamics provides a straightforward path to determine\u0000the phase boundaries that characterize these transitions for systems at\u0000equilibrium. The prevalence of phase separation in complex systems outside the\u0000confines of equilibrium motivates the need for a genuinely nonequilibrium\u0000theory of multicomponent phase coexistence. Here, we develop a mechanical\u0000theory for coexistence that casts coexistence criteria into the familiar form\u0000of equality of state functions. Our theory generalizes traditional equilibrium\u0000notions such as the species chemical potential and thermodynamic pressure to\u0000systems out of equilibrium. Crucially, while these notions may not be\u0000identifiable for all nonequilibrium systems, we numerically verify their\u0000existence for a variety of systems by introducing the phenomenological\u0000Multicomponent Active Model B+. Our work establishes an initial framework for\u0000understanding multicomponent coexistence that we hope can serve as the basis\u0000for a comprehensive theory for high-dimensional nonequilibrium phase\u0000transitions.","PeriodicalId":501520,"journal":{"name":"arXiv - PHYS - Statistical Mechanics","volume":"26 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142196145","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
For overdamped Langevin systems subjected to weak thermal noise and nonconservative forces, we establish a connection between Freidlin-Wentzell large deviations theory and stochastic thermodynamics. First, we derive a series expansion of the quasipotential around the detailed-balance solution, i.e. the system's free energy, and identify the condition for the linear response regime to hold even far from equilibrium. Second, we prove that the escape rate from dissipative fixed points of the macroscopic dynamics is bounded by the entropy production of trajectories that relax into, and escape from the attractors. These results provide the foundation to study the nonequilibrium thermodynamics of dissipative metastable states.
{"title":"Bridging Freidlin-Wentzell large deviations theory and stochastic thermodynamics","authors":"Davide Santolin, Nahuel Freitas, Massimiliano Esposito, Gianmaria Falasco","doi":"arxiv-2409.07599","DOIUrl":"https://doi.org/arxiv-2409.07599","url":null,"abstract":"For overdamped Langevin systems subjected to weak thermal noise and\u0000nonconservative forces, we establish a connection between Freidlin-Wentzell\u0000large deviations theory and stochastic thermodynamics. First, we derive a\u0000series expansion of the quasipotential around the detailed-balance solution,\u0000i.e. the system's free energy, and identify the condition for the linear\u0000response regime to hold even far from equilibrium. Second, we prove that the\u0000escape rate from dissipative fixed points of the macroscopic dynamics is\u0000bounded by the entropy production of trajectories that relax into, and escape\u0000from the attractors. These results provide the foundation to study the\u0000nonequilibrium thermodynamics of dissipative metastable states.","PeriodicalId":501520,"journal":{"name":"arXiv - PHYS - Statistical Mechanics","volume":"66 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142196144","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Michael Wassermair, Gerhard Kahl, Roland Roth, Andrew J. Archer
We investigate the phase ordering (pattern formation) of systems of two-dimensional core-shell particles using Monte-Carlo (MC) computer simulations and classical density functional theory (DFT). The particles interact via a pair potential having a hard core and a repulsive square shoulder. Our simulations show that on cooling, the liquid state structure becomes increasingly characterised by long wavelength density modulations, and on further cooling forms a variety of other phases, including clustered, striped and other patterned phases. In DFT, the hard core part of the potential is treated using either fundamental measure theory or a simple local density approximation, whereas the soft shoulder is treated using the random phase approximation. The different DFTs are bench-marked using large-scale grand-canonical-MC and Gibbs-ensemble-MC simulations, demonstrating their predictive capabilities and shortcomings. We find that having the liquid state static structure factor $S(k)$ for wavenumber $k$ is sufficient to identify the Fourier modes governing both the liquid and solid phases. This allows to identify from easier-to-obtain liquid state data the wavenumbers relevant to the periodic phases and to predict roughly where in the phase diagram these patterned phases arise.
{"title":"Fingerprints of ordered self-assembled structures in the liquid phase of a hard-core, square-shoulder system","authors":"Michael Wassermair, Gerhard Kahl, Roland Roth, Andrew J. Archer","doi":"arxiv-2409.06447","DOIUrl":"https://doi.org/arxiv-2409.06447","url":null,"abstract":"We investigate the phase ordering (pattern formation) of systems of\u0000two-dimensional core-shell particles using Monte-Carlo (MC) computer\u0000simulations and classical density functional theory (DFT). The particles\u0000interact via a pair potential having a hard core and a repulsive square\u0000shoulder. Our simulations show that on cooling, the liquid state structure\u0000becomes increasingly characterised by long wavelength density modulations, and\u0000on further cooling forms a variety of other phases, including clustered,\u0000striped and other patterned phases. In DFT, the hard core part of the potential\u0000is treated using either fundamental measure theory or a simple local density\u0000approximation, whereas the soft shoulder is treated using the random phase\u0000approximation. The different DFTs are bench-marked using large-scale\u0000grand-canonical-MC and Gibbs-ensemble-MC simulations, demonstrating their\u0000predictive capabilities and shortcomings. We find that having the liquid state\u0000static structure factor $S(k)$ for wavenumber $k$ is sufficient to identify the\u0000Fourier modes governing both the liquid and solid phases. This allows to\u0000identify from easier-to-obtain liquid state data the wavenumbers relevant to\u0000the periodic phases and to predict roughly where in the phase diagram these\u0000patterned phases arise.","PeriodicalId":501520,"journal":{"name":"arXiv - PHYS - Statistical Mechanics","volume":"66 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142196177","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We study the full distribution $P(E)$ of the ground-state energy of a single quantum particle in a potential $V(bf x) = V_0(bf x) + sqrt{epsilon} , V_1(bf x)$, where $V_0(bf x)$ is a deterministic "background" trapping potential and $V_1(bf x)$ is the disorder. In the weak-disorder limit $epsilon to 0$, we find that $P(E)$ scales as $P(E) sim e^{-s(E)/epsilon}$. The large-deviation function $s(E)$ is obtained by calculating the most likely configuration of $V(bf x)$ conditioned on a given ground-state energy $E$. We consider arbitrary trapping potentials $V_0(bf x)$ and white-noise disorder $V_1(bf x)$. For infinite systems, we obtain $s(E)$ analytically in the limits $E to pm infty$ and $E simeq E_0$ where $E_0$ is the ground-state energy in the absence of disorder. We perform explicit calculations for the case of a harmonic trap $V_0(bf x) propto x^2$. Next, we calculate $s(E)$ exactly for a finite, periodic one-dimensional system with a homogeneous background $V_0(x)=0$. We find that, remarkably, the system exhibits a sudden change of behavior as $E$ crosses a critical value $E_c < 0$: At $E>E_c$, the most likely configuration of $V(x)$ is homogeneous, whereas at $E < E_c$ it is inhomogeneous, thus spontaneously breaking the translational symmetry of the problem. As a result, $s(E)$ is nonanalytic: Its second derivative jumps at $E=E_c$. We interpret this singularity as a second-order dynamical phase transition.
{"title":"Full distribution of the ground-state energy of potentials with weak disorder","authors":"Naftali R. Smith","doi":"arxiv-2409.06431","DOIUrl":"https://doi.org/arxiv-2409.06431","url":null,"abstract":"We study the full distribution $P(E)$ of the ground-state energy of a single\u0000quantum particle in a potential $V(bf x) = V_0(bf x) + sqrt{epsilon} ,\u0000V_1(bf x)$, where $V_0(bf x)$ is a deterministic \"background\" trapping\u0000potential and $V_1(bf x)$ is the disorder. In the weak-disorder limit\u0000$epsilon to 0$, we find that $P(E)$ scales as $P(E) sim e^{-s(E)/epsilon}$.\u0000The large-deviation function $s(E)$ is obtained by calculating the most likely\u0000configuration of $V(bf x)$ conditioned on a given ground-state energy $E$. We\u0000consider arbitrary trapping potentials $V_0(bf x)$ and white-noise disorder\u0000$V_1(bf x)$. For infinite systems, we obtain $s(E)$ analytically in the limits\u0000$E to pm infty$ and $E simeq E_0$ where $E_0$ is the ground-state energy in\u0000the absence of disorder. We perform explicit calculations for the case of a\u0000harmonic trap $V_0(bf x) propto x^2$. Next, we calculate $s(E)$ exactly for a\u0000finite, periodic one-dimensional system with a homogeneous background\u0000$V_0(x)=0$. We find that, remarkably, the system exhibits a sudden change of\u0000behavior as $E$ crosses a critical value $E_c < 0$: At $E>E_c$, the most likely\u0000configuration of $V(x)$ is homogeneous, whereas at $E < E_c$ it is\u0000inhomogeneous, thus spontaneously breaking the translational symmetry of the\u0000problem. As a result, $s(E)$ is nonanalytic: Its second derivative jumps at\u0000$E=E_c$. We interpret this singularity as a second-order dynamical phase\u0000transition.","PeriodicalId":501520,"journal":{"name":"arXiv - PHYS - Statistical Mechanics","volume":"17 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142196148","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Andreas Weitzel, Gernot Schaller, Friedemann Queisser, Ralf Schützhold
Langevin dynamics simulations are used to analyze the static and dynamic properties of an XY model adapted to dimers forming on Si(001) surfaces. The numerics utilise high-performance parallel computation methods on GPUs. The static exponent $nu$ of the symmetry-broken XY model is determined to $nu = 1.04$. The dynamic critical exponent $z$ is determined to $z=2.13$ and, together with $nu$, shows the behavior of the Ising universality class. For time-dependent temperatures, we observe frozen domains and compare their size distribution with predictions from Kibble-Zurek theory. We determine a significantly larger quench exponent that shows little dependence on the damping or the symmetry-breaking field.
{"title":"Continuous Dimer Angles on the Silicon Surface: Critical Properties and the Kibble-Zurek Mechanism","authors":"Andreas Weitzel, Gernot Schaller, Friedemann Queisser, Ralf Schützhold","doi":"arxiv-2409.06412","DOIUrl":"https://doi.org/arxiv-2409.06412","url":null,"abstract":"Langevin dynamics simulations are used to analyze the static and dynamic\u0000properties of an XY model adapted to dimers forming on Si(001) surfaces. The\u0000numerics utilise high-performance parallel computation methods on GPUs. The\u0000static exponent $nu$ of the symmetry-broken XY model is determined to $nu =\u00001.04$. The dynamic critical exponent $z$ is determined to $z=2.13$ and,\u0000together with $nu$, shows the behavior of the Ising universality class. For\u0000time-dependent temperatures, we observe frozen domains and compare their size\u0000distribution with predictions from Kibble-Zurek theory. We determine a\u0000significantly larger quench exponent that shows little dependence on the\u0000damping or the symmetry-breaking field.","PeriodicalId":501520,"journal":{"name":"arXiv - PHYS - Statistical Mechanics","volume":"42 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142196191","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Tao Chen, Erdong Guo, Wanzhou Zhang, Pan Zhang, Youjin Deng
Disordered lattice spin systems are crucial in both theoretical and applied physics. However, understanding their properties poses significant challenges for Monte Carlo simulations. In this work, we investigate the two-dimensional random-bond Ising model using the recently proposed Tensor Network Monte Carlo (TNMC) method. This method generates biased samples from conditional probabilities computed via tensor network contractions and corrects the bias using the Metropolis scheme. Consequently, the proposals provided by tensor networks function as block updates for Monte Carlo simulations. Through extensive numerical experiments, we demonstrate that TNMC simulations can be performed on lattices as large as $1024times 1024$ spins with moderate computational resources, a substantial increase from the previous maximum size of $64times 64$ in MCMC. Notably, we observe an almost complete absence of critical slowing down, enabling the efficient collection of unbiased samples and averaging over a large number of random realizations of bond disorders. We successfully pinpoint the multi-critical point along the Nishimori line with significant precision and accurately determined the bulk and surface critical exponents. Our findings suggest that TNMC is a highly efficient algorithm for exploring disordered and frustrated systems in two dimensions.
{"title":"Tensor network Monte Carlo simulations for the two-dimensional random-bond Ising model","authors":"Tao Chen, Erdong Guo, Wanzhou Zhang, Pan Zhang, Youjin Deng","doi":"arxiv-2409.06538","DOIUrl":"https://doi.org/arxiv-2409.06538","url":null,"abstract":"Disordered lattice spin systems are crucial in both theoretical and applied\u0000physics. However, understanding their properties poses significant challenges\u0000for Monte Carlo simulations. In this work, we investigate the two-dimensional\u0000random-bond Ising model using the recently proposed Tensor Network Monte Carlo\u0000(TNMC) method. This method generates biased samples from conditional\u0000probabilities computed via tensor network contractions and corrects the bias\u0000using the Metropolis scheme. Consequently, the proposals provided by tensor\u0000networks function as block updates for Monte Carlo simulations. Through\u0000extensive numerical experiments, we demonstrate that TNMC simulations can be\u0000performed on lattices as large as $1024times 1024$ spins with moderate\u0000computational resources, a substantial increase from the previous maximum size\u0000of $64times 64$ in MCMC. Notably, we observe an almost complete absence of\u0000critical slowing down, enabling the efficient collection of unbiased samples\u0000and averaging over a large number of random realizations of bond disorders. We\u0000successfully pinpoint the multi-critical point along the Nishimori line with\u0000significant precision and accurately determined the bulk and surface critical\u0000exponents. Our findings suggest that TNMC is a highly efficient algorithm for\u0000exploring disordered and frustrated systems in two dimensions.","PeriodicalId":501520,"journal":{"name":"arXiv - PHYS - Statistical Mechanics","volume":"25 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142196146","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Brandon R. Ferrer, Alejandro V. Arzola, Denis Boyer, Juan Ruben Gomez-Solano
We experimentally study the statistics of the transition path time taken by a submicron bead to successfully traverse an energy barrier created by two optical tweezers in two prototypical viscoelastic fluids, namely, aqueous polymer and micellar solutions. We find a very good agreement between our experimental distributions and a theoretical expression derived from the generalized Langevin equation for the particle motion. Our results reveal that the mean transition path time measured in such viscoelastic fluids have a non-trivial dependence on the barrier curvature and they can be significantly reduced when compared with those determined in Newtonian fluids of the same zero-shear viscosity. We verify that the decrease of the mean transition path time can be described in terms of an effective viscosity that quantitatively coincides with that measured by linear microrheology at a frequency determined by the reactive mode that gives rise to the unstable motion over the barrier. Therefore, our results uncover the linear response of the particle during its thermally activated escape from a metastable state even when taking place in a non-Markovian bath.
{"title":"Transition path time over a barrier of a colloidal particle in a viscoelastic bath","authors":"Brandon R. Ferrer, Alejandro V. Arzola, Denis Boyer, Juan Ruben Gomez-Solano","doi":"arxiv-2409.05651","DOIUrl":"https://doi.org/arxiv-2409.05651","url":null,"abstract":"We experimentally study the statistics of the transition path time taken by a\u0000submicron bead to successfully traverse an energy barrier created by two\u0000optical tweezers in two prototypical viscoelastic fluids, namely, aqueous\u0000polymer and micellar solutions. We find a very good agreement between our\u0000experimental distributions and a theoretical expression derived from the\u0000generalized Langevin equation for the particle motion. Our results reveal that\u0000the mean transition path time measured in such viscoelastic fluids have a\u0000non-trivial dependence on the barrier curvature and they can be significantly\u0000reduced when compared with those determined in Newtonian fluids of the same\u0000zero-shear viscosity. We verify that the decrease of the mean transition path\u0000time can be described in terms of an effective viscosity that quantitatively\u0000coincides with that measured by linear microrheology at a frequency determined\u0000by the reactive mode that gives rise to the unstable motion over the barrier.\u0000Therefore, our results uncover the linear response of the particle during its\u0000thermally activated escape from a metastable state even when taking place in a\u0000non-Markovian bath.","PeriodicalId":501520,"journal":{"name":"arXiv - PHYS - Statistical Mechanics","volume":"192 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142196189","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Juliette Monsel, Matteo Acciai, Rafael Sánchez, Janine Splettstoesser
We propose an electronic bipartite system consisting of a working substance, in which a refrigeration process is implemented, and of a nonthermal resource region, containing a combination of different thermal baths. In the working substance, heat is extracted from the coldest of two electronic reservoirs (refrigeration) via heat- and particle transport through a quantum dot. This quantum dot of the working substance is capacitively coupled to the resource region. In such a setup, a finite cooling power can be obtained in the working substance, while the energy exchange with the resource region exactly cancels out on average. At the same time, information is always exchanged, even on average, due to the capacitive coupling between the two parts of the bipartite system. The proposed system therefore implements an autonomous demon with fully vanishing heat extraction from the resource. Unlike macroscopic machines, nanoscale machines exhibit large fluctuations in performance, so precision becomes an important performance quantifier. We give a comprehensive description of the thermodynamic performance of the proposed autonomous demon in terms of stochastic trajectories and of full counting statistics and demonstrate that the precision of the cooling power strongly depends on the operation principle of the device. More specifically, the interplay of information flow and counter-balancing heat flows dramatically impacts the trade-off between cooling power, efficiency, and precision. We expect this insight to be of relevance for guiding the design of energy-conversion processes exploiting nonthermal resources.
{"title":"Autonomous demon exploiting heat and information at the trajectory level","authors":"Juliette Monsel, Matteo Acciai, Rafael Sánchez, Janine Splettstoesser","doi":"arxiv-2409.05823","DOIUrl":"https://doi.org/arxiv-2409.05823","url":null,"abstract":"We propose an electronic bipartite system consisting of a working substance,\u0000in which a refrigeration process is implemented, and of a nonthermal resource\u0000region, containing a combination of different thermal baths. In the working\u0000substance, heat is extracted from the coldest of two electronic reservoirs\u0000(refrigeration) via heat- and particle transport through a quantum dot. This\u0000quantum dot of the working substance is capacitively coupled to the resource\u0000region. In such a setup, a finite cooling power can be obtained in the working\u0000substance, while the energy exchange with the resource region exactly cancels\u0000out on average. At the same time, information is always exchanged, even on\u0000average, due to the capacitive coupling between the two parts of the bipartite\u0000system. The proposed system therefore implements an autonomous demon with fully\u0000vanishing heat extraction from the resource. Unlike macroscopic machines,\u0000nanoscale machines exhibit large fluctuations in performance, so precision\u0000becomes an important performance quantifier. We give a comprehensive\u0000description of the thermodynamic performance of the proposed autonomous demon\u0000in terms of stochastic trajectories and of full counting statistics and\u0000demonstrate that the precision of the cooling power strongly depends on the\u0000operation principle of the device. More specifically, the interplay of\u0000information flow and counter-balancing heat flows dramatically impacts the\u0000trade-off between cooling power, efficiency, and precision. We expect this\u0000insight to be of relevance for guiding the design of energy-conversion\u0000processes exploiting nonthermal resources.","PeriodicalId":501520,"journal":{"name":"arXiv - PHYS - Statistical Mechanics","volume":"25 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142196178","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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