Within the framework of quantum statistical mechanics,we have proposed an exact analytical solution to the problemof Bose-Einstein condensation(BEC)of harmonically trapped two-dimensional(2D)ideal photons.We utilize t...Within the framework of quantum statistical mechanics,we have proposed an exact analytical solution to the problemof Bose-Einstein condensation(BEC)of harmonically trapped two-dimensional(2D)ideal photons.We utilize this analyticalsolution to investigate the statistical properties of ideal photons in a 2D dye-filled spherical cap cavity.The resultsof numerical calculation of the analytical solution agree completely with the foregoing experimental results in the BEC ofharmonically trapped 2D ideal photons.The analytical expressions of the critical temperature and the condensate fractionare derived in the thermodynamic limit.It is found that the 2D critical photon number is larger than the one-dimensional(1D)critical photon number by two orders of magnitude.The spectral radiance of a 2D spherical cap cavity has a sharppeak at the frequency of the cavity cutoff when the photon number exceeds the critical value determined by a temperature.展开更多
We applied the reduced graphene oxide/multi-walled carbon nanotubes/nickel oxide(RGO/MWCNTs/Ni O)nanocomposite as the counter electrode(CE) in dye-sensitized solar cells(DSSCs) on fluorine-doped tin oxide substrates b...We applied the reduced graphene oxide/multi-walled carbon nanotubes/nickel oxide(RGO/MWCNTs/Ni O)nanocomposite as the counter electrode(CE) in dye-sensitized solar cells(DSSCs) on fluorine-doped tin oxide substrates by blade doctor method. Power conversion efficiency(PCE) of 8.13 % was achieved for this DSSCs device, which is higher than that of DSSCs devices using Ni O, RGO, and RGO/Ni O-CE(PCE = 2.71 %, PCE = 6.77 % and PCE = 7.63 %). Also, the fill factor of the DSSCs devices using the RGO/MWCNTs/Ni O-CE was better than that of other CEs. The electron transfer measurement of cyclic voltammetry and electrochemical impedance spectroscopy showed that RGO/MWCNTs/Ni O film could provide fast electron transfer between the CE and the electrolyte, and high electrocatalytic activity for the reduction of triiodide in a CE based on RGO/MWCNTs/Ni O in a DSSC.展开更多
To understand how a woodpecker is able accelerate its head to such a high velocity in a short amount of time,a multi-rigid-segment model of a woodpecker's body is established in this study.Based on the skeletal speci...To understand how a woodpecker is able accelerate its head to such a high velocity in a short amount of time,a multi-rigid-segment model of a woodpecker's body is established in this study.Based on the skeletal specimen of the woodpecker and several videos of woodpeckers pecking,the parameters of a three-degree-of-freedom system are determined.The high velocity of the head is found to be the result of a whipping effect,which could be affected by muscle torque and tendon stiffness.The mechanism of whipping is analyzed by comparing the response of a hinged rod to that of a rigid rod.Depending on the parameters,the dynamic behavior of a hinged rod is classified into three response modes.Of these,a high free-end velocity could be achieved in mode II.The model is then generalized to a multihinge condition,and the free-end velocity is found to increase with hinge number,which explains the high free-end velocity resulting from whipping.Furthermore,the effects of some other factors,such as damping and mass distribution,on the velocity are also discussed.展开更多
We establish a quantum field theory of phase transitions in gapless superconductor CeCoIn5.It is found that uniform Cooper pair gases with pure gradient interactions with negative coefficient can undergo a Bardeen–Co...We establish a quantum field theory of phase transitions in gapless superconductor CeCoIn5.It is found that uniform Cooper pair gases with pure gradient interactions with negative coefficient can undergo a Bardeen–Cooper–Schrieffer(BCS)condensation below a critical temperature.In the BCS condensation state,bare Cooper pairs with opposite wave vectors are bound into Cooper molecules,and uncoupled bare Cooper pairs are transformed into a new kind of quasiparticle,i.e.,the dressed particles.The Cooper molecule system is a condensate or a superfluid,and the dressed particle system is a normal fluid.The critical temperature is derived analytically.The critical temperature of the superconductor CeCoIn5 is obtained to be Tc=2.289 K,which approaches the experimental data.The transition from the BCS condensation state to the normal state is a first-order phase transition.展开更多
基金supported by the National Natural Science Foundation of China(Grant Nos.10174024 and 10474025).
文摘Within the framework of quantum statistical mechanics,we have proposed an exact analytical solution to the problemof Bose-Einstein condensation(BEC)of harmonically trapped two-dimensional(2D)ideal photons.We utilize this analyticalsolution to investigate the statistical properties of ideal photons in a 2D dye-filled spherical cap cavity.The resultsof numerical calculation of the analytical solution agree completely with the foregoing experimental results in the BEC ofharmonically trapped 2D ideal photons.The analytical expressions of the critical temperature and the condensate fractionare derived in the thermodynamic limit.It is found that the 2D critical photon number is larger than the one-dimensional(1D)critical photon number by two orders of magnitude.The spectral radiance of a 2D spherical cap cavity has a sharppeak at the frequency of the cavity cutoff when the photon number exceeds the critical value determined by a temperature.
基金supported by the National Basic Research Program(2011CB933300)of Chinathe National Natural Science Foundation of China(11374110,11204093,51371085,and 11304106)
文摘We applied the reduced graphene oxide/multi-walled carbon nanotubes/nickel oxide(RGO/MWCNTs/Ni O)nanocomposite as the counter electrode(CE) in dye-sensitized solar cells(DSSCs) on fluorine-doped tin oxide substrates by blade doctor method. Power conversion efficiency(PCE) of 8.13 % was achieved for this DSSCs device, which is higher than that of DSSCs devices using Ni O, RGO, and RGO/Ni O-CE(PCE = 2.71 %, PCE = 6.77 % and PCE = 7.63 %). Also, the fill factor of the DSSCs devices using the RGO/MWCNTs/Ni O-CE was better than that of other CEs. The electron transfer measurement of cyclic voltammetry and electrochemical impedance spectroscopy showed that RGO/MWCNTs/Ni O film could provide fast electron transfer between the CE and the electrolyte, and high electrocatalytic activity for the reduction of triiodide in a CE based on RGO/MWCNTs/Ni O in a DSSC.
基金support of the National Natural Science Foundation of China(NSFC)(Grant 11372163)the National Fundamental Research Program of China (Grant 2011CB610305)the support of the NSFC Key Project 11032001
文摘To understand how a woodpecker is able accelerate its head to such a high velocity in a short amount of time,a multi-rigid-segment model of a woodpecker's body is established in this study.Based on the skeletal specimen of the woodpecker and several videos of woodpeckers pecking,the parameters of a three-degree-of-freedom system are determined.The high velocity of the head is found to be the result of a whipping effect,which could be affected by muscle torque and tendon stiffness.The mechanism of whipping is analyzed by comparing the response of a hinged rod to that of a rigid rod.Depending on the parameters,the dynamic behavior of a hinged rod is classified into three response modes.Of these,a high free-end velocity could be achieved in mode II.The model is then generalized to a multihinge condition,and the free-end velocity is found to increase with hinge number,which explains the high free-end velocity resulting from whipping.Furthermore,the effects of some other factors,such as damping and mass distribution,on the velocity are also discussed.
基金Supported by the National Natural Science Foundation of China under Grant Nos 10174024 and 10474025
文摘We establish a quantum field theory of phase transitions in gapless superconductor CeCoIn5.It is found that uniform Cooper pair gases with pure gradient interactions with negative coefficient can undergo a Bardeen–Cooper–Schrieffer(BCS)condensation below a critical temperature.In the BCS condensation state,bare Cooper pairs with opposite wave vectors are bound into Cooper molecules,and uncoupled bare Cooper pairs are transformed into a new kind of quasiparticle,i.e.,the dressed particles.The Cooper molecule system is a condensate or a superfluid,and the dressed particle system is a normal fluid.The critical temperature is derived analytically.The critical temperature of the superconductor CeCoIn5 is obtained to be Tc=2.289 K,which approaches the experimental data.The transition from the BCS condensation state to the normal state is a first-order phase transition.