共查询到20条相似文献,搜索用时 78 毫秒
1.
范德瓦耳斯方法只考虑了分子之间的吸引力, 未考虑排斥力, 所以范德瓦耳斯方程与实际气体并不十
分符合. 玻尔兹曼因子方法既包含了分子之间的吸引力, 也包含了相邻分子之间的排斥力, 巧妙地克服了“ 统计物理
学处理互作用粒子系统所遇到的困难” , 所以由玻尔兹曼因子方法推导出来的实际气体玻尔兹曼因子方程, 不仅与
传统基础知识一脉相承, 涵盖了理想气体物态方程、 范德瓦耳斯方程与维里方程, 而且真正打开了在定量上精确计
算分子相互作用特性的大门, 实现了精确计算摩尔表面自由能及其相关物理量的目标; 较好地解决了范德瓦耳斯方
程所存在的公认缺陷问题 相似文献
2.
通过线性稳定性分析,得到了多前车速度差模型的稳定性条件, 并发现通过调节多前车信息,使交通流的稳定区域明显扩大. 通过约化摄动方法 研究了该模型的非线性动力学特性:在稳定流区域,得到了描述密度波的Burgers方程;在交 通流的不稳定区域内,在临界点附近获得了描述车头间距的修正的Korteweg-de Vries (modified Korteweg-de Vries, mKdV)方程; 在亚稳态区域内,在中性稳定曲线附近获得了描述车头间距 的KdV方程. Burgers的孤波解、mKdV方程的扭结-反扭结波解及KdV方程的 孤波解描述了交通流堵塞现象. 相似文献
3.
4.
5.
以正六边形的格子Boltzman方法为基础,通过气体动力学的Euler方程与浅水波方程的比拟,修改了原有的LBM方法的平衡态分布函烽,使LBM方法所对应的流体力方程与浅水水波方程一致。一维问题的计算结果与离散速度法得到的计算结果作了比较。 相似文献
6.
7.
针对口径天线及其近区任意厚均匀介质体的复杂系统,应用表面积分方程(SIE)方法结合模式匹配方法(MM)建立了模式激励的新型一体化电磁模型。在馈电端口采取模式匹配方法模拟了波导中的激励情况,将金属壁处理为理想导电体,并在金属壁上利用边界条件建立电场积分方程(EFIE);利用零场等效原理在介质体内外表面分别建立电场积分方程和磁场积分方程(MFIE),并组合内外表面建立的电场积分方程和磁场积分方程为PMCHW方程;最后使用矩量法对所建立的EFIE-PMCHW-MM组合方程进行求解。文中结合喇叭天线设计了两个典型算例,所提混合方法 EFIE-PMCHW-MM给出的数值结果与商用软件FEKO高度一致,且在求解口径天线与近区厚介质体耦合问题时由于未知量显著减少,大幅度提高了仿真效率,降低了计算机资源消耗。 相似文献
8.
行星运动物理问题的简单处理 总被引:3,自引:0,他引:3
从角动量和能量守恒定律出发,建立行星椭圆运动的轨道方程,导出行星运动时的各个物理量表达式,从而给出了一种以初等数学为基础的处理行星运动的简洁方法。 相似文献
9.
10.
本文介绍了时间演化方程的Lie代数解法.求出了谐振子势场中裂变F-P方程解析解的积分表式.该方法容易推广到变系数情形. 相似文献
11.
New exact solitary wave solutions to generalized mKdV equation and generalized Zakharov--Kuzentsov equation 总被引:2,自引:0,他引:2 下载免费PDF全文
In this paper,
based on hyperbolic tanh-function method and homogeneous balance
method, and auxiliary equation method, some new exact solitary
solutions to the generalized mKdV equation and generalized
Zakharov--Kuzentsov equation are constructed by the method of
auxiliary equation with function transformation with aid of
symbolic computation system Mathematica. The method is of important
significance in seeking new exact solutions to the evolution
equation with arbitrary nonlinear term. 相似文献
12.
13.
In this Letter, the Exp-function method is used to construct solitary and soliton solutions of nonlinear evolution equations. The Klein-Gordon, Burger-Fisher and Sharma-Tasso-Olver equations are chosen to illustrate the effectiveness of the method. The method is straightforward and concise, and its applications are promising. The Exp-function method presents a wider applicability for handling nonlinear wave equations. 相似文献
14.
LIU Cheng-Shi 《理论物理通讯》2006,45(2):219-223
A trial equation method to nonlinear evolution equation
with rank inhomogeneous is given. As applications, the exact
traveling wave solutions to some higher-order nonlinear equations
such as generalized Boussinesq equation, generalized Pochhammer-Chree
equation, KdV-Burgers equation, and KS equation and so on, are
obtained. Among these, some results are new. The proposed method is
based on the idea of reduction of the order of ODE. Some mathematical
details of the proposed method are discussed. 相似文献
15.
LIU Chun-Ping 《理论物理通讯》2011,56(2):223-227
A modified homogeneous balance method is proposed by improving some key steps in the homogeneous balance method. Bilinear equations of some nonlinear evolution equations are derived by using the modified homogeneous balance method. Generalized Boussinesq equation, KP equation, and mKdV equation are chosen as examples to llustrate our method. This approach is also applicable to a large variety of nonlinear evolution equations. 相似文献
16.
Local discontinuous Galerkin method for solving Burgers and coupled Burgers equations 总被引:1,自引:0,他引:1 下载免费PDF全文
In the current work, we extend the local discontinuous Galerkin method to a more general application system. The Burgers and coupled Burgers equations are solved by the local discontinuous Galerkin method. Numerical experiments are given to verify the efficiency and accuracy of our method. Moreover the numerical results show that the method can approximate sharp fronts accurately with minimal oscillation. 相似文献
17.
smail Aslan 《理论物理通讯》2014,(5):595-599
The extended simplest equation method is used to solve exactly a new differential-difference equation of fractional-type, proposed by Narita [J. Math. Anal. Appl. 381 (2011) 963] quite recently, related to the discrete MKdV equation. It is shown that the model supports three types of exact solutions with arbitrary parameters: hyperbolic, trigonometric and rational, which have not been reported before. 相似文献
18.
简便通用型蒸气压方程及汽化热的新算法 总被引:5,自引:0,他引:5
1概述至今为止,已发表的通用蒸气压方程比较多,但在工程上获得广泛应用的却很少,其中最受青睐的是Antoine蒸气压方程。该方程使用简便,在一定温度范围内计算精度也较满意,但方程中的三个常数需用实测的蒸气压数据回归确定,这给工程计算带来不便。鉴于此,本文通过对该方程结构特性进行研究,认为此方程常数与物质结构性质密切相关,并找到了直接确定常数的方法。2Antoine常数的确定方法本文首先选用了正常沸点(几,K),临界点(尺,To)以及定义偏心因子(叫值的状态点,把Antoine方程应用于该三个状态点,通过联立求解,由此导出… 相似文献
19.
Figen Kangalgil 《Physics letters. A》2008,372(11):1831-1835
In this Letter, auxiliary equation method is proposed for constructing more general exact solutions of nonlinear partial differential equation with the aid of symbolic computation. In order to illustrate the validity and the advantages of the method we choose the Ostrovsky equation. As a result, many new and more general exact solutions have been obtained for the equation. 相似文献